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Physics 101 Mechanics
May 2023
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Physics 101 Mechanics
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May 4, 2023
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May 4 of 2023
π – Ms. Ceres pulls a 100 kg sled with a force of 1 000 N [South 30o Up] along a flat snowy pathway with a coefficient of friction of 0.200. The sled is attached to her friend Mr. Eris whom is skiing and masses 50 kg. a) Determine the acceleration of the sled and wagon and the time it will take…
Consider a particle of mass m in a simple harmonic oscillator potential V (x) = 1 2 kx2 . Use the uncertainty principle to estimate the minimum energy of the particle in this potential. Make a reasonable assumption on the position uncertainty
On the local car dealer's lot, there are only 25 cars with power windows and only 17 cars with heated seats. The number of cars on the lot with both power windows and heated seats must be:
(MAL 2.B.25) An eyeglasses manufacturer would like to estimate the proportion of all adults in the United States who wear glasses that are farsighted. Which group should be sampled in order to provide the best estimate for this proportion?
A sound wave with a wavelength of 0.82m passes through air, and then it passes through a glass window, where its wavelength changes to 13m. If the sound wave has a constant frequency of 440Hz, what is its approximate speed as it passes through the glass
You invest money into an account that compounds the interest continuously. If you initially invest $5,000 and the interest rate is 1.2%, how long will it take for the amount in the account to reach $7,500 ? Show all of your work.
Two buses leave a station at the same time and travel in opposite directions. One bus travels 12 (mi)/(h) faster than the other. If the two buses are 560 miles apart after 4 hours, what is the rate of each bus?
An old lady is sitting on her porch, which is 3 meters away from the sidewalk, watching someone who is walking along the sidewalk at a speed of 1.5( m)/(s). How fast is she revolving her head when the person has passed her by 4 meters?
A ball that falls with an initial velocity v₀ = 10 (m/s) will travel a distance of I m in 3 seconds. Assume that the acceleration of gravity is 9.8 (m/s²). Round the final answer to two decimal places. Need help? Review these concept resources.
Amika is preheating her oven before using it to bake. Tamika wants to predict the oven temperature after x minutes. She wrote the equation y = 45x + 67, where y represents the final temperature in degrees Fahrenheit. What could the number 67 in Amika's equation represent?
The equation -16t^2 + 144t gives the height, in feet, of a toy rocket t seconds after it was launched up into the air. How long will it take for the rocket to return to the ground? Solve the quadratic equation -16t^2 + 144t = 0 using the quadratic formula.
A wire is used to anchor a 20-foot-tall pole. One end of the wire is attached to the top of the pole. The other end is fastened to a stake two feet away from the bottom of the pole. Find the length of the wire.
A simple guitar is made of a string which can be lengthened or shortened. How does increasing the length of the guitar string change the natural frequency and speed of waves on the guitar string? The natural frequency and wave speed both decrease
c. If you start skating down this hill, your potential energy will be converted to kinetic energy. At th bottom of the hill, your kinetic energy will be equal to your potential energy at the top. What will be your speed at the bottom of the hill?
You and your best friend start from the same point and run around a circular stadium, whose radius is 2500 feet, at the speed of 1100 feet and 800 feet per minute respectively, in the opposite directions. How many minutes will it take you to meet your friend?
Text: (PHYSICS DRILL - Conservation of Energy) / (KEâ‚ + PEâ‚) = KEâ‚ + PEâ‚ A skier starts from rest at the top of a 45m hill. She skis down an incline into a valley. She then continues up a 40m hill. Both hill heights are measured from the valley floor. How fast is the skier…
The text is given by h(t) = -4.9t^2 + 214t + 143. Assuming that the rocket will splash down into the ocean, at what time does splashdown occur? The rocket splashes down after seconds. How high above sea level does the rocket get at its peak? The rocket peaks at meters above sea level.
The equation shown is used to find the force of gravity, F, between two objects, where G is the gravitational constant. mâ‚ and mâ‚‚ are the masses of the two objects, and r is the distance between the two objects. F = (G * mâ‚ * mâ‚‚) / (r²) Which equation correctly shows the distance…
When substances which normally crystallize in the bcc or diamond structures are subjected to very high hydrostatic pressure, a phase transition to an fcc structure sometimes occurs. Can you suggest a qualitative physical explanation for this fact?
can someone please explain to me what the single-slit diffraction is and why it happens? thanks!
Underneath a car, there are 4 springs that act to cushion the passengers when a car hits a bump. For this problem, we will assume the 4 springs act as a single spring with a spring constant of 6.5 x 10^4 N/m. A family of 4 people with a total mass of 200 kg is riding along and the car (mass of…
A monoatomic ideal gas starts at P initial volume initial and temperature initial it undergoes a newly invented thermodynamic expansion process where pressure times volume squared is a constant PV^2= Constant this process expands the gas to a larger volume vf1 sketch a plot2 how much work does…
Consider a photon with energy 1.05 eV. a) What is its wavelength in nanometers? b) What is its frequency in hertz? c) What type of electromagnetic radiation is it?
A 1500 kg car has the same momentum as a 2500 kg truck, moving at 15 m/s. How fast is the car moving in m/s? You should NOT include any units with your answer; just the number. Make sure your answer is accurate to at least 3 significant digits, as you will be graded on your accuracy.…
A 1750 kg Indy car with a speed of 34 m/s goes around a level, circular track with a radius 1.5 km. What is the centripetal acceleration of the car? 2. What is the centripetal force of the Indy car from question #1
You want to go around the merry-go-round 3.5 times. If the merry-go-round has a 5.0 m radius, how far did you travel? 2. A 1750 kg Indy car with a speed of 34 m/s goes around a level, circular track with a radius 1.5 km. What is the centripetal acceleration of the car?
The zero level of the gravitational potential energy of a body near the surface of the Earth is located at:
Methane is classified as a greenhouse gas. Describe what is meant by a greenhouse gas.
A huge (a sled) contains two athletes, and has a total mass of 225 kg, including the mass of the athletes. It starts at the top of a mountain, with an 900 m elevation, and travels a distance of 2000 m along a straight track, before reaching the bottom of the hill. The magnitude of the work, in…
Dr. Evil and Dr. Strange are flying in their rockets. Dr. Evil flies away from Dr. Strange at 3.60x10^5 m/s. Dr. Strange flies toward Dr. Evil at 5.50x10^5 m/s. What is their relative velocity?
The index of refraction of water is 1.33. The speed of light in an unknown material is 1.95x10^8 m/s. If a light ray in water has an incident angle of 31.6° and strikes a surface of the unknown material, what is the refracted angle in the unknown material?
How fast is an ambulance going if it emits a sound of frequency 1500 Hz and it makes 2000 revolutions per kilometer?
In a single-slit interference experiment, a laser passes through an opening of 47.0 μm. The pattern forms on a screen that is 2.40 m from the slit. The eleventh dark fringe is 36.0 cm from the center of the central bright fringe. What is the angular position of this dark fringe and what is the…
Let p denote the object-lens distance and q the image-lens distance. The image produced by a lens of focal length f has a height that can be obtained from the object height by multiplying it by: a) p/q b) q/p c) f/p d) f/q e) q/f
The tensile stress on a concrete block is 0.652 x 109 N/m2 . What is its tensile strain under this force? Young's modulus of concrete is 20.2 x 109 N/m2.
A car, with a mass of 1000 kg, is moving in a circle of 25 m radius, and at a constant speed of 12 m/s. What is the magnitude of the centripetal acceleration, acting on the car in Select closest answer.
Which is true of the autocratic theory? Answer choices: A. The majority determines the direction of the administrative position. This is a much slower process in which leadership aids in keeping groups from becoming bogged down. B. There is very little guidance in this philosophy. This is the…
Consider a conducting wire made of copper. Copper has a carrier density of 8.5x10^28 carriers/m^3 and an electrical resistivity of 1.7x10^-8 ohms*m and a charge of 1e/carrier. If a potential difference of 12V is applied between the ends of a copper wire that is 100m long and 1.0mm in diameter,…
A 58.1 kg astronaut is doing a repair in space on the orbiting space station. She throws a 1.9 kg tool away from her at 21.5 m/s in the direction that is directly away from the station. What is her velocity after throwing the tool?
Object O stands on the central axis of a convex mirror. An object is located 43.7 cm in front of the mirror. The distance between the focal point and the mirror is 12.8 cm. What is the radius of curvature r (including sign) for this mirror? What is the image distance i? Also determine whether…
A circular coil enclosing an area of 0.3 m2 is made of 200 turns of wire. The wire making up the coil has a resistance of 5.0 Ω , and the ends of the wire are connected to form a closed circuit. Initially, a 0.75 T magnetic field points perpendicularly upward through the plane of the coil. …
Transcranial magnetic stimulation (TMS) is a noninvasive technique used to stimulate regions of the human brain. A small coil is placed on the scalp, and a brief burst of current in the coil produced a rapidly changing magnetic field in the brain. The induced emf can be sufficient to stimulate…
A bolt of lightning passes 25 m from a 300-turn coil as shown in the picture. The lightning bolt carries 15 C of charge in 1.2x10^-3 s. Find the current carried by the lightning bolt. Find the magnetic field created by the lightning bolt 25 m away. Assuming the magnetic field goes from 0 to its…
A student connects two bulbs in parallel on a 1.5 V battery. One bulb is rated as 4 W for a nominal voltage 1.5 V and the second one is rated for 6 W at 3 V nominal voltage. What is the nominal resistance of each bulb? Which of the two bulbs appears to be brighter? Please show all calculations
A bolt gun contains a spring of spring constant k = 17 N/m, which is used to fire a bolt of mass m. The bolt leaves the gun at a speed of v = 6.4 m/s after the spring is compressed 1 cm. The height (h) is 2 meters, the final velocity is 8.952 m/s, the gravitational force (Fg) is 4.067 x 10^-4.…
An object has a kinetic energy of 323 J and a momentum of magnitude 26.5 kg · m/s.(a) Find the speed of the object. ____ m/s(b) Find the mass of the object.____ kg
a flat pan container holds 200g of water. if over a 10 min period, 1.5 g of water evaporates from the surface, what is the approximate temperature change of the remaining water
A 4.58 cm tall object is placed 28.8 cm in front of the vertex of a concave spherical mirror with a radius of curvature of magnitude 28.3 cm. Determine the magnitude of the image height in cm.
if J is 57cm, k is 12, and I is 55cm, what's the measure angle for L
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Please help me with these questions. A ball is thrown straight up at a speed of 5 m/s. Because of gravity, the ball will eventually slow down, stop, and fall back down. The law of gravity says that the acceleration due to gravity is -9.8 m/s^2. Let h(t) be the height of the ball t seconds after…
The radius of the Earth is 6,378 km and the Earth's crust has an average thickness of 38 km. Assume the average density of the Earth's crust is 3 g/cm3. How much mass is in the Earth's crust in kg?
you know what else isnt nice charging me to show my steps
What was the man's average speed (rate ) between 77 s and 169 s?
Light of wavelength 632.8 nm falls on a single 0.0666 mm wide slit. (a) On a very large and distant screen, how many dark bands are there in total? (b) At what angle is the highest order dark band seen?
Solving a two-step equation with integers. Solve for v: 4v + 3 = -17. Simplify your answer as much as possible.
How do you find the time it takes for a ball to hit the ground in a vertical motion question?
If an angle turned through (75)/(360) of a circle, what would be the measurement, in degrees, of the remaining angle of the circle?
rita watered 12 plants. Every pant got (2)/(9) gallons of water. how much water did she use in all?
An object rolls without slipping along a horizontal surface. What percentage of its total kinetic energy is rotational kinetic energy?
The angle mA is complementary to the angle mB. The angle mC is complementary to the angle mB. If angle mA = 62, what is the angle mD and the angle mE?
1. Magnet A has twice the magnetic field strength of mag-net B (at equal distance) and, at a certain distance, it pulls on magnet B with a force of 50 N. How much force does magnet B pull on magnet A? 2. A straight current-carrying wire is horizontal and oriented south to north. When a…
as an object moves away from a plane mirror on a wall and you observe the object and the image from the position of the mirror, the image of the object: A) gets smaller B) may or may not get smaller, depending on where the observed is positioned C) is always a real image, no matter how far you…
Kate is taking part in jumping drills at the start of the basketball season to measure her maximum vertical jump height. She is performing non-counter movement jumps from a force platform which enables her vertical ground reaction forces to be recorded. She has a mass of 73 kg. For a particular…
b. If the player exerted a 9.00-N force, but the stick was in contact with the puck for only half the distance (0.075m), how much work does the stick do on the puck?
If two trains are 200 miles apart and one train is going at a speed of 75 mph and the other train is coming in the other direction at a speed of 45 mph, how long before the trains collide?
Amber stands 6 feet tall. The distance from the top of Amber's head to the end of her shadow is 15 feet. What is the length of Amber's shadow? Round your answer to the nearest foot.
Global warming and changing weather patterns are affecting the water supply for one of the world's most important waterways, the Panama Canal, as well as access to drinking water for millions of Panamanians
Kamal puts $500 in a savings aceount that earns simple interest. The interest rate is 5%. How long will it take Kamal to earn $500 in interest from this account if he makes no other deposit or withdrawal? A 100 years B 25 years C 20 years D y years
Frank, Margaret, and Paula collect rocks. Frank has 10 rocks. Margaret has 7 more rocks than Frank. Paula has 4 times as many rocks as Margaret. How many rocks do Frank, Margaret, and Paula have altogether?
how with the reason is curve regarding its (delta w) width change if we increase the resistance of the circuit? A driven oscillation circuit using a bread board.
A 33.0 cm long spring is hung vertically from a ceiling and stretches to 37.9 cm when a 7.00 kg mass is hung from its free end.
A hydrogen atom has an electron that is excited to the fourth orbital (n=4). What is the energy that must be gained in order for this to occur? If the electron then drops back down to ground state (n=1) in one step, then this same amount of energy will be emitted as a photon. What is the colour…
How do you convert a pressure in millimeters of mercury (mm Hg) to Pascals (Pa)?
What does it mean to measure a pressure in millimeters of mercury (mm Hg)?
In which type of collision is no kinetic energy lost? A. A perfectly elastic collision B. A perfectly inelastic collision C. A partially inelastic collision D. Energy is always conserved. Explain.
The normal tendency of positive charges is to A. move to regions of higher electric potential B. move to regions of lower electric potential C. remain stationary in electric field D. move perpendicularly to electric field lines. Explain.
Calculate the heat transfer rate from 1000 ft², 6 in. thick concrete wall with inside and outside surface temperatures of 20°C and 0°C. Convert the area and wall thickness to meters first, and provide the answer in Watts. (Please provide a simple picture/drawing)
A transformer used for rechargeable flashlight batteries has 500 turns on its primary and 4 turns on its secondary. It's plugged into a standard 120 V outlet (primary) What is the voltage on the secondary? What primary current is required to produce a 4.00 A output (secondary)?
Problem 3: You have a spring with a spring constant 4330 N/m. How far, in centimeters, would you have to compress this spring to store this energy? Numeric : A numeric value is expected and not an expression. Δx=
If you apply 200 lb. of force to a piston that has a surface area of 1 square inch, how much pressure will be created? If you apply 200 lb. of force to a piston that has a surface area of 2 square inches, how much pressure will be created? If you apply 50 lb. of force to a piston that has a…
Which is true about the energy levels of a two-dimensional infinite potential well? a) Two energies might have the same quantum state. b) Two quantum states might have the same energy. c) Some quantum states are empty because they are forbidden. d) Some energy levels are empty because they are…
How much energy does it take to raise 409 grams of water 10.0 degrees Celsius, if the specific heat of water is 4.184 J/g°C?
Determine the force a positive ion and a negative ion exert on each other if they are separated
A sinusoidal wave has period 0.10 s and wavelength 2.5 m. what is the wave speed
underneath a car, there are 4 springs that act to cushion the passengers when a car hits a bump. For this problem, we will assume the 4 springs act as a single spring with a spring constant of 6.5 x 10^4 N/m. A family of 4 people with a total mass of 200 kg is riding along and the car (mass of…
A 4 kg box, pulled by a rope, is accelerated at 1.6 m/s^2 horizontally across a floor. Assuming μk = 0.50 between the box and the floor, find the tension in the rope. An air freshener is hanging from a string on the rear-view mirror of a taxi. As the vehicle's speed increases with constant…
X-ray photons that have a wavelength of 0.490 nm are scattered off carbon atoms (which possess essentially stationary electrons in their valence shells). - What is the kinetic energy K2 of the scattered electrons if the photons are scattered at an angle of 60.0°? - What is the kinetic energy…
a solid sphere of mass 1.0 kg and radius of 0.2 m starts from rest and rolls without slipping down a 10.0 m high inclined plane what is the speed of the sphere when it reaches the bottom of the incline plane
state of mass 15.8 kg move with a speed equal to 0.232 m/s on a horizontal surface then it is pushed in the direction of motion with constant force for next 1.45 m Final speed is equal to 0.335 m/s calculate A) find the work done by the force B) the magnitude of the force
A car of mass 1475 kg drives on the flat road. The force of the friction equals 5.42*10^3 N. What should be the force to push the car forward if we want to drive the car east with a speed of 10.5 m/s that doesn't change with time?
Consider an object fully immersed in water the buoyant force on it equals to 2.14 N calculate the volume of the displays water
Consider a person of mass 70.2 kg , and a deck of mass 12.8 kg How close they have to be in order for their gravitational attraction to be equal to the weight of the person
The weight of an astronaut on the moon, where the acceleration due to gravity equals 1.62 m/s^2, is 114 N. The same astronaut weighs 262 N on Mars. What is the acceleration of gravity on Mars?
The gold car and blue car are initially at rest. At t = 0, the gold car is at x = 0 and begins to accelerate at +4 m/s^2 while the blue car is at x = 25 m and begins to accelerate at +2 m/s^2. Calculate the x-coordinate where the gold car will pass the blue car. Take as point objects that are…
You need to use a 21- cm -focal-length lens to produce an inverted image half the height of an object. At what distance from the object should the lens be placed?
John pushes a door at a point 0.75 m from the hinges with a 240 N force directed 20° away from being perpendicular to the door. There's a natural pivot point, the hinges. What maximum torque could he exert with this force? A. 240.0 Nm B. 180.0 Nm C. 169.0 Nm D. 61.5 Nm E. Zero
A 3-kg metal beam extends from a wall at an angle of 20° from the horizontal. If its center of gravity is 1.6 m from the point where the beam is attached to the wall. What is the torque on the beam about the point of attachment? A. 16.1 Nm B. 44.2 Nm C. 29.4 Nm D. 37.6 Nm E. 47.0 Nm
Consider two long, straight wires, parallel to the z-axis, spaced a distance d apart and carrying currents I in opposite directions. Describe the magnetic field H in terms of a magnetic scalar potential ΦM, with H = -∇ΦM.
A small statuette sits at a distance of 2.0 cm from a converging lens with a focal length of 24.9 cm. Determine the magnification of the object's image.
Davisson and Germer performed their experiment with a nickel target for several electron bombarding energies. At what angles would they find diffraction, arc 2.1 cm, 2.3 cm, and 3.2 cm (b) What is the lattice-plane spacing corresponding to each of the three rings? Thank you.
Please answer all questions… 1. A 1209 kg car accelerates from 16 m/s to 55 m/s in 6.0 seconds. Calculate the force it takes to cause this acceleration. 2. A 800 kg car experiences a change in momentum of 382 kg·m/s over a time interval of 5.44 seconds. What is the force on the vehicle…
1. For a mass ð‘š attached to a spring with the strength described by spring constant ð‘˜, what is the angular frequency of a driving force that will set up the largest forced oscillations? (Express your answer in terms of ð‘š and ð‘˜) 2. Suppose the angular frequency ðœ”ð‘‘ of a…
A vat of 12.0 kg of molten copper at its boiling point of 1083°C is placed in a room with dimensions 3.00 m by 9.00 m by 3.00 m with an initial temperature of 20.0°C. A) If air has a specific heat of 1006 J/(kg °C) and a density of 1.204 kg/m³, what is the air temperature once the copper…
a) aircraft at altitude 150 hPa and temperature -60 C. cabin pressure is 700 hPa. What is the resulting air temperature?b) Also, air is isobarically heated to cabin temp of 20 C. what is the heat per kg of air needed to complete this part? Please show all work and explain all steps. This is…
A light beam traveling in air makes an angle θi with respect to an air-plastic interface. After it enters a rectangular block of plastic, it travels at an angle of of θr with respect to the normal. Write an equation for the index of refraction of the plastic in terms of the given variables.…
A 1.49 cm tall object is placed 24.5 cm in front of the vertex of a concave spherical mirror with a radius of curvature of magnitude 19.7 cm. Determine the magnitude of the image height in cm.
An object is placed 33.3 cm in front of the vertex of a concave spherical mirror with a radius of curvature of magnitude 37.1 cm. Determine the image distance in cm from the vertex.
A train traveling with an initial velocity of 207 km/h slows to a stop after traveling a distance of 4826 m. What is the magnitude of the net force exerted by the engine to stop the train if its mass is 817,388 kg (e+5=10^5)? Give your answer in scientific notation, for example 7.53e+5.
Find the force in Newtons that causes an acceleration of 6.15 m/s2 to an object of mass 0.552 kg.
A non-Newtonian fluid that obeys the Herschel-Bulkley model is found in a cylindrical tube of length L and radius R. The tube is in a vertical position and at the bottom there is a plate that perfectly covers the tube outlet. When removing the plate, the liquid may or may not come out due to…
A force of 43.5 N is applied to a 2.07 kg puck. What is the acceleration of the puck in m/s2?
From the wavelength "λ" and speed "v" values in steps 5 and 6, calculate the frequency of the Perseus wave using the formula f = v / λ. Write your answer here:
A photon with a wavelength λ = 0.1385 nm scatters from an electron that is initially at rest. The electron moves with a non-relativistic speed of 8.90 x 10^6 m/s immediately after the collision. a) What is the energy of the photon prior to the collision and after the collision? b) A detailed…
Laser light sent through a double slit produces an interference pattern on a screen 2.99 m from the slits. If the m = 2 maximum occurs at an angle of 10.61°, at what angle does the m = 8 maximum occur?
the relation between the number of photons and the applied voltage
part 1 - A 0.145- kg baseball traveling 35.50 m/s is stopped in 0.183 s by a catcher's mitt. What is the average acceleration of the ball? part 2 - What is the average force on the catcher's mitt?
Which is true about the energy levels of a one-dimensional, infinite potential well? a) They are proportional to the well width L b) They are proportional to the square of well width L c) They are inversely proportional to the square of the well width L d) They are inversely proportional to…
Many dielectric materials, whose equation of state at temperatures above about is given as p/v = (c + d/T)E. (a) Calculate (dE/dT) at a constant pressure, (b) Calculate (dp/dT) at a constant E.
If the temperature and mass of a 15 L sample of gas are held constant while its absolute pressure increases from 200 to 600 kPa, what will be its new volume? What will be the final gauge pressure?
Two resistors are connected in parallel with a battery. If R2 has twice the resistance of R1, then what can be known about the power dissipated in the resistors? A. R1 dissipates half the power of R2. B. They dissipate the same amount of power since they have the same voltage. C. R1 dissipates…
What frequency is received by a person watching an oncoming ambulance moving at 116 km/h and emitting a steady 811 Hz sound from its siren? The speed of sound on this day is 349 m/s.
In this lab, a mass (m) on the floor is going to be lifted up to a height (h), and then lowered back down again to the floor. What is the total change in gravitational potential energy of the mass during this process? Briefly explain your answer. I know that potential energy = mass x gravity x…
A 200-gram ball is dropped from a height of 2.5 meters. a. How fast is the ball moving when it hits the ground? b. If the ball loses 20% of its speed in the impact, how fast is the ball moving after impact? c. The collision takes 0.03 seconds, how much force does the ball experience?
How fast would you have to throw a softball (200 grams) in order to stop a 2700-kg truck that is rolling at 5 mph (2.2 m/s), if the ball gets stuck in the truck upon impact?
How much energy does it take to raise the temperature of 1 liter of water 20 degrees Celsius, assuming it doesn't boil? (In Calories) The mass of 1L of water is 1kg. Same situation as before, but what if it's ice instead of water? The mass of 1L of ice is 0.918 kg. Assume the ice never melts.
A wind turbine is started from rest in a steady wind. The turbine has three long thin rotor blades attached to a rotor at the center. Each individual blade has a length of 63.5 m from tip to the point of rotation and a mass of 1.2 x 10^4 kg. a. Treating the blades as long thin rods, determine…
A horizontal pipe has water flowing in it. The diameter of the pipe is 6.00 cm and the speed of the water through it is 2.50 m/s. The pressure of the water is 3.0 x 10^5 N/m^2. After some distance, the diameter reduces to 4.00 cm. A) Calculate the speed of the water in this narrower section. B)…
A wire has a length of L and area of cross-section A. Its resistance is R. It is pulled so that its length is doubled, and as a result its area of cross-section is halved. (That is, it becomes longer and thinner). This is because its volume remains constant. (just like when you pull chewing…
a solenoid with n turns has a radius of 0.040 m and is 40 cm long. this solenoid carries a current of 12 a, and the magnitude of the magnetic field near the center of the solenoid is 0.0150 t. a) how many turns does this solenoid have? b) an iron core of y = 5,000 is inserted into the solenoid.…
A 1 kg physics textbook sliding on a carpet is attached to one end of a horizontal spring (k = 200 N/m) which has its other end fixed. If the book is displaced 24 cm horizontally from the equilibrium position and released from rest, the book first reaches the equilibrium position with a speed…
Ultrasound of intensity 151 W/m ^2 is produced by the rectangular head of a medical imaging device measuring 3.07 by 5.19 cm. What is its power output?
A wheel balancing machine is turned on at time t=0.00 s. After 15.0 s, the wheel is measured to be 20.0 rad/s. The mass of the wheel is 8.00 kg, and assume that it is a disk of diameter 6.00 cm and width 20.0 cm, and is spinning about its axis. Calculate the torque that was applied by the…
A 6.79 mm high pushpin sits upright in front of a converging lens at a distance of 35.6 cm. If the magnitude of the height of the inverted image is 2.33 mm, what is the focal length of the lens in cm?
A concave spherical mirror has a radius of curvature of 26.8 cm. If a REAL image of an object appears 40.1 cm from the vertex of the mirror, how far (in cm) is the object from the vertex? A small statuette sits at a distance of 3.9 cm from a converging lens with a focal length of 28.6 cm.…
A gadfly has velocity v → = 4.5 i ^ + -3.8 j ^ + 1.6 k ^ m / s and position r → = 4.1 i ^ + 0.1 j ^ + 5 k ^ m . What is the magnitude of its angular momentum about the origin if its mass is 1.09 kg? [Hint: Remember that L → = r → × p → .]
A 1.73 cm tall object is placed 25.7 cm in front of the vertex of a concave spherical mirror with a radius of curvature of magnitude 30.0 cm. Determine the magnitude of the image height in cm.
An object is placed 36.6 cm in front of the vertex of a concave spherical mirror with a radius of curvature of magnitude 29.4 cm. Determine the image distance in cm from the vertex.
Which of these statements are true? Pick all that apply. 1The speed of light is the same seen by any observer anywhere in the universe 2The speed of light is approximately 299,792,458 m/s and is uncertain to about 1 m/s 3The speed of light is exactly 299,792,458 m/s 4If you are driving along…
How much momentum must an electron lose to change from a speed of 0.9980c as it enters an electric field region to a speed of 0.5000c? The mass of the electron is 9.11 x 10^-31 kg. The correct answer is 4.2 x 10^-21 kg·m/s, but I am unsure how to solve the problem.
If you are on an interstellar journey riding on a rocket going at 99% light speed relative to Earth, you would definitely notice: a. None of the above effects occurs. b. Your mass is much less than when at rest on Earth. c. Your mass is much greater than when at rest on Earth. d. Your physical…
A metal advertising sign (weight w) is suspended from the end of a massless rod of length L. The rod is supported at one end by a hinge at point P and at the other end by a cable at an angle from the horizontal. Rank the following forces in order of their magnitude, from largest to smallest. A.…
If the distance across a town in one direction is 12.5 miles according to Google Maps, how fast, relative to Earth, would you have to fly for this same distance to appear only 6.50 miles? The answer is 0.854c, but I am unsure how.
When a soap bubble in air is illuminated at normal incidence by a monochromatic 463 nm light source, the reflection is especially bright. If the index of refraction of the soap bubble is 1.35, what is the minimum thickness of the bubble film? a. 171 nm (wrong) b. 21.4 nm c. 343 nm d. 42.8…
To tighten a bolt, a force of 20 N is applied straight down using a wrench that is 20 cm long. The radius of the bolt is 1 cm. What is the average torque exerted? *The radius should be the distance from the center of the bolt to the end of the wrench.
In Special Relativity, we say that "moving clocks run slow". This means that any process used to keep time will appear to happen more slowly in a moving object when seen by an observer not moving with the object. It is not possible to have events that are simultaneously occurring as seen by all…
A figure is 1.7 mm tall and positioned 25 cm from the center of a convex mirror. The radius of curvature of the mirror has a magnitude of 73 cm. What is the height of the image? Answer in units of mm or cm, please.
A UV laser with a wavelength of 260 nm shines through two identical slits. The interference pattern seen on a screen 4.6 m away shows adjacent bright fringes 4.0 mm apart. What is the distance between the centers of the two slits? Answer in units of mm, please.
A bright light source is positioned 10.0 m below the top surface of a large, deep, clear lake, shining in all directions. What is the diameter of the circle of light seen by someone looking down from above (in air, viewing light coming from the water below)? The index of refraction of water is…
While Special Relativity seems like the physics of the extreme, it has many consequences that we do experience. The following are all true statements. Select from them the three that need the ideas of General Relativity as well as Special Relativity to explain. That magnetic forces are really…
Two spacecraft from opposite directions are traveling toward each other along a straight line at a constant relative velocity of 0.9606c, as measured by Captain Picard on one of the spacecraft. While on Earth, you measure the speed of one of the ships as 0.8000c. From your point of view at rest…
What would be the best way to open a door if the same force is applied in all the choices? A) Very close to the hinges of the door. B) In the middle point of the door. C) As far as possible from the hinges.
A smoke detector consists of two plates with potentials Va = (8.000x10^0) volts and Vb = (-9.00x10^0) volts, respectively. A stationary smoke particle with charge q = (7.5x10^-17) C and mass m = (4.110x10^-25) kg is located at the plate Va. Use the Principle of Conservation of Energy to…
A small mass m = 50g is spun around at the end of a string of length L = 2.0 m. Neglect gravity. (a) If the tangential velocity is 4.0 m/s, what is the tension force in the string? (b) What is the period of revolution of the mass?
Determine the local sidereal time at an observatory if Betelgeuse, which has a right ascension of 5h 55m, is due to cross the observer's meridian 2.5 sidereal hours later.
A 1700 kg compact car initially traveling south at 70 km/h collides at an intersection with a 2500 kg SUV initially traveling west. The car and the SUV stick together after the collision and slide in a direction [S 70° W] after the collision. a) Draw a sketch of this sequence of events that…
A circular loop is centered on the origin in the xy plane, immersed in a magnetic field B = -B0 ˆz. The loop is made from wire having cross-sectional area A and electrical conductivity σ. In order to maintain a constant current I0, oriented in the ˆφ direction, find the loop's radius, r(t),…
A uniform ball rolls on a rough plane inclined at angle to the horizontal. Show that the component of perpendicular to the plane is conserved. If the ball rolls on the plane, show that the path of the ball is parabolic.
Which THREE of the following statements correspond to Newton's Laws of Motion? An external force on an object will accelerate that object provided the external force is larger than the weight force of the object. Forces come in symmetric pairs - equal in magnitude, opposite in direction. An…
60 m/s at 30 degrees and the constant acceleration is 10 m/s^2 at 40 degrees, what is the final velocity after 10 seconds with this acceleration? (b) What is the displacement after 10 seconds?
As mentioned in exercise 14-1, the speed of sound in air is approximately 343 m/sec. What is the wave length of a sound wave with a frequency of 132 Hz?
Calculate the reactance in ohms of a (7.30x10^-6) F capacitor in an AC circuit oscillating at a frequency of (7.0x10^5) Hz.
What is the rest energy of an alpha particle in MeV/c2
The atomic mass of Cl 35 17 is 34.96885. (a) What is its binding energy? (b) What is its binding per nucleon?
A rock is thrown 10 m/s at an angle 30 degrees, near the surface of earth, what is the maximum height the rock can reach? (b) How much time does the rock spend in the air? (c) What is the rock's horizontal displacement before it hits the ground?
Comment on the accuracy of your experimental value for the acceleration due to gravity g.
Evaluate the object or image distance and its associated sign using the mirror equation. (cont.) The problem states that the person stands 9.05 m in front of the mirror, so p = 9.05 m. The unknown quantity to be determined in part (b) is the image distance q. The sign associated with q is…
60 m/s at 30 degrees and the constant acceleration is 10 m/s^2 at 40 degrees, what is the final velocity after 10 seconds with this acceleration? (b) What is the displacement after 10 seconds?
A rock dropped from a cliff takes 8 seconds to hit the ground, what is the height of the cliff? (b) What is the final velocity of the rock before hitting the ground?
i) Estimate the mechanical work an apple tree needs to do between winter and autumn to grow all the apples and leaves. Neglect the molecular level efforts and mind only the work needed to lift all the required material up the branches. ii) Estimate how much the growth of the leaves and apples…
i) Estimate the mechanical work an apple tree needs to do between winter and autumn to grow all the apples and leaves. Neglect the molecular level efforts and mind only the work needed to lift all the required material up the branches. ii) Estimate how much the growth of the leaves and apples…
i) A large cylindrical tank contains 0.760 m^3 of nitrogen gas at 25.0 °C and 8150 Pa (absolute pressure). The tank has a tight-fitting piston that allows the volume to be changed. Calculate the pressure in the tank if the volume is decreased to 0.490 m^3 and the temperature is increased to…
3. i) An object is undergoing SHM with period 0.730 s and amplitude 0.320 m. At t = 0, the object is at x = 0.320 m and is instantaneously at rest. Calculate the time it takes the object to go from x = 0.320 m, to x = 0.160 m. Calculate the time it takes the object to go from x = 0.160 m, to x…
A sun-like star is barely visible to naked-eye observers on Earth when it is a distance of 7.0 light years, or 6.6×10^16 m, away. The sun emits a power of 3.8×10^26 W. Using this information, at what distance would a candle that emits a power of 0.26 W just be visible? 2. Corrected_text: A…
In a region where the electric field is uniform and points in the +x direction, the electric potential is -1600 V at x = 7 m and is +400 V at x = 3 m. What is the magnitude of the electric field?
i) A lamp hangs vertically from a cord in a descending elevator that decelerates at 1.6 m/s^2. Calculate the lamp's mass if the tension in the cord is 60 N. Calculate the cord's tension when the elevator ascends with an upward acceleration of 2.4 m/s^2. ii) A box of canned goods slides down…
1. i) The radius of Mercury's orbit around the sun (assumed to be circular) is 5.79 × 107km, and it travels around this orbit in 88 days. Calculate the magnitude of the orbital velocity of Mercury in m/s? Calculate its centripetal acceleration. ii) Firemen are shooting a stream of water at a…
Part (b): Calculate the moment of inertia of the skater with their arms extended. Assume the body is a cylinder of the same size as in part (a), and the arms are 57.5 cm long rods extending straight out from the outside edge of the cylinder (NOT from the centerline of the cylinder). Part (c):…
In a typical thunderstorm the electric field is about 105 V/m and a flash of lighting transfers 30 C across a potential difference of 30 MV. Considering the thundercloud to be cylindrical with a diameter of 20 km and a height of 10 km and assuming that and that each flash occurs every five…
Calculate the photon energy and wavelength for a transition from n = 5 to n = 2 in the hydrogen atom. E_p = Answer eV lambda = Answer nm
A point particle of mass 4 kg is located at position r1 = 2i - j. A second point particle of mass 1 kg is located at position r2 = i - 4j. Compute the center of mass of the two particles.
Jim pushes a 45kg shopping cart at the end of his shopping trip. He is rushing out of the store and accelerating at 5 m/s2 . There is no friction. Which of the following are true statements?
Calculate the energy of a photon with a wavelength of 78 nm. Give your answer in eV to 3 decimals. A photon has a wavelength of 487 nm. What is the energy of the photon (in units of 10^-19 Joules)? The wings of a certain beetle have a series of parallel lines across them. When normally incident…
A turn of radius 94 m is being designed for a speed of 25.0 m/s. At what angle should the turn be banked so that a car can make the turn with zero friction?
A 12-kg box slides down a frictionless ramp that makes a 15 deg angle with the horizontal. If the box slides a distance of 2.1 m along the ramp's surface, how much work is done by gravity during this motion? Give your answer as a numerical value in Joules.
An insect (a beetle) is on an LP record. A student other than yourself might want to "Let it Be"; but you want it off your record. The bug is at a distance of 29 cm from the center. The mass of the bug is 0.80 grams with a friction coefficient of μ = 0.14. What frequency do you need to set…
Light of wavelength 677 nm falls on two slits and produces an interference pattern in which the fourth-order fringe is 97.6 mm from the central fringe on a screen 1.57 m away. What is the separation of the two slits - in micrometres to 3 decimals? The first-order line of 380 nm light falling on…
Assume you have a 10 cm long aquarium where the temperature is set at x = 0 cm to 3 degrees Celsius and is set at x = 10 cm to 15 degrees Celsius. The top and bottom are insulated. What will be the temperature at x = 7 cm after a long time such that there is no more net heat diffusion?
A 50-kW radio transmitter operates at a frequency of 1.0 MHz. How many photons does it emit each second?
A person of mass 68000 g stands on a scale that measures in Newtons while in an elevator. If the elevator is accelerating upwards at a rate of 4.7 m/s2, what is the reading on the scale?
A plane is flying at 255 km/h [E 41º S] relative to the air when the wind velocity is 55.0 km/h [E 80º N]. Calculate the speed of the plane relative to the ground in km/h.
A block with a mass of 0.30 kg is attached to a horizontal spring. The block is pulled back from its equilibrium position until the spring exerts a force of 1.0 N on the block. When the block is released, it oscillates with a frequency of 1.5 Hz. How far was the block pulled back before being…
A soccer player kicks the ball in a parabolic path. The ball leaves the player's foot with a speed of 32.0 m/s, making an angle of 40.0º with the horizontal. At what distance from the soccer player does the ball reach its maximum height (use g = 9.81 m/s2 [down])?
A proton whose kinetic energy is 12.5 keV is rotating in a plane perpendicular to a uniform magnetic field. The radius of its orbit is 20 cm. a. What is the period of motion of this proton? b. What is the modulus of the magnetic force acting on this proton? c. What is the modulus of the…
A laser beam is shone through a grating and a first-order maximum is produced at an angle of 9.2°. At what angle is the third-order maximum produced?
Consider the following scenario: particle A, with a charge of 5 nC, is placed 25 cm away from particle B, which has a charge of 10 nC. What is the magnitude of the electric field at the location of particle A?
A spherical balloon with a radius of 10 cm, filled with helium gas, is tied to a rope tied to the floor of the room. The density of air is 1.0 kg/m3 . and the average density of the gas-filled balloons equal to 0.050 kilograms per cubic meter a.) Find the magnitude of the buoyant force acting…
if an unfocused disc shaped is 8mm in diameter what is the qualitative width of the beam diameter at 8mm in relationship to the diameter of thr crystal?
If an unfocused disc shape is 8mm in diameter, what is the width of the beam diameter at 2 times the Fresnel zone length?
During the spring semester at MIT, residents of the parallel buildings of the East Campus dorms battle one another with large catapults that are made with surgical hose mounted on a window frame. A balloon filled with dyed water is placed in a pouch attached to the hose, which is then stretched…
π – Ms. Ceres pulls a 100 kg sled with a force of 1 000 N [South 30o Up] along a flat snowy pathway with a coefficient of friction of 0.200. The sled is attached to her friend Mr. Eris whom is skiing and masses 50 kg. a) Determine the acceleration of the sled and wagon and the time it will take…
Consider a particle of mass m in a simple harmonic oscillator potential V (x) = 1 2 kx2 . Use the uncertainty principle to estimate the minimum energy of the particle in this potential. Make a reasonable assumption on the position uncertainty
On the local car dealer's lot, there are only 25 cars with power windows and only 17 cars with heated seats. The number of cars on the lot with both power windows and heated seats must be:
(MAL 2.B.25) An eyeglasses manufacturer would like to estimate the proportion of all adults in the United States who wear glasses that are farsighted. Which group should be sampled in order to provide the best estimate for this proportion?
A sound wave with a wavelength of 0.82m passes through air, and then it passes through a glass window, where its wavelength changes to 13m. If the sound wave has a constant frequency of 440Hz, what is its approximate speed as it passes through the glass
You invest money into an account that compounds the interest continuously. If you initially invest $5,000 and the interest rate is 1.2%, how long will it take for the amount in the account to reach $7,500 ? Show all of your work.
Two buses leave a station at the same time and travel in opposite directions. One bus travels 12 (mi)/(h) faster than the other. If the two buses are 560 miles apart after 4 hours, what is the rate of each bus?
An old lady is sitting on her porch, which is 3 meters away from the sidewalk, watching someone who is walking along the sidewalk at a speed of 1.5( m)/(s). How fast is she revolving her head when the person has passed her by 4 meters?
A ball that falls with an initial velocity v₀ = 10 (m/s) will travel a distance of I m in 3 seconds. Assume that the acceleration of gravity is 9.8 (m/s²). Round the final answer to two decimal places. Need help? Review these concept resources.
Amika is preheating her oven before using it to bake. Tamika wants to predict the oven temperature after x minutes. She wrote the equation y = 45x + 67, where y represents the final temperature in degrees Fahrenheit. What could the number 67 in Amika's equation represent?
The equation -16t^2 + 144t gives the height, in feet, of a toy rocket t seconds after it was launched up into the air. How long will it take for the rocket to return to the ground? Solve the quadratic equation -16t^2 + 144t = 0 using the quadratic formula.
A wire is used to anchor a 20-foot-tall pole. One end of the wire is attached to the top of the pole. The other end is fastened to a stake two feet away from the bottom of the pole. Find the length of the wire.
A simple guitar is made of a string which can be lengthened or shortened. How does increasing the length of the guitar string change the natural frequency and speed of waves on the guitar string? The natural frequency and wave speed both decrease
c. If you start skating down this hill, your potential energy will be converted to kinetic energy. At th bottom of the hill, your kinetic energy will be equal to your potential energy at the top. What will be your speed at the bottom of the hill?
You and your best friend start from the same point and run around a circular stadium, whose radius is 2500 feet, at the speed of 1100 feet and 800 feet per minute respectively, in the opposite directions. How many minutes will it take you to meet your friend?
Text: (PHYSICS DRILL - Conservation of Energy) / (KEâ‚ + PEâ‚) = KEâ‚ + PEâ‚ A skier starts from rest at the top of a 45m hill. She skis down an incline into a valley. She then continues up a 40m hill. Both hill heights are measured from the valley floor. How fast is the skier…
The text is given by h(t) = -4.9t^2 + 214t + 143. Assuming that the rocket will splash down into the ocean, at what time does splashdown occur? The rocket splashes down after seconds. How high above sea level does the rocket get at its peak? The rocket peaks at meters above sea level.
The equation shown is used to find the force of gravity, F, between two objects, where G is the gravitational constant. mâ‚ and mâ‚‚ are the masses of the two objects, and r is the distance between the two objects. F = (G * mâ‚ * mâ‚‚) / (r²) Which equation correctly shows the distance…
When substances which normally crystallize in the bcc or diamond structures are subjected to very high hydrostatic pressure, a phase transition to an fcc structure sometimes occurs. Can you suggest a qualitative physical explanation for this fact?
can someone please explain to me what the single-slit diffraction is and why it happens? thanks!
Underneath a car, there are 4 springs that act to cushion the passengers when a car hits a bump. For this problem, we will assume the 4 springs act as a single spring with a spring constant of 6.5 x 10^4 N/m. A family of 4 people with a total mass of 200 kg is riding along and the car (mass of…
A monoatomic ideal gas starts at P initial volume initial and temperature initial it undergoes a newly invented thermodynamic expansion process where pressure times volume squared is a constant PV^2= Constant this process expands the gas to a larger volume vf1 sketch a plot2 how much work does…
Consider a photon with energy 1.05 eV. a) What is its wavelength in nanometers? b) What is its frequency in hertz? c) What type of electromagnetic radiation is it?
A 1500 kg car has the same momentum as a 2500 kg truck, moving at 15 m/s. How fast is the car moving in m/s? You should NOT include any units with your answer; just the number. Make sure your answer is accurate to at least 3 significant digits, as you will be graded on your accuracy.…
A 1750 kg Indy car with a speed of 34 m/s goes around a level, circular track with a radius 1.5 km. What is the centripetal acceleration of the car? 2. What is the centripetal force of the Indy car from question #1
You want to go around the merry-go-round 3.5 times. If the merry-go-round has a 5.0 m radius, how far did you travel? 2. A 1750 kg Indy car with a speed of 34 m/s goes around a level, circular track with a radius 1.5 km. What is the centripetal acceleration of the car?
The zero level of the gravitational potential energy of a body near the surface of the Earth is located at:
Methane is classified as a greenhouse gas. Describe what is meant by a greenhouse gas.
A huge (a sled) contains two athletes, and has a total mass of 225 kg, including the mass of the athletes. It starts at the top of a mountain, with an 900 m elevation, and travels a distance of 2000 m along a straight track, before reaching the bottom of the hill. The magnitude of the work, in…
Dr. Evil and Dr. Strange are flying in their rockets. Dr. Evil flies away from Dr. Strange at 3.60x10^5 m/s. Dr. Strange flies toward Dr. Evil at 5.50x10^5 m/s. What is their relative velocity?
The index of refraction of water is 1.33. The speed of light in an unknown material is 1.95x10^8 m/s. If a light ray in water has an incident angle of 31.6° and strikes a surface of the unknown material, what is the refracted angle in the unknown material?
How fast is an ambulance going if it emits a sound of frequency 1500 Hz and it makes 2000 revolutions per kilometer?
In a single-slit interference experiment, a laser passes through an opening of 47.0 μm. The pattern forms on a screen that is 2.40 m from the slit. The eleventh dark fringe is 36.0 cm from the center of the central bright fringe. What is the angular position of this dark fringe and what is the…
Let p denote the object-lens distance and q the image-lens distance. The image produced by a lens of focal length f has a height that can be obtained from the object height by multiplying it by: a) p/q b) q/p c) f/p d) f/q e) q/f
The tensile stress on a concrete block is 0.652 x 109 N/m2 . What is its tensile strain under this force? Young's modulus of concrete is 20.2 x 109 N/m2.
A car, with a mass of 1000 kg, is moving in a circle of 25 m radius, and at a constant speed of 12 m/s. What is the magnitude of the centripetal acceleration, acting on the car in Select closest answer.
Which is true of the autocratic theory? Answer choices: A. The majority determines the direction of the administrative position. This is a much slower process in which leadership aids in keeping groups from becoming bogged down. B. There is very little guidance in this philosophy. This is the…
Consider a conducting wire made of copper. Copper has a carrier density of 8.5x10^28 carriers/m^3 and an electrical resistivity of 1.7x10^-8 ohms*m and a charge of 1e/carrier. If a potential difference of 12V is applied between the ends of a copper wire that is 100m long and 1.0mm in diameter,…
A 58.1 kg astronaut is doing a repair in space on the orbiting space station. She throws a 1.9 kg tool away from her at 21.5 m/s in the direction that is directly away from the station. What is her velocity after throwing the tool?
Object O stands on the central axis of a convex mirror. An object is located 43.7 cm in front of the mirror. The distance between the focal point and the mirror is 12.8 cm. What is the radius of curvature r (including sign) for this mirror? What is the image distance i? Also determine whether…
A circular coil enclosing an area of 0.3 m2 is made of 200 turns of wire. The wire making up the coil has a resistance of 5.0 Ω , and the ends of the wire are connected to form a closed circuit. Initially, a 0.75 T magnetic field points perpendicularly upward through the plane of the coil. …
Transcranial magnetic stimulation (TMS) is a noninvasive technique used to stimulate regions of the human brain. A small coil is placed on the scalp, and a brief burst of current in the coil produced a rapidly changing magnetic field in the brain. The induced emf can be sufficient to stimulate…
A bolt of lightning passes 25 m from a 300-turn coil as shown in the picture. The lightning bolt carries 15 C of charge in 1.2x10^-3 s. Find the current carried by the lightning bolt. Find the magnetic field created by the lightning bolt 25 m away. Assuming the magnetic field goes from 0 to its…
A student connects two bulbs in parallel on a 1.5 V battery. One bulb is rated as 4 W for a nominal voltage 1.5 V and the second one is rated for 6 W at 3 V nominal voltage. What is the nominal resistance of each bulb? Which of the two bulbs appears to be brighter? Please show all calculations
A bolt gun contains a spring of spring constant k = 17 N/m, which is used to fire a bolt of mass m. The bolt leaves the gun at a speed of v = 6.4 m/s after the spring is compressed 1 cm. The height (h) is 2 meters, the final velocity is 8.952 m/s, the gravitational force (Fg) is 4.067 x 10^-4.…
An object has a kinetic energy of 323 J and a momentum of magnitude 26.5 kg · m/s.(a) Find the speed of the object. ____ m/s(b) Find the mass of the object.____ kg
a flat pan container holds 200g of water. if over a 10 min period, 1.5 g of water evaporates from the surface, what is the approximate temperature change of the remaining water
A 4.58 cm tall object is placed 28.8 cm in front of the vertex of a concave spherical mirror with a radius of curvature of magnitude 28.3 cm. Determine the magnitude of the image height in cm.
if J is 57cm, k is 12, and I is 55cm, what's the measure angle for L
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Please help me with these questions. A ball is thrown straight up at a speed of 5 m/s. Because of gravity, the ball will eventually slow down, stop, and fall back down. The law of gravity says that the acceleration due to gravity is -9.8 m/s^2. Let h(t) be the height of the ball t seconds after…
The radius of the Earth is 6,378 km and the Earth's crust has an average thickness of 38 km. Assume the average density of the Earth's crust is 3 g/cm3. How much mass is in the Earth's crust in kg?
you know what else isnt nice charging me to show my steps
What was the man's average speed (rate ) between 77 s and 169 s?
Light of wavelength 632.8 nm falls on a single 0.0666 mm wide slit. (a) On a very large and distant screen, how many dark bands are there in total? (b) At what angle is the highest order dark band seen?
Solving a two-step equation with integers. Solve for v: 4v + 3 = -17. Simplify your answer as much as possible.
How do you find the time it takes for a ball to hit the ground in a vertical motion question?
If an angle turned through (75)/(360) of a circle, what would be the measurement, in degrees, of the remaining angle of the circle?
rita watered 12 plants. Every pant got (2)/(9) gallons of water. how much water did she use in all?
An object rolls without slipping along a horizontal surface. What percentage of its total kinetic energy is rotational kinetic energy?
The angle mA is complementary to the angle mB. The angle mC is complementary to the angle mB. If angle mA = 62, what is the angle mD and the angle mE?
1. Magnet A has twice the magnetic field strength of mag-net B (at equal distance) and, at a certain distance, it pulls on magnet B with a force of 50 N. How much force does magnet B pull on magnet A? 2. A straight current-carrying wire is horizontal and oriented south to north. When a…
as an object moves away from a plane mirror on a wall and you observe the object and the image from the position of the mirror, the image of the object: A) gets smaller B) may or may not get smaller, depending on where the observed is positioned C) is always a real image, no matter how far you…
Kate is taking part in jumping drills at the start of the basketball season to measure her maximum vertical jump height. She is performing non-counter movement jumps from a force platform which enables her vertical ground reaction forces to be recorded. She has a mass of 73 kg. For a particular…
b. If the player exerted a 9.00-N force, but the stick was in contact with the puck for only half the distance (0.075m), how much work does the stick do on the puck?
If two trains are 200 miles apart and one train is going at a speed of 75 mph and the other train is coming in the other direction at a speed of 45 mph, how long before the trains collide?
Amber stands 6 feet tall. The distance from the top of Amber's head to the end of her shadow is 15 feet. What is the length of Amber's shadow? Round your answer to the nearest foot.
Global warming and changing weather patterns are affecting the water supply for one of the world's most important waterways, the Panama Canal, as well as access to drinking water for millions of Panamanians
Kamal puts $500 in a savings aceount that earns simple interest. The interest rate is 5%. How long will it take Kamal to earn $500 in interest from this account if he makes no other deposit or withdrawal? A 100 years B 25 years C 20 years D y years
Frank, Margaret, and Paula collect rocks. Frank has 10 rocks. Margaret has 7 more rocks than Frank. Paula has 4 times as many rocks as Margaret. How many rocks do Frank, Margaret, and Paula have altogether?
how with the reason is curve regarding its (delta w) width change if we increase the resistance of the circuit? A driven oscillation circuit using a bread board.
A 33.0 cm long spring is hung vertically from a ceiling and stretches to 37.9 cm when a 7.00 kg mass is hung from its free end.
A hydrogen atom has an electron that is excited to the fourth orbital (n=4). What is the energy that must be gained in order for this to occur? If the electron then drops back down to ground state (n=1) in one step, then this same amount of energy will be emitted as a photon. What is the colour…
How do you convert a pressure in millimeters of mercury (mm Hg) to Pascals (Pa)?
What does it mean to measure a pressure in millimeters of mercury (mm Hg)?
In which type of collision is no kinetic energy lost? A. A perfectly elastic collision B. A perfectly inelastic collision C. A partially inelastic collision D. Energy is always conserved. Explain.
The normal tendency of positive charges is to A. move to regions of higher electric potential B. move to regions of lower electric potential C. remain stationary in electric field D. move perpendicularly to electric field lines. Explain.
Calculate the heat transfer rate from 1000 ft², 6 in. thick concrete wall with inside and outside surface temperatures of 20°C and 0°C. Convert the area and wall thickness to meters first, and provide the answer in Watts. (Please provide a simple picture/drawing)
A transformer used for rechargeable flashlight batteries has 500 turns on its primary and 4 turns on its secondary. It's plugged into a standard 120 V outlet (primary) What is the voltage on the secondary? What primary current is required to produce a 4.00 A output (secondary)?
Problem 3: You have a spring with a spring constant 4330 N/m. How far, in centimeters, would you have to compress this spring to store this energy? Numeric : A numeric value is expected and not an expression. Δx=
If you apply 200 lb. of force to a piston that has a surface area of 1 square inch, how much pressure will be created? If you apply 200 lb. of force to a piston that has a surface area of 2 square inches, how much pressure will be created? If you apply 50 lb. of force to a piston that has a…
Which is true about the energy levels of a two-dimensional infinite potential well? a) Two energies might have the same quantum state. b) Two quantum states might have the same energy. c) Some quantum states are empty because they are forbidden. d) Some energy levels are empty because they are…
How much energy does it take to raise 409 grams of water 10.0 degrees Celsius, if the specific heat of water is 4.184 J/g°C?
Determine the force a positive ion and a negative ion exert on each other if they are separated
A sinusoidal wave has period 0.10 s and wavelength 2.5 m. what is the wave speed
underneath a car, there are 4 springs that act to cushion the passengers when a car hits a bump. For this problem, we will assume the 4 springs act as a single spring with a spring constant of 6.5 x 10^4 N/m. A family of 4 people with a total mass of 200 kg is riding along and the car (mass of…
A 4 kg box, pulled by a rope, is accelerated at 1.6 m/s^2 horizontally across a floor. Assuming μk = 0.50 between the box and the floor, find the tension in the rope. An air freshener is hanging from a string on the rear-view mirror of a taxi. As the vehicle's speed increases with constant…
X-ray photons that have a wavelength of 0.490 nm are scattered off carbon atoms (which possess essentially stationary electrons in their valence shells). - What is the kinetic energy K2 of the scattered electrons if the photons are scattered at an angle of 60.0°? - What is the kinetic energy…
a solid sphere of mass 1.0 kg and radius of 0.2 m starts from rest and rolls without slipping down a 10.0 m high inclined plane what is the speed of the sphere when it reaches the bottom of the incline plane
state of mass 15.8 kg move with a speed equal to 0.232 m/s on a horizontal surface then it is pushed in the direction of motion with constant force for next 1.45 m Final speed is equal to 0.335 m/s calculate A) find the work done by the force B) the magnitude of the force
A car of mass 1475 kg drives on the flat road. The force of the friction equals 5.42*10^3 N. What should be the force to push the car forward if we want to drive the car east with a speed of 10.5 m/s that doesn't change with time?
Consider an object fully immersed in water the buoyant force on it equals to 2.14 N calculate the volume of the displays water
Consider a person of mass 70.2 kg , and a deck of mass 12.8 kg How close they have to be in order for their gravitational attraction to be equal to the weight of the person
The weight of an astronaut on the moon, where the acceleration due to gravity equals 1.62 m/s^2, is 114 N. The same astronaut weighs 262 N on Mars. What is the acceleration of gravity on Mars?
The gold car and blue car are initially at rest. At t = 0, the gold car is at x = 0 and begins to accelerate at +4 m/s^2 while the blue car is at x = 25 m and begins to accelerate at +2 m/s^2. Calculate the x-coordinate where the gold car will pass the blue car. Take as point objects that are…
You need to use a 21- cm -focal-length lens to produce an inverted image half the height of an object. At what distance from the object should the lens be placed?
John pushes a door at a point 0.75 m from the hinges with a 240 N force directed 20° away from being perpendicular to the door. There's a natural pivot point, the hinges. What maximum torque could he exert with this force? A. 240.0 Nm B. 180.0 Nm C. 169.0 Nm D. 61.5 Nm E. Zero
A 3-kg metal beam extends from a wall at an angle of 20° from the horizontal. If its center of gravity is 1.6 m from the point where the beam is attached to the wall. What is the torque on the beam about the point of attachment? A. 16.1 Nm B. 44.2 Nm C. 29.4 Nm D. 37.6 Nm E. 47.0 Nm
Consider two long, straight wires, parallel to the z-axis, spaced a distance d apart and carrying currents I in opposite directions. Describe the magnetic field H in terms of a magnetic scalar potential ΦM, with H = -∇ΦM.
A small statuette sits at a distance of 2.0 cm from a converging lens with a focal length of 24.9 cm. Determine the magnification of the object's image.
Davisson and Germer performed their experiment with a nickel target for several electron bombarding energies. At what angles would they find diffraction, arc 2.1 cm, 2.3 cm, and 3.2 cm (b) What is the lattice-plane spacing corresponding to each of the three rings? Thank you.
Please answer all questions… 1. A 1209 kg car accelerates from 16 m/s to 55 m/s in 6.0 seconds. Calculate the force it takes to cause this acceleration. 2. A 800 kg car experiences a change in momentum of 382 kg·m/s over a time interval of 5.44 seconds. What is the force on the vehicle…
1. For a mass ð‘š attached to a spring with the strength described by spring constant ð‘˜, what is the angular frequency of a driving force that will set up the largest forced oscillations? (Express your answer in terms of ð‘š and ð‘˜) 2. Suppose the angular frequency ðœ”ð‘‘ of a…
A vat of 12.0 kg of molten copper at its boiling point of 1083°C is placed in a room with dimensions 3.00 m by 9.00 m by 3.00 m with an initial temperature of 20.0°C. A) If air has a specific heat of 1006 J/(kg °C) and a density of 1.204 kg/m³, what is the air temperature once the copper…
a) aircraft at altitude 150 hPa and temperature -60 C. cabin pressure is 700 hPa. What is the resulting air temperature?b) Also, air is isobarically heated to cabin temp of 20 C. what is the heat per kg of air needed to complete this part? Please show all work and explain all steps. This is…
A light beam traveling in air makes an angle θi with respect to an air-plastic interface. After it enters a rectangular block of plastic, it travels at an angle of of θr with respect to the normal. Write an equation for the index of refraction of the plastic in terms of the given variables.…
A 1.49 cm tall object is placed 24.5 cm in front of the vertex of a concave spherical mirror with a radius of curvature of magnitude 19.7 cm. Determine the magnitude of the image height in cm.
An object is placed 33.3 cm in front of the vertex of a concave spherical mirror with a radius of curvature of magnitude 37.1 cm. Determine the image distance in cm from the vertex.
A train traveling with an initial velocity of 207 km/h slows to a stop after traveling a distance of 4826 m. What is the magnitude of the net force exerted by the engine to stop the train if its mass is 817,388 kg (e+5=10^5)? Give your answer in scientific notation, for example 7.53e+5.
Find the force in Newtons that causes an acceleration of 6.15 m/s2 to an object of mass 0.552 kg.
A non-Newtonian fluid that obeys the Herschel-Bulkley model is found in a cylindrical tube of length L and radius R. The tube is in a vertical position and at the bottom there is a plate that perfectly covers the tube outlet. When removing the plate, the liquid may or may not come out due to…
A force of 43.5 N is applied to a 2.07 kg puck. What is the acceleration of the puck in m/s2?
From the wavelength "λ" and speed "v" values in steps 5 and 6, calculate the frequency of the Perseus wave using the formula f = v / λ. Write your answer here:
A photon with a wavelength λ = 0.1385 nm scatters from an electron that is initially at rest. The electron moves with a non-relativistic speed of 8.90 x 10^6 m/s immediately after the collision. a) What is the energy of the photon prior to the collision and after the collision? b) A detailed…
Laser light sent through a double slit produces an interference pattern on a screen 2.99 m from the slits. If the m = 2 maximum occurs at an angle of 10.61°, at what angle does the m = 8 maximum occur?
the relation between the number of photons and the applied voltage
part 1 - A 0.145- kg baseball traveling 35.50 m/s is stopped in 0.183 s by a catcher's mitt. What is the average acceleration of the ball? part 2 - What is the average force on the catcher's mitt?
Which is true about the energy levels of a one-dimensional, infinite potential well? a) They are proportional to the well width L b) They are proportional to the square of well width L c) They are inversely proportional to the square of the well width L d) They are inversely proportional to…
Many dielectric materials, whose equation of state at temperatures above about is given as p/v = (c + d/T)E. (a) Calculate (dE/dT) at a constant pressure, (b) Calculate (dp/dT) at a constant E.
If the temperature and mass of a 15 L sample of gas are held constant while its absolute pressure increases from 200 to 600 kPa, what will be its new volume? What will be the final gauge pressure?
Two resistors are connected in parallel with a battery. If R2 has twice the resistance of R1, then what can be known about the power dissipated in the resistors? A. R1 dissipates half the power of R2. B. They dissipate the same amount of power since they have the same voltage. C. R1 dissipates…
What frequency is received by a person watching an oncoming ambulance moving at 116 km/h and emitting a steady 811 Hz sound from its siren? The speed of sound on this day is 349 m/s.
In this lab, a mass (m) on the floor is going to be lifted up to a height (h), and then lowered back down again to the floor. What is the total change in gravitational potential energy of the mass during this process? Briefly explain your answer. I know that potential energy = mass x gravity x…
A 200-gram ball is dropped from a height of 2.5 meters. a. How fast is the ball moving when it hits the ground? b. If the ball loses 20% of its speed in the impact, how fast is the ball moving after impact? c. The collision takes 0.03 seconds, how much force does the ball experience?
How fast would you have to throw a softball (200 grams) in order to stop a 2700-kg truck that is rolling at 5 mph (2.2 m/s), if the ball gets stuck in the truck upon impact?
How much energy does it take to raise the temperature of 1 liter of water 20 degrees Celsius, assuming it doesn't boil? (In Calories) The mass of 1L of water is 1kg. Same situation as before, but what if it's ice instead of water? The mass of 1L of ice is 0.918 kg. Assume the ice never melts.
A wind turbine is started from rest in a steady wind. The turbine has three long thin rotor blades attached to a rotor at the center. Each individual blade has a length of 63.5 m from tip to the point of rotation and a mass of 1.2 x 10^4 kg. a. Treating the blades as long thin rods, determine…
A horizontal pipe has water flowing in it. The diameter of the pipe is 6.00 cm and the speed of the water through it is 2.50 m/s. The pressure of the water is 3.0 x 10^5 N/m^2. After some distance, the diameter reduces to 4.00 cm. A) Calculate the speed of the water in this narrower section. B)…
A wire has a length of L and area of cross-section A. Its resistance is R. It is pulled so that its length is doubled, and as a result its area of cross-section is halved. (That is, it becomes longer and thinner). This is because its volume remains constant. (just like when you pull chewing…
a solenoid with n turns has a radius of 0.040 m and is 40 cm long. this solenoid carries a current of 12 a, and the magnitude of the magnetic field near the center of the solenoid is 0.0150 t. a) how many turns does this solenoid have? b) an iron core of y = 5,000 is inserted into the solenoid.…
A 1 kg physics textbook sliding on a carpet is attached to one end of a horizontal spring (k = 200 N/m) which has its other end fixed. If the book is displaced 24 cm horizontally from the equilibrium position and released from rest, the book first reaches the equilibrium position with a speed…
Ultrasound of intensity 151 W/m ^2 is produced by the rectangular head of a medical imaging device measuring 3.07 by 5.19 cm. What is its power output?
A wheel balancing machine is turned on at time t=0.00 s. After 15.0 s, the wheel is measured to be 20.0 rad/s. The mass of the wheel is 8.00 kg, and assume that it is a disk of diameter 6.00 cm and width 20.0 cm, and is spinning about its axis. Calculate the torque that was applied by the…
A 6.79 mm high pushpin sits upright in front of a converging lens at a distance of 35.6 cm. If the magnitude of the height of the inverted image is 2.33 mm, what is the focal length of the lens in cm?
A concave spherical mirror has a radius of curvature of 26.8 cm. If a REAL image of an object appears 40.1 cm from the vertex of the mirror, how far (in cm) is the object from the vertex? A small statuette sits at a distance of 3.9 cm from a converging lens with a focal length of 28.6 cm.…
A gadfly has velocity v → = 4.5 i ^ + -3.8 j ^ + 1.6 k ^ m / s and position r → = 4.1 i ^ + 0.1 j ^ + 5 k ^ m . What is the magnitude of its angular momentum about the origin if its mass is 1.09 kg? [Hint: Remember that L → = r → × p → .]
A 1.73 cm tall object is placed 25.7 cm in front of the vertex of a concave spherical mirror with a radius of curvature of magnitude 30.0 cm. Determine the magnitude of the image height in cm.
An object is placed 36.6 cm in front of the vertex of a concave spherical mirror with a radius of curvature of magnitude 29.4 cm. Determine the image distance in cm from the vertex.
Which of these statements are true? Pick all that apply. 1The speed of light is the same seen by any observer anywhere in the universe 2The speed of light is approximately 299,792,458 m/s and is uncertain to about 1 m/s 3The speed of light is exactly 299,792,458 m/s 4If you are driving along…
How much momentum must an electron lose to change from a speed of 0.9980c as it enters an electric field region to a speed of 0.5000c? The mass of the electron is 9.11 x 10^-31 kg. The correct answer is 4.2 x 10^-21 kg·m/s, but I am unsure how to solve the problem.
If you are on an interstellar journey riding on a rocket going at 99% light speed relative to Earth, you would definitely notice: a. None of the above effects occurs. b. Your mass is much less than when at rest on Earth. c. Your mass is much greater than when at rest on Earth. d. Your physical…
A metal advertising sign (weight w) is suspended from the end of a massless rod of length L. The rod is supported at one end by a hinge at point P and at the other end by a cable at an angle from the horizontal. Rank the following forces in order of their magnitude, from largest to smallest. A.…
If the distance across a town in one direction is 12.5 miles according to Google Maps, how fast, relative to Earth, would you have to fly for this same distance to appear only 6.50 miles? The answer is 0.854c, but I am unsure how.
When a soap bubble in air is illuminated at normal incidence by a monochromatic 463 nm light source, the reflection is especially bright. If the index of refraction of the soap bubble is 1.35, what is the minimum thickness of the bubble film? a. 171 nm (wrong) b. 21.4 nm c. 343 nm d. 42.8…
To tighten a bolt, a force of 20 N is applied straight down using a wrench that is 20 cm long. The radius of the bolt is 1 cm. What is the average torque exerted? *The radius should be the distance from the center of the bolt to the end of the wrench.
In Special Relativity, we say that "moving clocks run slow". This means that any process used to keep time will appear to happen more slowly in a moving object when seen by an observer not moving with the object. It is not possible to have events that are simultaneously occurring as seen by all…
A figure is 1.7 mm tall and positioned 25 cm from the center of a convex mirror. The radius of curvature of the mirror has a magnitude of 73 cm. What is the height of the image? Answer in units of mm or cm, please.
A UV laser with a wavelength of 260 nm shines through two identical slits. The interference pattern seen on a screen 4.6 m away shows adjacent bright fringes 4.0 mm apart. What is the distance between the centers of the two slits? Answer in units of mm, please.
A bright light source is positioned 10.0 m below the top surface of a large, deep, clear lake, shining in all directions. What is the diameter of the circle of light seen by someone looking down from above (in air, viewing light coming from the water below)? The index of refraction of water is…
While Special Relativity seems like the physics of the extreme, it has many consequences that we do experience. The following are all true statements. Select from them the three that need the ideas of General Relativity as well as Special Relativity to explain. That magnetic forces are really…
Two spacecraft from opposite directions are traveling toward each other along a straight line at a constant relative velocity of 0.9606c, as measured by Captain Picard on one of the spacecraft. While on Earth, you measure the speed of one of the ships as 0.8000c. From your point of view at rest…
What would be the best way to open a door if the same force is applied in all the choices? A) Very close to the hinges of the door. B) In the middle point of the door. C) As far as possible from the hinges.
A smoke detector consists of two plates with potentials Va = (8.000x10^0) volts and Vb = (-9.00x10^0) volts, respectively. A stationary smoke particle with charge q = (7.5x10^-17) C and mass m = (4.110x10^-25) kg is located at the plate Va. Use the Principle of Conservation of Energy to…
A small mass m = 50g is spun around at the end of a string of length L = 2.0 m. Neglect gravity. (a) If the tangential velocity is 4.0 m/s, what is the tension force in the string? (b) What is the period of revolution of the mass?
Determine the local sidereal time at an observatory if Betelgeuse, which has a right ascension of 5h 55m, is due to cross the observer's meridian 2.5 sidereal hours later.
A 1700 kg compact car initially traveling south at 70 km/h collides at an intersection with a 2500 kg SUV initially traveling west. The car and the SUV stick together after the collision and slide in a direction [S 70° W] after the collision. a) Draw a sketch of this sequence of events that…
A circular loop is centered on the origin in the xy plane, immersed in a magnetic field B = -B0 ˆz. The loop is made from wire having cross-sectional area A and electrical conductivity σ. In order to maintain a constant current I0, oriented in the ˆφ direction, find the loop's radius, r(t),…
A uniform ball rolls on a rough plane inclined at angle to the horizontal. Show that the component of perpendicular to the plane is conserved. If the ball rolls on the plane, show that the path of the ball is parabolic.
Which THREE of the following statements correspond to Newton's Laws of Motion? An external force on an object will accelerate that object provided the external force is larger than the weight force of the object. Forces come in symmetric pairs - equal in magnitude, opposite in direction. An…
60 m/s at 30 degrees and the constant acceleration is 10 m/s^2 at 40 degrees, what is the final velocity after 10 seconds with this acceleration? (b) What is the displacement after 10 seconds?
As mentioned in exercise 14-1, the speed of sound in air is approximately 343 m/sec. What is the wave length of a sound wave with a frequency of 132 Hz?
Calculate the reactance in ohms of a (7.30x10^-6) F capacitor in an AC circuit oscillating at a frequency of (7.0x10^5) Hz.
What is the rest energy of an alpha particle in MeV/c2
The atomic mass of Cl 35 17 is 34.96885. (a) What is its binding energy? (b) What is its binding per nucleon?
A rock is thrown 10 m/s at an angle 30 degrees, near the surface of earth, what is the maximum height the rock can reach? (b) How much time does the rock spend in the air? (c) What is the rock's horizontal displacement before it hits the ground?
Comment on the accuracy of your experimental value for the acceleration due to gravity g.
Evaluate the object or image distance and its associated sign using the mirror equation. (cont.) The problem states that the person stands 9.05 m in front of the mirror, so p = 9.05 m. The unknown quantity to be determined in part (b) is the image distance q. The sign associated with q is…
60 m/s at 30 degrees and the constant acceleration is 10 m/s^2 at 40 degrees, what is the final velocity after 10 seconds with this acceleration? (b) What is the displacement after 10 seconds?
A rock dropped from a cliff takes 8 seconds to hit the ground, what is the height of the cliff? (b) What is the final velocity of the rock before hitting the ground?
i) Estimate the mechanical work an apple tree needs to do between winter and autumn to grow all the apples and leaves. Neglect the molecular level efforts and mind only the work needed to lift all the required material up the branches. ii) Estimate how much the growth of the leaves and apples…
i) Estimate the mechanical work an apple tree needs to do between winter and autumn to grow all the apples and leaves. Neglect the molecular level efforts and mind only the work needed to lift all the required material up the branches. ii) Estimate how much the growth of the leaves and apples…
i) A large cylindrical tank contains 0.760 m^3 of nitrogen gas at 25.0 °C and 8150 Pa (absolute pressure). The tank has a tight-fitting piston that allows the volume to be changed. Calculate the pressure in the tank if the volume is decreased to 0.490 m^3 and the temperature is increased to…
3. i) An object is undergoing SHM with period 0.730 s and amplitude 0.320 m. At t = 0, the object is at x = 0.320 m and is instantaneously at rest. Calculate the time it takes the object to go from x = 0.320 m, to x = 0.160 m. Calculate the time it takes the object to go from x = 0.160 m, to x…
A sun-like star is barely visible to naked-eye observers on Earth when it is a distance of 7.0 light years, or 6.6×10^16 m, away. The sun emits a power of 3.8×10^26 W. Using this information, at what distance would a candle that emits a power of 0.26 W just be visible? 2. Corrected_text: A…
In a region where the electric field is uniform and points in the +x direction, the electric potential is -1600 V at x = 7 m and is +400 V at x = 3 m. What is the magnitude of the electric field?
i) A lamp hangs vertically from a cord in a descending elevator that decelerates at 1.6 m/s^2. Calculate the lamp's mass if the tension in the cord is 60 N. Calculate the cord's tension when the elevator ascends with an upward acceleration of 2.4 m/s^2. ii) A box of canned goods slides down…
1. i) The radius of Mercury's orbit around the sun (assumed to be circular) is 5.79 × 107km, and it travels around this orbit in 88 days. Calculate the magnitude of the orbital velocity of Mercury in m/s? Calculate its centripetal acceleration. ii) Firemen are shooting a stream of water at a…
Part (b): Calculate the moment of inertia of the skater with their arms extended. Assume the body is a cylinder of the same size as in part (a), and the arms are 57.5 cm long rods extending straight out from the outside edge of the cylinder (NOT from the centerline of the cylinder). Part (c):…
In a typical thunderstorm the electric field is about 105 V/m and a flash of lighting transfers 30 C across a potential difference of 30 MV. Considering the thundercloud to be cylindrical with a diameter of 20 km and a height of 10 km and assuming that and that each flash occurs every five…
Calculate the photon energy and wavelength for a transition from n = 5 to n = 2 in the hydrogen atom. E_p = Answer eV lambda = Answer nm
A point particle of mass 4 kg is located at position r1 = 2i - j. A second point particle of mass 1 kg is located at position r2 = i - 4j. Compute the center of mass of the two particles.
Jim pushes a 45kg shopping cart at the end of his shopping trip. He is rushing out of the store and accelerating at 5 m/s2 . There is no friction. Which of the following are true statements?
Calculate the energy of a photon with a wavelength of 78 nm. Give your answer in eV to 3 decimals. A photon has a wavelength of 487 nm. What is the energy of the photon (in units of 10^-19 Joules)? The wings of a certain beetle have a series of parallel lines across them. When normally incident…
A turn of radius 94 m is being designed for a speed of 25.0 m/s. At what angle should the turn be banked so that a car can make the turn with zero friction?
A 12-kg box slides down a frictionless ramp that makes a 15 deg angle with the horizontal. If the box slides a distance of 2.1 m along the ramp's surface, how much work is done by gravity during this motion? Give your answer as a numerical value in Joules.
An insect (a beetle) is on an LP record. A student other than yourself might want to "Let it Be"; but you want it off your record. The bug is at a distance of 29 cm from the center. The mass of the bug is 0.80 grams with a friction coefficient of μ = 0.14. What frequency do you need to set…
Light of wavelength 677 nm falls on two slits and produces an interference pattern in which the fourth-order fringe is 97.6 mm from the central fringe on a screen 1.57 m away. What is the separation of the two slits - in micrometres to 3 decimals? The first-order line of 380 nm light falling on…
Assume you have a 10 cm long aquarium where the temperature is set at x = 0 cm to 3 degrees Celsius and is set at x = 10 cm to 15 degrees Celsius. The top and bottom are insulated. What will be the temperature at x = 7 cm after a long time such that there is no more net heat diffusion?
A 50-kW radio transmitter operates at a frequency of 1.0 MHz. How many photons does it emit each second?
A person of mass 68000 g stands on a scale that measures in Newtons while in an elevator. If the elevator is accelerating upwards at a rate of 4.7 m/s2, what is the reading on the scale?
A plane is flying at 255 km/h [E 41º S] relative to the air when the wind velocity is 55.0 km/h [E 80º N]. Calculate the speed of the plane relative to the ground in km/h.
A block with a mass of 0.30 kg is attached to a horizontal spring. The block is pulled back from its equilibrium position until the spring exerts a force of 1.0 N on the block. When the block is released, it oscillates with a frequency of 1.5 Hz. How far was the block pulled back before being…
A soccer player kicks the ball in a parabolic path. The ball leaves the player's foot with a speed of 32.0 m/s, making an angle of 40.0º with the horizontal. At what distance from the soccer player does the ball reach its maximum height (use g = 9.81 m/s2 [down])?
A proton whose kinetic energy is 12.5 keV is rotating in a plane perpendicular to a uniform magnetic field. The radius of its orbit is 20 cm. a. What is the period of motion of this proton? b. What is the modulus of the magnetic force acting on this proton? c. What is the modulus of the…
A laser beam is shone through a grating and a first-order maximum is produced at an angle of 9.2°. At what angle is the third-order maximum produced?
Consider the following scenario: particle A, with a charge of 5 nC, is placed 25 cm away from particle B, which has a charge of 10 nC. What is the magnitude of the electric field at the location of particle A?
A spherical balloon with a radius of 10 cm, filled with helium gas, is tied to a rope tied to the floor of the room. The density of air is 1.0 kg/m3 . and the average density of the gas-filled balloons equal to 0.050 kilograms per cubic meter a.) Find the magnitude of the buoyant force acting…
if an unfocused disc shaped is 8mm in diameter what is the qualitative width of the beam diameter at 8mm in relationship to the diameter of thr crystal?
If an unfocused disc shape is 8mm in diameter, what is the width of the beam diameter at 2 times the Fresnel zone length?
During the spring semester at MIT, residents of the parallel buildings of the East Campus dorms battle one another with large catapults that are made with surgical hose mounted on a window frame. A balloon filled with dyed water is placed in a pouch attached to the hose, which is then stretched…
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