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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
An arc that lies between two lines, rays, or segments is called a(n) arc.
At a height of 100 meters, the rock's height can be represented by the function h(t) = -4.9t^2 + 100, where t represents time in seconds and h(t) represents the height in meters.
Draw the angle and then find the reference angle to 436°.
Regarding the following scenario: A 145-g ball was thrown upward from the ground into the air at an initial velocity of 7.2 m/s. The ball reached a maximum height of 2.64m. What was the potential energy when the ball reached the maximum height?
The ratio of apple juice to cranberry juice in a punch is 3:9. Which ratio is equivalent to 3:9 ?
Regarding the following scenario: A 145-g ball was thrown upward from the ground into the air at an initial velocity of 7.2 m/s. The ball reached a maximum height of 2.64m. What was the kinetic engeryimmediately after it was thrown?
What is the minimum separation of 2 small sources of red lights on Earth that you can resolve by eye when you are flying 3.0 km above the ground? Assume the light's wavelength in air is 633 nm, the index of refraction inside the eye is 1.333, and a pupil diameter of 4.00 mm.
The object reaches its high point for the second time at t
An object was thrown with a. velocity of 4.3 m/s. If the kinetic energy of the object was 225 J. what was the mass of the object?
The following wave is made on a 12m string. What is the wavelength of the wave?
A young man heaves a 6.5 kg rock at a velocity of 6.9 m/s. What is the kinetic energy of the rock?
Write down the equation that describes the relationship between pressure, velocity, height, and other relevant terms corresponding to states 1 and 2 of this problem. Cross out terms that are negligible. Determine the average velocity of the flow in the pipe in (m/s). You do not need to use the…
The tent above has a volume of 135 ft³. What is the height of the tent (h)?
Suppose a hydrometer having a density of 0.750 g/mL floats in a liquid with 90.5% of its volume submerged. Find the density of the fluid, in kilograms per cubic meter.
A 61 kg skateboarder is moving down a ramp that has the shape of a semi-circle. The radius of the curve is 7.0 m. At the bottom of the ramp the skateboarder has gained 1.9 * 10 ^ 3 * J of kinetic energy. What is the skateboarder's approximate speed at the bottom of the ramp?
What is the thinnest possible layer thickness of diamond (n=2.42) that would form an antireflective coating on glass for yellow light (lambda = 650nm)? Please show all steps, including formula rearrangements!
Knowledge Check: Plotting Complex Numbers in the Complex Plane
If mass m= 3 Kg and acceleration a=5( m)/(s^(2.)) Find the equation that represents the situation.
You are on a ship using single beam echo sounding, which emits a ping (a sound). It takes 4 seconds before you hear the echo of that ping. Approximately how deep is the ocean below your boat? Remember, the speed of sound in seawater (V) is 1560 m/s and Depth = V(t/2).
ind the magnitude of the vector. Write your answer in simplified fol
When dropping a ball (mass = 10 kg) from a height of 2 m, what will be the velocity of the ball at the point of impact with the ground?
Calculate the amount of work done if you use a 100N force to push a 50kg box 5m
The amount y (in gallons ) of gasoline remaining in a gas tank after driving x hours
an arts camp is $250. If the activity fee increases by 20%, what will be the new activity
If an exponential function were to show decay by 14%, what would be the b-value that we multiply?
Find the temperature in (K) if the density is 4.37( g)/(L) at 97.4 kPa with a molar mass of 104.09( g)/(mol )? DRT = MP
The equation for the stated problem is Solve A=H(1+√r) for s. (Simplify your answer.)
A force of 150N is applied to an object, resulting in a displacement of 3m. Determine the work that was done.
On 24 Session 2: The mass of a crystal is 0.49 kg. a. Write 0.49 as a fraction. Show your work.
If a force of 6 newtons in strength is applied to an object of 4.5 kilograms, what will be the object's acceleration?
A solid block of mass m2 = 1.86 kg, at rest on a horizontal frictionless surface, is connected to a relaxed spring (with spring constant k = 58.1 N/m whose other end is fixed. Another solid block of mass m1 = 1.69 kg and speed v1 = 1.70 m/s collides with the 1.86 kg block. What is the change in…
The speed of light is approximately 300,000,000 meters per second. What is 300,000,000 written in scientific notation? 300,000,000
The speed of a bike changes uniformly from 7.8 m/s to 1.5 m/s in 7.0 seconds. The acceleration of the bike is m/s^2.
Your uncle worked two night shifts. Your grandfather has the flu.
A 4.1 g object moving to the right at 22 cm/s makes an elastic head-on collision with an 8.2 g object that is initially at rest. The velocity of the 4.1 g mass after the collision is -7.33 cm/s. What fraction of the initial kinetic energy was transferred to the 8.2 g block?
A bird flies a distance of 3500 km. If the bird flies at 12 m/s, how long would this trip take?
What is the approximate escape velocity from the surface of a white dwarf star? Assume the star has a radius comparable to that of Earth, and a mass comparable to that of the sun. Compare the escape speed to the speed of light. Same question, but for a one-solar-mass neutron star with a radius…
03 – Porky Pig and Tweety Bird feel 1 g at the top of a circular roller coaster loop for a total centripetal acceleration of 2 g's. The coaster diameter is 14.7 m. How fast are they moving? 04 – Elmer Fudd and Sylvester the Cat twirl a 50 cm long sling 120 times in 10 seconds. Determine the…
01 – Bugs drives a race car at 180 km/h around a flat circular track of radius 90 m. Determine the centripetal acceleration of the car. 02 – Daffy Duck drives a cycle with centripetal acceleration of 19.6 m/s² around a flat circular curve of radius 0.245 km. Determine the speed of the…
9. If the electrical force of repulsion between two 1-C charges is 10 N, how far apart are they? [30000 m]
A car moves at constant speed around a curve with a radius of 55.0 m, banked at an angle of 20° above the horizontal. (a) (20 points) If the mass of the car is 1380 kg and the car is moving with a constant speed of 18.5 m/5, what is the centripetal force of the car?
A container measuring 5m by 4m by 3m is completely filled with petrol. What is the volume of petrol in the container?
Given the point in polar coordinates, find two other polar coordinate representations with
Find the angular speed of a fan blade that turns one revolution every 0.28 seconds.
(i) absolute maximum value absolute minimum value local maximum value (s) local minimum value (s)
a cheetah runs at a speed of 72 miles per hour for 30 minutes. how far did it travel
The natural frequency of a flute is 350Hz. What is the frequency of the 4th harmonic frequency of the flute?
Element X decays radioactively with a half-life of 8 minutes. If there are 270 grams initially, how many grams will remain after 8 minutes?
A cylinder's radius and height are both 4 cm. what is the Lateral surface?
My classmates and I will each eat exactly two-thirds of a Chocolate cupcake. There are
Consider an oil film (n = 1.50) on water (n = 1.33) and 600. nm incident light. The maximum film thickness for constructive interference is
A jogger moves from a position x = 15.0 m to a position of x = 6.00 m in 4.00 s. What was her average velocity? (Unit) = (m/s)
if the potential difference between two points is 110 V how much energy is expended to bring 10 mC from one point to the other?
After the brake was applied, a bicycle wheel went through 5.25 rotations. Through how many radians did a spoke rotate?
The ratio of workers on task to workers on their phones was 5 to 3. The work force is made up of 88 workers. How many were on their phones?
How much of a radioactive kind of neodymium will be left after 33 days if the half-life is 11 days and you start with 80 grams?
George, a human cannonball, is shot from a cannon. His height, in meters, after launch is given by the equation h(t) = -2.1t^2 + 25.3t + 22. What is his height at t = 7s? 96.20m. Round to two decimal places.
You kick a ball across the park with an initial velocity of 64 feet per second. The standard form equation you would use to analyze the situation is:
(Use the Work – Kinetic Energy Theorem to solve this problem) A 20.0 kg block starts from rest at the top of a 10.0 meter long ramp that makes angle of 36.9 degrees with the horizontal. As the block slides down the ramp, a frictional force of 15.0 N acts on the block. Find the speed of the…
How much work is done on a small car if a 3150 N force is exerted to move it 75.5 m to the side of the road?
Block A is stationary on a frictionless surface. Block B moving with a velocity of 6.00 m/s makes a one-dimensional head-on collision with Block A and the two blocks stick and move together with a velocity of 30.0 m/s. The mass of block B is 125.0 kg. Find the mass of block A
100kg boulder falls from a cliff and gains 15600 joules of potential energy, how high is the cliff?
Question 9 (45 marks ) The circle s_(1) has centre C(5,3) and radius 5 . (a) Find the equation of the circle s_(1).
A flywheel accelerates from an initial rotation velocity of 20.0 revolutions per minute to a final rotational velocity of 40.0 revolutions per minute in 12.0 s. Find: a) its angular acceleration b) the number of revolutions that the flywheel makes during this time.
(iii ) Hence use your answers to parts (b)(ii) above to find the area of the triangle ABC.
A piece of sheet metal of uniform mass per unit area is cut into a shape and placed in the x-y plane. The edges are all straight lines connecting the following sequence of points: (0, 0), (1.2, 0),(1.2, 1.4), (.7 , .8), (0, .8), and back to (0, 0). all measurements are in meters. Where is the…
a) Calculate the maximum wave-induced horizontal drag force on a 1.2m diameter sphere held at 3m below the mean water level in water 12m deep. The waves have a length of 45m and a height of 1.5m. Take CD as 0.7. b) Explain why the lift force may be more important than drag or inertia forces in…
Which coordinate rule shows what happens to (x,y) after a dilation by a scale factor of 6 about the origin?
a solenoid 2500 turn and a diameter of 10 cm and a length of 20 cm. if the current varies from 0-10 A how much energy is stored in the magnetic field of the solenoid
Suppose it takes John 43 minutes to run 4 miles. How long would it take him to run 6 kilometers?
A camera lens magnifies an object 10^(3) times. The length of an object is 10^(-4) centimeter. What is its magnified length? y
A metal rod 76 cm long is laid out along the x-axis, from the origin to the point x=76 cm. The mass per unit length of the rod is given by the function A=5.00 + 0.05x, g/cm. a) What is the mass of the rod, in grams? b) Where is the center of mass of the rod?
A book sack has a mass of 5kg. What is its weight on Earth? Given: Substitute and work: Formula Answer:
An object with mass 1000 kg accelerates at 3 m/s^2 in a northern direction. Calculate the net force that causes this acceleration.
How many quarts of water should be mixed with 1(1)/(4) cups lemonade concentrate to make the same lemonade?
Jane walks 1.5km every day. How far does she walk in 7 days? Write your answer in meters.
A molecule of mass M is moving to the right at a speed of 2000 m/sec when it collides head on with a molecule of mass 5M initially at rest. The collision is elastic. After colliding, both molecules are moving along the same line. What is the velocity of both molecules after the collision?
A radioactive element has decayed to( 1)/(32) of its original concentration in 2 hrs. What is the half-life of this element?
Please answer! You just showed that any function f(x,t) where position is linked with time as x-ct satisfies the wave equation. Explain how the relationship x-ct leads to something which travels.
A solid glass paperweight has a mass of 500 grams. The glass has a density of 3.5 g/cm³. The paperweight is a hemisphere. Find x.
A 4.43 kg block of wood is sitting at rest on a level, frictionless surface. An 8.21 gram bullet is fired horizontally into the block and embeds itself in it. Immediately after impact, the block with the bullet in it slides along the surface with a speed of 1.77 m/sec. What was the initial…
2. A horizontal linear conductor of mass 15 grams and length 100 cm is introduced in a homogeneous vertical magnetic field of 1.5 T. The conductor is suspended on two thin and long wires. Through what angle are the wires going to deflect if a current of 1A is drawn through the conductor? (5…
Mr. Hall bought 3 kg of screws for a building project. They were priced at $2.50 per kilogram. How much did Mr. Hall pay?
An AC generator produces 10V when the coil rotates at 500 RPM. Find the EMF when the coil is made to rotate at 1500 RPM.
If 50 grams of iron are produced by this reaction, how many grams of carbon dioxide are also produced?
what happens if their is an equation that you cant solve but some of the equation you can
points Part 1 of 2 line through (-15,-1) and (-8,34). indicate whether the line through the points rises fro
(8%) Problem 7: Suppose there is an astronaut who is traveling at a significant fraction of the speed of light. Randomized Variables d = 4.05 ly v = 0.88315 c
A 20 kg mass has a kinetic energy of 1690 joules. a) What is the speed of the object? b) What is the magnitude of the linear momentum of the object?
The length of a string is 0.8m. Waves travel down the string at a speed of 10(m)/(s). What is the natural frequency of the string?
1) A 6.35 mm high pushpin sits upright in front of a converging lens at a distance of 34.1 cm. If the magnitude of the height of the inverted image is 3.66 mm, what is the focal length of the lens in cm?2) A small statuette sits at a distance of 13.0 cm from a converging lens with a focal…
7. A rigid body rotates with angular velocity w about the line x=y=z. Find the speed of a particle at the point (1,2,2)
Hello, please kindly help me with the Physics. How can I prove that the final temperature is 0? Also, what is the mass of the melted ice? Thanks a lot! Ex 2: Half a liter of water at T = 20°C is in an insulated container (thermos). 500 grams of ice are added to it at an initial temperature of…
NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.A crate of mass 100 kg is held in the position shown. If the man accidently drops the right end of the crate and surface between the crate and the horizontal surface is smooth,…
How long after the release of the first stone does the second stone hit the water?
What is the radius of a hemisphere with a volume of 66 cm³, to the nearest tenth of a centimeter? Answer: cm Submit Answer attempt 1 out of 2
A vector is 24.6 m long and makes an angle of 60.0° counterclockwise from the y-axis (on the side of the -x-axis).
The complex solid is made of a material that costs $0.15 per cubic centimeter. What does it cost to make the solid?
Find the momentum for a 2.6 kg brick parachuting straight downward at a constant speed of 9.0 m/s.
Waves of period 6 seconds and height 2.5m are propagating in water 10m deep. What is their wavelength, power per metre of crest and breaking height? Are these waves deep, intermediate or shallow?
A single AC source with a peak voltage of 22.56 V and an operational angular frequency of 67.9 rad/s powers a circuit with a single 321 μF capacitor. Determine the peak value of the current in this circuit.
A windowpane is 8 inches by 5 inches. What is the distance between opposite corners of the windowpane? If necessary, round to the nearest tenth.
How do you solve the distortion of a square wave centered around the origin and bounded at its ends? Please answer within 30 minutes. I will give a thumbs up.
A charge (q) produces a uniform electric field from the center of the circle with radius r=3m. Calculate the electric flux.
a) Specific heat of helium at a constant volume, c_v, is 3123 J/(kgK). What is the specific gas constant, 'R', and the specific heat at constant pressure, c_p, of helium? b) Temperature = 25°C, pressure = 1123 hPa. The airship is at equilibrium with the atmosphere before flying. What is the…
The weight of a bag of potatoes is 25kg, correct to the nearest kg. (b) Write down the largest possible weight of the bag of potatoes.
a 1500 kg car accelerates from rest with a propulsion force described by the equation F(x) = -50x + 10000. What is the car's speed after traveling 200m
A runaway truck with failed brakes is moving at 35 m/s just before the driver steers the truck up an emergency ramp with an inclination of 15°. The truck's mass is 1.2 x 10^4 kg. What minimum length must the ramp have to stop the truck if the coefficient of kinetic friction between the truck…
Question 1 of 10 If you vertically compress the absolute value parent function, f(x)=|x|, by a factor of 4 , what is the equation of the new function?
A +8nC charge is located 80 mm to the right of a +4nC charge. Determine the electric field at the midpoint of a line joining the two charges.
A sofa comes in two styles. Customers choose among 4 fabrics and 5 colors. How many sofa configurations are there?
The axis of symmetry is the imaginary line that goes through the vertex of a parabola and splits it into mirrored halves.
A catalog of scientific equipment states that the lens of a particular telescope has an area of 3.14 square meters. What is the lens's diameter?
Light of wavelength 589 nm is incident on a pair of slits 1.5 μm apart. A screen is placed 2.0m beyond the slits. What are the locations of the 1st and 2nd bright fringes relative to the center of the screen?
The height above the ground after x seconds of a ball dropped from the balcony of a stadium that is 25m off the ground.
Three point charges are placed on the x-axis. q^(1) = 5μC is at x = 0, q^(2) = 10μC is at x = 5m, and q^(3) is at x = 10m. If the electric field at point x = 2.5m is zero, how many coulombs of charge is q_(3)?
The line given by -6x - 4y = -8 is dilated by a scale factor of k = 5, centered at the origin. What is an equation of the image of the line after dilation?
Boris is riding his bicycle. He rides at a speed of 7 kilometers per hour for 11.2 kilometers. For how many hours does he ride?
a) What is the mechanical advantage of a nail puller when you exert a force 25 cm from the pivot, and the nail is 1.6 cm on the other side? b) What minimum force must you exert to apply a force of 940 N to the nail?
(b) Another ship sails from port P to port Q. It then sails from port Q to port R before returning to port P. (i) Find angle RPQ.
Incorrect 2 tries left. Please try again. Drag to show which of the given values are solutions of the inequality -15 ≥ (n)/(-3). Solution: 45, 40.
θ - Ms. Saturn compresses a spring 80 cm using 200 lbs of force. Determine the spring constant (stiffness) in N/m. She then uses the spring in a cylinder to fire a 150 g baseball with a launch angle of [East 45° Up] from an initial height of 1.5 m. Determine how far away the baseball will…
A 9.76 mm high pushpin sits upright in front of a converging lens at a distance of 32.3 cm. If the magnitude of the height of the inverted image is 4.51 mm, what is the focal length of the lens in cm?
Characteristic x-rays emitted by germanium have a wavelength of 0.113 nm. What is the energy of one of these x-ray photons? ___ keV
A small statuette sits at a distance of 4.1 cm from a converging lens with a focal length of 27.5 cm. Determine the magnification of the object's image.
1) A 1.37 cm tall object is placed 22.9 cm in front of the vertex of a concave spherical mirror with a radius of curvature of magnitude 35.2 cm. Determine the magnitude of the image height in cm.2) A concave spherical mirror has a radius of curvature of 16.0 cm. If a REAL image of an object…
An object was pushed across the floor with a force of 150 N, resulting in 6000 J of work. Determine the distance that the object was pushed.
A concave spherical mirror has a radius of curvature of 31.0 cm. If a REAL image of an object appears 23.3 cm from the vertex of the mirror, how far (in cm) is the object from the vertex?
An object 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? a. 10 cm b. 1.0 mm c. 1.7 cm d. 3.5 mm e. 2.0 mm (wrong)
A mass of 129. grams moves with a velocity of 15.0 m/s at 55.5 degrees. What is the velocity of a second mass (m2 = 239. grams) to have the total momentum for the system of masses to be zero?
What is the positive difference between the given values of average distance from the Sun for Mars and for Mercury?
The half-life of a radioactive kind of thallium is 5 minutes. How much will be left after 20 minutes, if you start with 933,392 grams of it? grams
Ms. Vulcan has a mass of 50 kg and Mr. X weighs 187 lbs. Together, they hang from a bungee cord of stiffness 75 N/m. a) If they are at rest and at the equilibrium position, then determine how much the bungee cord has been stretched. b) If they currently have an instantaneous acceleration of…
An object is placed 32.0 cm in front of the vertex of a concave spherical mirror with a radius of curvature of magnitude 20.8 cm. Determine the image distance in cm from the vertex.
A rock of radioactive material has 500 atoms in it. The number of atoms decreases at a rate of 11% a day. Write an exponential function that models this situation.
If you travel at a speed of 30 mph to your destination, and then return at a speed of 90 mph, what is your average speed for the round trip?
The radioactive gas radon has a half-life of approximately 3.5 days. About how much of a 100g ample will remain after one week?
How to Convert Mass The worldwide average weight of an adult is approximately 137 lbs. What is the worldwide average weight of an adult, in kilograms? Solution: (x)/(137 lbs) = (0.454 kg)/(11 b)
Find the kinetic energy (in keV) of a Carbon atom that has 12 as the atomic number and a mass of 12.0u, whose speed is 6 * 10^6 (m/s). What is the solution in MeV?
Given the area of the field is 5100m², calculate the cost of fencing the field if the cost of the mesh wire used is RM20 per meter.
The formula F= ma shows the relationship between force, mass, and acceleration. Solve this formula for a. a=F+m a=F-m a=Fm a=(F)/(m) Question 5 (Multiple Choice Worth 1 points ) (01.06 MC)
The ball is thrown horizontally from a 20 m high balcony. It falls to the ground at a distance of 30 m from the balcony. What initial speed did we give it?
According to Newton's Law of Cooling, the temperature of the coffee after time t is given by T(t) = 20 + 74e^(-t/51). What is the average temperature of the coffee during the first 14 minutes?
If the dwell time is 50ms, estimate the mapping time (512 x 512 pixel).
Two neutrons are attracted to each other by gravitation alone, since they have no charge. Determine the energy of the gravitationally bound two-neutron "molecule" in the following manner. Replace the Coulombic potential in the derivation of the Bohr atom with the gravitational potential, U(r) =…
Four pipes of radius 7cm are to be replaced by a single pipe which can discharge the same amount of water. Find the radius of the single pipe.
A uniform 2.0 T magnetic field passes through a circular loop with a radius of 0.2 m that has 4 turns. Calculate the flux through the loop.
When John drives a car on the highway it goes 198 kilometers on 3 liters of gasoline. Which of the following expresses this rate as a ratio? Select all correct answers.
Find the conversion factor, the value (with units) that you multiply a number by, that converts a value in miles to kilometers. Find the conversion factor that converts a value in kilometers to meters. Find the conversion factor that converts a value in hours to seconds. Use the above results…
At what distance above the surface of the earth is the acceleration due to the earth's gravity 0.600 m/s2 if the acceleration due to gravity at the surface has magnitude 9.80 m/s2?
car mass is 1250 kg, and diameter of the wheels are 60 cm. Initial angular velocity is 880 RPM. car is brought to a stop in 9.0 s. how far the car goes before it stops?
A mirror forms a real image at 41.6 cm from the mirror surface along the principal axis. If the corresponding object is at a 12.7 cm distance, what is the mirror's focal length?
A coil is moved downwards towards the north end of a magnet facing upwards. What direction will the induced current be according to Lenz's Law? (Assume the system is viewed from the top-down.)
Humans typically hear sounds up to 20,000 Hz while dogs hear sounds up to 65,000 Hz. Write a sine function modeling the vibration of the highest frequency of sound that a dog hears.
10 pts What is the amount of potential energy (in Joules ) in the system between a 0.30kg ball and the earth when the ball is at a height of 7.8m above the ground?
A baseball player hits the baseball with a force of 200 N. The mass of the baseball is 0.02 kg. What is the baseball's acceleration? Given: Substitute and work: Formula Answer:
Metric conversion with decimal values: Two-step problem A watermelon seed is 4mm long. How far would a line of 126 watermelon seeds stretch? Write your answer in meters. m
After rolling the first ball of a frame in a game of 10-pin bowling, how many different pin configurations can remain (assuming all configurations are physically possible)?
Magnets A and B are attracting the same metal ball. The forces in which they attract the ball are represented by vectors vec (a) and vec (b), respectively.
A gardener found that he was able to plant (1)/(4) of a packet of flower seeds in (1)/(5) of a garden. At this rate, how much of the garden would he cover with the entire packet of seeds? A (1)/(20) B (4)/(5) C (5)/(4) D (9)/(2)
Given that I_(0)=10^(-12) (watts )/(meter ), what is the intensity of a sound for which the decibel level of the sound measures 105 ? Round off your answer to three decima places.
Using Ampere's Law, predict the current needed to flow along a straight wire to create a magnetic field of strength 0.01 T a distance 1 cm away from the wire. (Hint: It's kinda scary.) Round to the nearest one's place. Ensure your answer was calculated using standard units.
An oscillating mass-spring system takes 0.75 sec to begin repeating its motion. Find the period, frequency in cycles/ sec, and angular frequency in radians/ sec.
With what minimum speed must he drive off the horizontal ramp? The vertical height of the ramp is 1.5 m above the cars and the horizontal distance he must clear is 22 m
At Montwood Middle School, 3/5 of the students play an instrument. Of the students who play an instrument, 1/2 play a string instrument. How many students at Montwood Middle School play a string instrument?
So far this baseball season, you have 12 hits out of 60 at-bats. a. What is your current batting average? b. How many consecutive hits do you need to raise your batting average to 0.360?
Question #5 The crew decide to travel back in time to find some whales and bring them to the 23rd century. Is time travel possible? They attempted time travel by going very fast and using the sun to change their course. Is there any chance this could work?
For her show "Outfront," Jashanna can air 2 segments. If she has 6 segments to select from, in how many ways can she arrange the segments for her show?
A tow truck is used to pull another car with a constant force of 6600 N. If the combined mass of the truck and the car is 220 kg, what is the magnitude of the acceleration of the truck?
Use the drop-down menus to complete each ser In section A, speed is as time is increasing In section B, speed is as time is increasing In section C_(; ) speed is as time is increasing. In section D_(1), speed is as time is increasing.
A 200-gram cookie is left in a tin can up in the attic. Each day the Wobbly roach beast eats (1/2) of the remaining cookie. How much of the cookie remains after n days?
If a roof has a 5:12 pitch and the roof is 172 horizontally from the ridge to the edge, what is the height of the roof from the lowest point to the highest point?
Mr. Cho's physics class went to the football field to launch a rocket into the air. The rocket's height in feet, f(x), depends on the number of seconds, x, that have elapsed since launch.
The frequency, measured in Hertz, of a vibrating guitar string varies directly with its length. Suppose a guitar string 0.75 meters long vibrates at 4.5 Hz. What frequency would a string 0.5 meters long have?
Salma has a toy car collection of 400 toy cars. She keeps 216 of the toy cars on her wall. What percentage of Salma's toy car collection does she keep on her wall?
Two planes travel toward each other from cities that are about 1220 km apart at rates of 320 km/h and 290 km/h. They started at the same time. In how many hours will they meet?
Danielle's bird feeder holds 3/4 cup of birdseed. She is filling the bird feeder with a scoop that holds 1/8 of a cup. Write a comparison of cups of birdseed to scoops of birdseed as a ratio in simplest terms.
John (J) is 5 years older than his sister Mary (M) who is 2 years younger than her brother Paul (P). If J,M and P denote their ages, which one of the following represents the given information?
When light with a wavelength of 652 nm uniformly illuminates a single slit of width 0.320 mm, the light forms a diffraction pattern 8 m away. Determine the width of the central bright fringe.
A wave is incident with a boundary at an angle of 35 degrees with respect to the normal line. If the wave was traveling at 55 m/s and slows down to 35 m/s in the new material, what is the new direction of travel?
Vector A has a magnitude of 29.4 meters and is at an angle of 25.1 degrees. The degree has a magnitude of 45.3 meters and is at an angle of 45.3 degrees. What are the x and y components of vector A
Water is passed through a pipe containing porous material to filter out pollutants. Each inch of pipe removes 50% of the pollutant entering. (b) What length of pipe is needed to remove all but 10% of the pollutants?
The formula for gravitational force between two objects is F = (GmM)/(r^2), where m and M are the masses of the objects and r is the distance between them. Rearrange the formula to solve for M.
An electric motor powers a conveyor belt used to move boxes across a warehouse. The motor produces a force of 700N and moves the belt at a rate of 2.0m per second. Calculate the power output of the motor
Jaquan passed a checkpoint jogging at a constant speed of 9 km/h. Then, 22 minutes later, Odalis passed the same checkpoint.
[-14.54 Points] DETAILS AUFINTERALG 9 6.7.008. The distance d that a spring will stretch varies directly as the force f applied to the spring. If a force of 6 lb is required to stretch the spring 3 in, what force is required to stretch the spring f = lb?
Your answer is incorrect. The forest covers an area of 2900 km². Suppose that each year this area decreases by 9%. What will the area be after a calculator is provided and round your answer to the nearest square kilometer? 1.20 km².
A string running from the ground to the top of a fence has an angle of elevation of 45°. The string is 12 feet long. What is the distance between the fence and where the string is pegged to the ground?
A piston with a diameter of 0.8 inches is being pushed with a force of 250 lbs. The hydraulic pressure created is acting on a second piston with a diameter of 1.5 inches. What is the output force of the second piston?
John's decided to find out how far his pet frog can jump in three jumps. His frog jumped a Test total of 6(3)/(5) feet. If each jump goes an equal distance, how far is each jump?
A piston with a diameter of 1.90 inches is being pushed with a force of 150 lbs. The hydraulic pressure created is acting on a second piston with a surface area of 0.5 square inches. What is the approximate output force of the second piston?
A 1 square inch piston is being pushed with a force of 200 lbs. The hydraulic pressure created is acting on a second piston with a surface area of 2 square inches. What is the output force of the second piston?
A rectangular block has square ends. Its lateral edges are three cm greater than the dimension of the square end. If the total surface area is 210 square cm, what is the area of one square end?
On a typical day at Limestone College, (3)/(5) of all students ride a bicycle to class. Among the rest of the students, (1)/(3) ride the bus and (1)/(6) walk. On a typical day, what fraction of the students ride the bus to class?
An unknown liquid is poured into the left side of a U-shaped tube that has been partially filled with water. The height hâ‚ is measured to be 82 mm and the height hâ‚‚ is measured to be 64 mm. What is the density of the unknown liquid?
Rochelle flips a quarter and tosses a number cube. The number cube has faces numbered 1 through 6. What is the probability that the quarter will land on tails and the number cube will land on 1 ?
Two cars leave the same parking lot, with one heading north and the other heading east. After several minutes, the eastbound car has traveled 12 kilometers. If the two cars are nov
A Boat traveled 110 kilometers each way downstream and back. The trip downstream took 5 hours, The trip back took 55 hours. What is the speed of the boat in still water? What is the speed of the current?
The gas pressure in a chamber varies directly with the temperature in the chamber. If the pressure in the chamber is 150 atmospheres (atm ) when the chamber is at 200 K, what is the pressure in the chamber when the temperature of the chamber is 300 K?
Two pulleys, one with radius 4 inches and one with radius 8 inches, are connected by a belt. If the 4-inch pulley is caused to rotate at 7 revolutions per minute, determine the revolutions per minute of the 8-inch pulley.
An arc that lies between two lines, rays, or segments is called a(n) arc.
At a height of 100 meters, the rock's height can be represented by the function h(t) = -4.9t^2 + 100, where t represents time in seconds and h(t) represents the height in meters.
Draw the angle and then find the reference angle to 436°.
Regarding the following scenario: A 145-g ball was thrown upward from the ground into the air at an initial velocity of 7.2 m/s. The ball reached a maximum height of 2.64m. What was the potential energy when the ball reached the maximum height?
The ratio of apple juice to cranberry juice in a punch is 3:9. Which ratio is equivalent to 3:9 ?
Regarding the following scenario: A 145-g ball was thrown upward from the ground into the air at an initial velocity of 7.2 m/s. The ball reached a maximum height of 2.64m. What was the kinetic engeryimmediately after it was thrown?
What is the minimum separation of 2 small sources of red lights on Earth that you can resolve by eye when you are flying 3.0 km above the ground? Assume the light's wavelength in air is 633 nm, the index of refraction inside the eye is 1.333, and a pupil diameter of 4.00 mm.
The object reaches its high point for the second time at t
An object was thrown with a. velocity of 4.3 m/s. If the kinetic energy of the object was 225 J. what was the mass of the object?
The following wave is made on a 12m string. What is the wavelength of the wave?
A young man heaves a 6.5 kg rock at a velocity of 6.9 m/s. What is the kinetic energy of the rock?
Write down the equation that describes the relationship between pressure, velocity, height, and other relevant terms corresponding to states 1 and 2 of this problem. Cross out terms that are negligible. Determine the average velocity of the flow in the pipe in (m/s). You do not need to use the…
The tent above has a volume of 135 ft³. What is the height of the tent (h)?
Suppose a hydrometer having a density of 0.750 g/mL floats in a liquid with 90.5% of its volume submerged. Find the density of the fluid, in kilograms per cubic meter.
A 61 kg skateboarder is moving down a ramp that has the shape of a semi-circle. The radius of the curve is 7.0 m. At the bottom of the ramp the skateboarder has gained 1.9 * 10 ^ 3 * J of kinetic energy. What is the skateboarder's approximate speed at the bottom of the ramp?
What is the thinnest possible layer thickness of diamond (n=2.42) that would form an antireflective coating on glass for yellow light (lambda = 650nm)? Please show all steps, including formula rearrangements!
Knowledge Check: Plotting Complex Numbers in the Complex Plane
If mass m= 3 Kg and acceleration a=5( m)/(s^(2.)) Find the equation that represents the situation.
You are on a ship using single beam echo sounding, which emits a ping (a sound). It takes 4 seconds before you hear the echo of that ping. Approximately how deep is the ocean below your boat? Remember, the speed of sound in seawater (V) is 1560 m/s and Depth = V(t/2).
ind the magnitude of the vector. Write your answer in simplified fol
When dropping a ball (mass = 10 kg) from a height of 2 m, what will be the velocity of the ball at the point of impact with the ground?
Calculate the amount of work done if you use a 100N force to push a 50kg box 5m
The amount y (in gallons ) of gasoline remaining in a gas tank after driving x hours
an arts camp is $250. If the activity fee increases by 20%, what will be the new activity
If an exponential function were to show decay by 14%, what would be the b-value that we multiply?
Find the temperature in (K) if the density is 4.37( g)/(L) at 97.4 kPa with a molar mass of 104.09( g)/(mol )? DRT = MP
The equation for the stated problem is Solve A=H(1+√r) for s. (Simplify your answer.)
A force of 150N is applied to an object, resulting in a displacement of 3m. Determine the work that was done.
On 24 Session 2: The mass of a crystal is 0.49 kg. a. Write 0.49 as a fraction. Show your work.
If a force of 6 newtons in strength is applied to an object of 4.5 kilograms, what will be the object's acceleration?
A solid block of mass m2 = 1.86 kg, at rest on a horizontal frictionless surface, is connected to a relaxed spring (with spring constant k = 58.1 N/m whose other end is fixed. Another solid block of mass m1 = 1.69 kg and speed v1 = 1.70 m/s collides with the 1.86 kg block. What is the change in…
The speed of light is approximately 300,000,000 meters per second. What is 300,000,000 written in scientific notation? 300,000,000
The speed of a bike changes uniformly from 7.8 m/s to 1.5 m/s in 7.0 seconds. The acceleration of the bike is m/s^2.
Your uncle worked two night shifts. Your grandfather has the flu.
A 4.1 g object moving to the right at 22 cm/s makes an elastic head-on collision with an 8.2 g object that is initially at rest. The velocity of the 4.1 g mass after the collision is -7.33 cm/s. What fraction of the initial kinetic energy was transferred to the 8.2 g block?
A bird flies a distance of 3500 km. If the bird flies at 12 m/s, how long would this trip take?
What is the approximate escape velocity from the surface of a white dwarf star? Assume the star has a radius comparable to that of Earth, and a mass comparable to that of the sun. Compare the escape speed to the speed of light. Same question, but for a one-solar-mass neutron star with a radius…
03 – Porky Pig and Tweety Bird feel 1 g at the top of a circular roller coaster loop for a total centripetal acceleration of 2 g's. The coaster diameter is 14.7 m. How fast are they moving? 04 – Elmer Fudd and Sylvester the Cat twirl a 50 cm long sling 120 times in 10 seconds. Determine the…
01 – Bugs drives a race car at 180 km/h around a flat circular track of radius 90 m. Determine the centripetal acceleration of the car. 02 – Daffy Duck drives a cycle with centripetal acceleration of 19.6 m/s² around a flat circular curve of radius 0.245 km. Determine the speed of the…
9. If the electrical force of repulsion between two 1-C charges is 10 N, how far apart are they? [30000 m]
A car moves at constant speed around a curve with a radius of 55.0 m, banked at an angle of 20° above the horizontal. (a) (20 points) If the mass of the car is 1380 kg and the car is moving with a constant speed of 18.5 m/5, what is the centripetal force of the car?
A container measuring 5m by 4m by 3m is completely filled with petrol. What is the volume of petrol in the container?
Given the point in polar coordinates, find two other polar coordinate representations with
Find the angular speed of a fan blade that turns one revolution every 0.28 seconds.
(i) absolute maximum value absolute minimum value local maximum value (s) local minimum value (s)
a cheetah runs at a speed of 72 miles per hour for 30 minutes. how far did it travel
The natural frequency of a flute is 350Hz. What is the frequency of the 4th harmonic frequency of the flute?
Element X decays radioactively with a half-life of 8 minutes. If there are 270 grams initially, how many grams will remain after 8 minutes?
A cylinder's radius and height are both 4 cm. what is the Lateral surface?
My classmates and I will each eat exactly two-thirds of a Chocolate cupcake. There are
Consider an oil film (n = 1.50) on water (n = 1.33) and 600. nm incident light. The maximum film thickness for constructive interference is
A jogger moves from a position x = 15.0 m to a position of x = 6.00 m in 4.00 s. What was her average velocity? (Unit) = (m/s)
if the potential difference between two points is 110 V how much energy is expended to bring 10 mC from one point to the other?
After the brake was applied, a bicycle wheel went through 5.25 rotations. Through how many radians did a spoke rotate?
The ratio of workers on task to workers on their phones was 5 to 3. The work force is made up of 88 workers. How many were on their phones?
How much of a radioactive kind of neodymium will be left after 33 days if the half-life is 11 days and you start with 80 grams?
George, a human cannonball, is shot from a cannon. His height, in meters, after launch is given by the equation h(t) = -2.1t^2 + 25.3t + 22. What is his height at t = 7s? 96.20m. Round to two decimal places.
You kick a ball across the park with an initial velocity of 64 feet per second. The standard form equation you would use to analyze the situation is:
(Use the Work – Kinetic Energy Theorem to solve this problem) A 20.0 kg block starts from rest at the top of a 10.0 meter long ramp that makes angle of 36.9 degrees with the horizontal. As the block slides down the ramp, a frictional force of 15.0 N acts on the block. Find the speed of the…
How much work is done on a small car if a 3150 N force is exerted to move it 75.5 m to the side of the road?
Block A is stationary on a frictionless surface. Block B moving with a velocity of 6.00 m/s makes a one-dimensional head-on collision with Block A and the two blocks stick and move together with a velocity of 30.0 m/s. The mass of block B is 125.0 kg. Find the mass of block A
100kg boulder falls from a cliff and gains 15600 joules of potential energy, how high is the cliff?
Question 9 (45 marks ) The circle s_(1) has centre C(5,3) and radius 5 . (a) Find the equation of the circle s_(1).
A flywheel accelerates from an initial rotation velocity of 20.0 revolutions per minute to a final rotational velocity of 40.0 revolutions per minute in 12.0 s. Find: a) its angular acceleration b) the number of revolutions that the flywheel makes during this time.
(iii ) Hence use your answers to parts (b)(ii) above to find the area of the triangle ABC.
A piece of sheet metal of uniform mass per unit area is cut into a shape and placed in the x-y plane. The edges are all straight lines connecting the following sequence of points: (0, 0), (1.2, 0),(1.2, 1.4), (.7 , .8), (0, .8), and back to (0, 0). all measurements are in meters. Where is the…
a) Calculate the maximum wave-induced horizontal drag force on a 1.2m diameter sphere held at 3m below the mean water level in water 12m deep. The waves have a length of 45m and a height of 1.5m. Take CD as 0.7. b) Explain why the lift force may be more important than drag or inertia forces in…
Which coordinate rule shows what happens to (x,y) after a dilation by a scale factor of 6 about the origin?
a solenoid 2500 turn and a diameter of 10 cm and a length of 20 cm. if the current varies from 0-10 A how much energy is stored in the magnetic field of the solenoid
Suppose it takes John 43 minutes to run 4 miles. How long would it take him to run 6 kilometers?
A camera lens magnifies an object 10^(3) times. The length of an object is 10^(-4) centimeter. What is its magnified length? y
A metal rod 76 cm long is laid out along the x-axis, from the origin to the point x=76 cm. The mass per unit length of the rod is given by the function A=5.00 + 0.05x, g/cm. a) What is the mass of the rod, in grams? b) Where is the center of mass of the rod?
A book sack has a mass of 5kg. What is its weight on Earth? Given: Substitute and work: Formula Answer:
An object with mass 1000 kg accelerates at 3 m/s^2 in a northern direction. Calculate the net force that causes this acceleration.
How many quarts of water should be mixed with 1(1)/(4) cups lemonade concentrate to make the same lemonade?
Jane walks 1.5km every day. How far does she walk in 7 days? Write your answer in meters.
A molecule of mass M is moving to the right at a speed of 2000 m/sec when it collides head on with a molecule of mass 5M initially at rest. The collision is elastic. After colliding, both molecules are moving along the same line. What is the velocity of both molecules after the collision?
A radioactive element has decayed to( 1)/(32) of its original concentration in 2 hrs. What is the half-life of this element?
Please answer! You just showed that any function f(x,t) where position is linked with time as x-ct satisfies the wave equation. Explain how the relationship x-ct leads to something which travels.
A solid glass paperweight has a mass of 500 grams. The glass has a density of 3.5 g/cm³. The paperweight is a hemisphere. Find x.
A 4.43 kg block of wood is sitting at rest on a level, frictionless surface. An 8.21 gram bullet is fired horizontally into the block and embeds itself in it. Immediately after impact, the block with the bullet in it slides along the surface with a speed of 1.77 m/sec. What was the initial…
2. A horizontal linear conductor of mass 15 grams and length 100 cm is introduced in a homogeneous vertical magnetic field of 1.5 T. The conductor is suspended on two thin and long wires. Through what angle are the wires going to deflect if a current of 1A is drawn through the conductor? (5…
Mr. Hall bought 3 kg of screws for a building project. They were priced at $2.50 per kilogram. How much did Mr. Hall pay?
An AC generator produces 10V when the coil rotates at 500 RPM. Find the EMF when the coil is made to rotate at 1500 RPM.
If 50 grams of iron are produced by this reaction, how many grams of carbon dioxide are also produced?
what happens if their is an equation that you cant solve but some of the equation you can
points Part 1 of 2 line through (-15,-1) and (-8,34). indicate whether the line through the points rises fro
(8%) Problem 7: Suppose there is an astronaut who is traveling at a significant fraction of the speed of light. Randomized Variables d = 4.05 ly v = 0.88315 c
A 20 kg mass has a kinetic energy of 1690 joules. a) What is the speed of the object? b) What is the magnitude of the linear momentum of the object?
The length of a string is 0.8m. Waves travel down the string at a speed of 10(m)/(s). What is the natural frequency of the string?
1) A 6.35 mm high pushpin sits upright in front of a converging lens at a distance of 34.1 cm. If the magnitude of the height of the inverted image is 3.66 mm, what is the focal length of the lens in cm?2) A small statuette sits at a distance of 13.0 cm from a converging lens with a focal…
7. A rigid body rotates with angular velocity w about the line x=y=z. Find the speed of a particle at the point (1,2,2)
Hello, please kindly help me with the Physics. How can I prove that the final temperature is 0? Also, what is the mass of the melted ice? Thanks a lot! Ex 2: Half a liter of water at T = 20°C is in an insulated container (thermos). 500 grams of ice are added to it at an initial temperature of…
NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.A crate of mass 100 kg is held in the position shown. If the man accidently drops the right end of the crate and surface between the crate and the horizontal surface is smooth,…
How long after the release of the first stone does the second stone hit the water?
What is the radius of a hemisphere with a volume of 66 cm³, to the nearest tenth of a centimeter? Answer: cm Submit Answer attempt 1 out of 2
A vector is 24.6 m long and makes an angle of 60.0° counterclockwise from the y-axis (on the side of the -x-axis).
The complex solid is made of a material that costs $0.15 per cubic centimeter. What does it cost to make the solid?
Find the momentum for a 2.6 kg brick parachuting straight downward at a constant speed of 9.0 m/s.
Waves of period 6 seconds and height 2.5m are propagating in water 10m deep. What is their wavelength, power per metre of crest and breaking height? Are these waves deep, intermediate or shallow?
A single AC source with a peak voltage of 22.56 V and an operational angular frequency of 67.9 rad/s powers a circuit with a single 321 μF capacitor. Determine the peak value of the current in this circuit.
A windowpane is 8 inches by 5 inches. What is the distance between opposite corners of the windowpane? If necessary, round to the nearest tenth.
How do you solve the distortion of a square wave centered around the origin and bounded at its ends? Please answer within 30 minutes. I will give a thumbs up.
A charge (q) produces a uniform electric field from the center of the circle with radius r=3m. Calculate the electric flux.
a) Specific heat of helium at a constant volume, c_v, is 3123 J/(kgK). What is the specific gas constant, 'R', and the specific heat at constant pressure, c_p, of helium? b) Temperature = 25°C, pressure = 1123 hPa. The airship is at equilibrium with the atmosphere before flying. What is the…
a 1500 kg car accelerates from rest with a propulsion force described by the equation F(x) = -50x + 10000. What is the car's speed after traveling 200m
A runaway truck with failed brakes is moving at 35 m/s just before the driver steers the truck up an emergency ramp with an inclination of 15°. The truck's mass is 1.2 x 10^4 kg. What minimum length must the ramp have to stop the truck if the coefficient of kinetic friction between the truck…
Question 1 of 10 If you vertically compress the absolute value parent function, f(x)=|x|, by a factor of 4 , what is the equation of the new function?
A +8nC charge is located 80 mm to the right of a +4nC charge. Determine the electric field at the midpoint of a line joining the two charges.
A sofa comes in two styles. Customers choose among 4 fabrics and 5 colors. How many sofa configurations are there?
The axis of symmetry is the imaginary line that goes through the vertex of a parabola and splits it into mirrored halves.
A catalog of scientific equipment states that the lens of a particular telescope has an area of 3.14 square meters. What is the lens's diameter?
Light of wavelength 589 nm is incident on a pair of slits 1.5 μm apart. A screen is placed 2.0m beyond the slits. What are the locations of the 1st and 2nd bright fringes relative to the center of the screen?
The height above the ground after x seconds of a ball dropped from the balcony of a stadium that is 25m off the ground.
Three point charges are placed on the x-axis. q^(1) = 5μC is at x = 0, q^(2) = 10μC is at x = 5m, and q^(3) is at x = 10m. If the electric field at point x = 2.5m is zero, how many coulombs of charge is q_(3)?
The line given by -6x - 4y = -8 is dilated by a scale factor of k = 5, centered at the origin. What is an equation of the image of the line after dilation?
Boris is riding his bicycle. He rides at a speed of 7 kilometers per hour for 11.2 kilometers. For how many hours does he ride?
a) What is the mechanical advantage of a nail puller when you exert a force 25 cm from the pivot, and the nail is 1.6 cm on the other side? b) What minimum force must you exert to apply a force of 940 N to the nail?
(b) Another ship sails from port P to port Q. It then sails from port Q to port R before returning to port P. (i) Find angle RPQ.
Incorrect 2 tries left. Please try again. Drag to show which of the given values are solutions of the inequality -15 ≥ (n)/(-3). Solution: 45, 40.
θ - Ms. Saturn compresses a spring 80 cm using 200 lbs of force. Determine the spring constant (stiffness) in N/m. She then uses the spring in a cylinder to fire a 150 g baseball with a launch angle of [East 45° Up] from an initial height of 1.5 m. Determine how far away the baseball will…
A 9.76 mm high pushpin sits upright in front of a converging lens at a distance of 32.3 cm. If the magnitude of the height of the inverted image is 4.51 mm, what is the focal length of the lens in cm?
Characteristic x-rays emitted by germanium have a wavelength of 0.113 nm. What is the energy of one of these x-ray photons? ___ keV
A small statuette sits at a distance of 4.1 cm from a converging lens with a focal length of 27.5 cm. Determine the magnification of the object's image.
1) A 1.37 cm tall object is placed 22.9 cm in front of the vertex of a concave spherical mirror with a radius of curvature of magnitude 35.2 cm. Determine the magnitude of the image height in cm.2) A concave spherical mirror has a radius of curvature of 16.0 cm. If a REAL image of an object…
An object was pushed across the floor with a force of 150 N, resulting in 6000 J of work. Determine the distance that the object was pushed.
A concave spherical mirror has a radius of curvature of 31.0 cm. If a REAL image of an object appears 23.3 cm from the vertex of the mirror, how far (in cm) is the object from the vertex?
An object 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? a. 10 cm b. 1.0 mm c. 1.7 cm d. 3.5 mm e. 2.0 mm (wrong)
A mass of 129. grams moves with a velocity of 15.0 m/s at 55.5 degrees. What is the velocity of a second mass (m2 = 239. grams) to have the total momentum for the system of masses to be zero?
What is the positive difference between the given values of average distance from the Sun for Mars and for Mercury?
The half-life of a radioactive kind of thallium is 5 minutes. How much will be left after 20 minutes, if you start with 933,392 grams of it? grams
Ms. Vulcan has a mass of 50 kg and Mr. X weighs 187 lbs. Together, they hang from a bungee cord of stiffness 75 N/m. a) If they are at rest and at the equilibrium position, then determine how much the bungee cord has been stretched. b) If they currently have an instantaneous acceleration of…
An object is placed 32.0 cm in front of the vertex of a concave spherical mirror with a radius of curvature of magnitude 20.8 cm. Determine the image distance in cm from the vertex.
A rock of radioactive material has 500 atoms in it. The number of atoms decreases at a rate of 11% a day. Write an exponential function that models this situation.
If you travel at a speed of 30 mph to your destination, and then return at a speed of 90 mph, what is your average speed for the round trip?
The radioactive gas radon has a half-life of approximately 3.5 days. About how much of a 100g ample will remain after one week?
How to Convert Mass The worldwide average weight of an adult is approximately 137 lbs. What is the worldwide average weight of an adult, in kilograms? Solution: (x)/(137 lbs) = (0.454 kg)/(11 b)
Find the kinetic energy (in keV) of a Carbon atom that has 12 as the atomic number and a mass of 12.0u, whose speed is 6 * 10^6 (m/s). What is the solution in MeV?
Given the area of the field is 5100m², calculate the cost of fencing the field if the cost of the mesh wire used is RM20 per meter.
The formula F= ma shows the relationship between force, mass, and acceleration. Solve this formula for a. a=F+m a=F-m a=Fm a=(F)/(m) Question 5 (Multiple Choice Worth 1 points ) (01.06 MC)
The ball is thrown horizontally from a 20 m high balcony. It falls to the ground at a distance of 30 m from the balcony. What initial speed did we give it?
According to Newton's Law of Cooling, the temperature of the coffee after time t is given by T(t) = 20 + 74e^(-t/51). What is the average temperature of the coffee during the first 14 minutes?
If the dwell time is 50ms, estimate the mapping time (512 x 512 pixel).
Two neutrons are attracted to each other by gravitation alone, since they have no charge. Determine the energy of the gravitationally bound two-neutron "molecule" in the following manner. Replace the Coulombic potential in the derivation of the Bohr atom with the gravitational potential, U(r) =…
Four pipes of radius 7cm are to be replaced by a single pipe which can discharge the same amount of water. Find the radius of the single pipe.
A uniform 2.0 T magnetic field passes through a circular loop with a radius of 0.2 m that has 4 turns. Calculate the flux through the loop.
When John drives a car on the highway it goes 198 kilometers on 3 liters of gasoline. Which of the following expresses this rate as a ratio? Select all correct answers.
Find the conversion factor, the value (with units) that you multiply a number by, that converts a value in miles to kilometers. Find the conversion factor that converts a value in kilometers to meters. Find the conversion factor that converts a value in hours to seconds. Use the above results…
At what distance above the surface of the earth is the acceleration due to the earth's gravity 0.600 m/s2 if the acceleration due to gravity at the surface has magnitude 9.80 m/s2?
car mass is 1250 kg, and diameter of the wheels are 60 cm. Initial angular velocity is 880 RPM. car is brought to a stop in 9.0 s. how far the car goes before it stops?
A mirror forms a real image at 41.6 cm from the mirror surface along the principal axis. If the corresponding object is at a 12.7 cm distance, what is the mirror's focal length?
A coil is moved downwards towards the north end of a magnet facing upwards. What direction will the induced current be according to Lenz's Law? (Assume the system is viewed from the top-down.)
Humans typically hear sounds up to 20,000 Hz while dogs hear sounds up to 65,000 Hz. Write a sine function modeling the vibration of the highest frequency of sound that a dog hears.
10 pts What is the amount of potential energy (in Joules ) in the system between a 0.30kg ball and the earth when the ball is at a height of 7.8m above the ground?
A baseball player hits the baseball with a force of 200 N. The mass of the baseball is 0.02 kg. What is the baseball's acceleration? Given: Substitute and work: Formula Answer:
Metric conversion with decimal values: Two-step problem A watermelon seed is 4mm long. How far would a line of 126 watermelon seeds stretch? Write your answer in meters. m
After rolling the first ball of a frame in a game of 10-pin bowling, how many different pin configurations can remain (assuming all configurations are physically possible)?
Magnets A and B are attracting the same metal ball. The forces in which they attract the ball are represented by vectors vec (a) and vec (b), respectively.
A gardener found that he was able to plant (1)/(4) of a packet of flower seeds in (1)/(5) of a garden. At this rate, how much of the garden would he cover with the entire packet of seeds? A (1)/(20) B (4)/(5) C (5)/(4) D (9)/(2)
Given that I_(0)=10^(-12) (watts )/(meter ), what is the intensity of a sound for which the decibel level of the sound measures 105 ? Round off your answer to three decima places.
Using Ampere's Law, predict the current needed to flow along a straight wire to create a magnetic field of strength 0.01 T a distance 1 cm away from the wire. (Hint: It's kinda scary.) Round to the nearest one's place. Ensure your answer was calculated using standard units.
An oscillating mass-spring system takes 0.75 sec to begin repeating its motion. Find the period, frequency in cycles/ sec, and angular frequency in radians/ sec.
With what minimum speed must he drive off the horizontal ramp? The vertical height of the ramp is 1.5 m above the cars and the horizontal distance he must clear is 22 m
At Montwood Middle School, 3/5 of the students play an instrument. Of the students who play an instrument, 1/2 play a string instrument. How many students at Montwood Middle School play a string instrument?
So far this baseball season, you have 12 hits out of 60 at-bats. a. What is your current batting average? b. How many consecutive hits do you need to raise your batting average to 0.360?
Question #5 The crew decide to travel back in time to find some whales and bring them to the 23rd century. Is time travel possible? They attempted time travel by going very fast and using the sun to change their course. Is there any chance this could work?
For her show "Outfront," Jashanna can air 2 segments. If she has 6 segments to select from, in how many ways can she arrange the segments for her show?
A tow truck is used to pull another car with a constant force of 6600 N. If the combined mass of the truck and the car is 220 kg, what is the magnitude of the acceleration of the truck?
Use the drop-down menus to complete each ser In section A, speed is as time is increasing In section B, speed is as time is increasing In section C_(; ) speed is as time is increasing. In section D_(1), speed is as time is increasing.
A 200-gram cookie is left in a tin can up in the attic. Each day the Wobbly roach beast eats (1/2) of the remaining cookie. How much of the cookie remains after n days?
If a roof has a 5:12 pitch and the roof is 172 horizontally from the ridge to the edge, what is the height of the roof from the lowest point to the highest point?
Mr. Cho's physics class went to the football field to launch a rocket into the air. The rocket's height in feet, f(x), depends on the number of seconds, x, that have elapsed since launch.
The frequency, measured in Hertz, of a vibrating guitar string varies directly with its length. Suppose a guitar string 0.75 meters long vibrates at 4.5 Hz. What frequency would a string 0.5 meters long have?
Salma has a toy car collection of 400 toy cars. She keeps 216 of the toy cars on her wall. What percentage of Salma's toy car collection does she keep on her wall?
Two planes travel toward each other from cities that are about 1220 km apart at rates of 320 km/h and 290 km/h. They started at the same time. In how many hours will they meet?
Danielle's bird feeder holds 3/4 cup of birdseed. She is filling the bird feeder with a scoop that holds 1/8 of a cup. Write a comparison of cups of birdseed to scoops of birdseed as a ratio in simplest terms.
John (J) is 5 years older than his sister Mary (M) who is 2 years younger than her brother Paul (P). If J,M and P denote their ages, which one of the following represents the given information?
When light with a wavelength of 652 nm uniformly illuminates a single slit of width 0.320 mm, the light forms a diffraction pattern 8 m away. Determine the width of the central bright fringe.
A wave is incident with a boundary at an angle of 35 degrees with respect to the normal line. If the wave was traveling at 55 m/s and slows down to 35 m/s in the new material, what is the new direction of travel?
Vector A has a magnitude of 29.4 meters and is at an angle of 25.1 degrees. The degree has a magnitude of 45.3 meters and is at an angle of 45.3 degrees. What are the x and y components of vector A
Water is passed through a pipe containing porous material to filter out pollutants. Each inch of pipe removes 50% of the pollutant entering. (b) What length of pipe is needed to remove all but 10% of the pollutants?
The formula for gravitational force between two objects is F = (GmM)/(r^2), where m and M are the masses of the objects and r is the distance between them. Rearrange the formula to solve for M.
An electric motor powers a conveyor belt used to move boxes across a warehouse. The motor produces a force of 700N and moves the belt at a rate of 2.0m per second. Calculate the power output of the motor
[-14.54 Points] DETAILS AUFINTERALG 9 6.7.008. The distance d that a spring will stretch varies directly as the force f applied to the spring. If a force of 6 lb is required to stretch the spring 3 in, what force is required to stretch the spring f = lb?
Your answer is incorrect. The forest covers an area of 2900 km². Suppose that each year this area decreases by 9%. What will the area be after a calculator is provided and round your answer to the nearest square kilometer? 1.20 km².
A string running from the ground to the top of a fence has an angle of elevation of 45°. The string is 12 feet long. What is the distance between the fence and where the string is pegged to the ground?
A piston with a diameter of 0.8 inches is being pushed with a force of 250 lbs. The hydraulic pressure created is acting on a second piston with a diameter of 1.5 inches. What is the output force of the second piston?
John's decided to find out how far his pet frog can jump in three jumps. His frog jumped a Test total of 6(3)/(5) feet. If each jump goes an equal distance, how far is each jump?
A piston with a diameter of 1.90 inches is being pushed with a force of 150 lbs. The hydraulic pressure created is acting on a second piston with a surface area of 0.5 square inches. What is the approximate output force of the second piston?
A 1 square inch piston is being pushed with a force of 200 lbs. The hydraulic pressure created is acting on a second piston with a surface area of 2 square inches. What is the output force of the second piston?
A rectangular block has square ends. Its lateral edges are three cm greater than the dimension of the square end. If the total surface area is 210 square cm, what is the area of one square end?
On a typical day at Limestone College, (3)/(5) of all students ride a bicycle to class. Among the rest of the students, (1)/(3) ride the bus and (1)/(6) walk. On a typical day, what fraction of the students ride the bus to class?
An unknown liquid is poured into the left side of a U-shaped tube that has been partially filled with water. The height hâ‚ is measured to be 82 mm and the height hâ‚‚ is measured to be 64 mm. What is the density of the unknown liquid?
Rochelle flips a quarter and tosses a number cube. The number cube has faces numbered 1 through 6. What is the probability that the quarter will land on tails and the number cube will land on 1 ?
Two cars leave the same parking lot, with one heading north and the other heading east. After several minutes, the eastbound car has traveled 12 kilometers. If the two cars are nov
A Boat traveled 110 kilometers each way downstream and back. The trip downstream took 5 hours, The trip back took 55 hours. What is the speed of the boat in still water? What is the speed of the current?
The gas pressure in a chamber varies directly with the temperature in the chamber. If the pressure in the chamber is 150 atmospheres (atm ) when the chamber is at 200 K, what is the pressure in the chamber when the temperature of the chamber is 300 K?
Two pulleys, one with radius 4 inches and one with radius 8 inches, are connected by a belt. If the 4-inch pulley is caused to rotate at 7 revolutions per minute, determine the revolutions per minute of the 8-inch pulley.
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