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Physics 101 Mechanics
October 2021
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Physics 101 Mechanics
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October 25, 2021
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October 25 of 2021
At one instant, a rock is free falling. It has a speed of 50 m/s. What is the speed in the next second? A) 40 m/s B) 60 m/s C) 50 m/s
1. If you drop a mic from 1.55m, how long does it fall in the air before it hits the ground? (report your result to 2 decimal places.)
Determine the y-component of the electric field at the origin. Give your answer in the form "+/-a.bc * 10^() N/C)", where is the unit vector along the y-axis.
Vector A has a magnitude of 2.42 m and points 23.3° north of east, while vector B has a magnitude of 6.40 m and points 29.1° south of east. Determine the magnitude of A - B.
A car is traveling at a steady speed of 87 km/h in a 50 km/h zone. A police motorcycle takes off at the instant the car passes it, accelerating at a steady 7.3 m/s^2. How much time elapses before the motorcycle is moving as fast as the car?
The average coefficient of linear expansion of copper is 17 x 10^(-6) (°C)^(-1). The Statue of Liberty is 93 m tall on a summer morning when the temperature is 25°C. Assume the copper plates covering the statue are mounted edge to edge without expansion joints and do not buckle or bind on the…
An athlete performing a long jump leaves the ground at a 28.2 ∘ angle and lands 7.71 m away. A) What was the takeoff speed? B) If this speed were increased by just 4.0%, how much longer would the jump be?
a) What is the magnitude of the force that a -5.4 µC charge exerts on an 8.2 µC charge which is located 75 cm away from the -5.4 µC charge? b) How many electrons are needed to make the -5.4 μC charge?
A speaker has a power output of 3.2 x 10^(-4) W. a) If the speaker acts as a spherical source, what is the intensity in W/m^2 at a location 3 m away? b) What is the sound level in decibels? c) At what distance from the source is the sound level in decibels equal to 45 dB?
Solve for m using the quadratic formula. Show all work. m2 – 5m -10 = 4
A sound wave with a wavelength of 1.65 m travels through 37°C air. a) What is the speed of sound for 37°C air? b) What is the frequency of the wave? c) At what temperature would the speed of sound be 335 m/s?
Two people, one in NY and one in LA, talk on the phone. They are separated by 4000 km. Assuming the signal is carried by an electromagnetic wave that travels at the speed of light in a vacuum, how long does it take the signal carrying your voice to travel that distance? (Enter answer in terms…
A small metal bead, labeled A, has a charge of 27 nC. It is touched to metal bead B, initially neutral, so that the two beads share the 27 nC charge, but not necessarily equally. When the two beads are then placed 5.0 cm apart, the force between them is 4.9×10^(-4) N. Assume that A has a…
when measuring volume in a cylinder, is measuring the height or the diameter of the cylinder more important when measuring the volume and why?
A person is driving with a speed of 65 mi/h for 3 hours. How far did he travel?
parts 1bc
Please help me with the following I am extremely confused. Thank you so very much! By choosing different values of the initial position, velocity and acceleration, answer the following questions. To end any of the runs, click on the "Reset All" button and click yes to reset all. The play…
Consider vector A with components Ax and Ay. Derive an expression, in terms of Ax and Ay, for the components of B if B satisfies the vector equation A + 4B = 3A. Express your answer in terms of Ax and Ay separated by a comma.
A 200.0-gram mass hanging from a linear spring gives it a length of 14.0 cm. When the hanging mass is increased to 350.0 grams, the length becomes 17.0 cm. Find (a) the spring constant and (b) its no-load length. (c) Calculate the energy stored in it when it is 17.0 cm long. (d) Find the…
A stick of length 5 cm has charged globes on either end, one charged to 17 μC, while the other one is charged to -5 μC. The rod is placed perpendicular to a 850 N/C field. 3. How much torque does it feel? ___(N)(m) Need help on last question.
A cup of coffee whose temperature is 190 ° F is placed in a room whose temperature is 65 ° F. Two minutes later the coffee temperature is 175 ° F. After how long will the coffee temperature be 150 ° F?
How much mass has a rest energy of 970 J? (Please show all work. Thank-you!)
The membrane protein bacteriorhodopsin, which contains seven transmembrane alpha helices, was attached by its N-terminal to a glass slide, and the C-terminal was electronically linked to a magnetic force microscope. The microscope tip was then pulled away from the slide, exerting a force of 300…
Sukey is riding her bicycle on a path when she comes around a corner and sees that a fallen tree is blocking the way 42 m ahead. If the coefficient of friction between her bicycle's tires and the gravel path is 0.36 and she is traveling at 29.0 km/h, how much stopping distance will she require?…
Consider two concentric conducting spheres. The inner sphere (sphere 1) is solid with a radius R1 = 8.8 cm and carries a charge of Q1 = -4 μC. The outer sphere (sphere 2) is hollow with an inner radius R2 = 28.8 cm and an outer radius R3 = 33.5 cm and carries a charge of Q2 = 7 μC. What is…
Evaluate the given integral by changing to polar coordinates. ∫∫10(r cosθ + r sinθ) r dr dθ where R is the region that lies to the left of the y-axis between the circles r^2 = 1 and r^2 = 9. R
(a) What voltage must be applied to an 8.00 nF capacitor to store 0.320 mC of charge? (b) Find the capacitance of a parallel plate capacitor having plates of area 5.00 m^2 that are separated by 0.100 mm of paper. (Answer in microfarads) (c) What is the potential 0.530 angstroms away from a…
The rotor is moving at 860 rpm. Enter the value of the angular acceleration in rad/s^2
Blocks A and B are connected by an inextensible cable, as shown in the figure below. Assume that the radius of the pulley is small compared to the other dimensions of the problem. Block A moves along a horizontal path, and block B moves along a vertical path. At the instant shown, B is moving…
10.) Using a large conical megaphone would make your voice louder because of... a) Resonance b) Impedance Matching c) Stabilization d) Diffraction e) Refraction
In a series RL circuit, L = 3.0 H, and in another series RC circuit, C = 3.00 uF, and the time constants of these two circuits are equal. If the resistances in the two circuits are equal, what is the value of the resistance?
I have obtained the same graphs and data for four different gases, such as hydrogen, oxygen, and helium from Boyle’s law lab. I wanted to ask why it is the reason that my results are the same? and does this experiment confirm the Boyle’s law? please explain
a) An egg crate is placed in the truck bed that moves on a winding road. Since the static friction coefficient between the truck bed and the egg crate is 0.6, how fast should the truck turn around the 35-meter radius bend so that the egg crate does not slip out of the truck bed? b) What is the…
15.) A sound wave is observed to have a wavelength of 20 cm in air at room temperature, what is the frequency of this wave? a) 17.15 Hz b) 1715 Hz c) 68.6 Hz d) 6860 Hz e) 0.0006 Hz
A skier descends a slope of θ = 30° at a constant speed of v = 15 m/s. His total mass is m = 80 kg. How much snow melts beneath his skis in τ = 1 min, if the latent heat of fusion of snow is L = 340 J/g and it is assumed that all the friction goes into melting snow?
17.) An object is vibrating with a frequency of 10 Hz, what is its period? a) 20 s b) 10 s c) 0.2 s d) 0.1 s e) Not enough information
18.). A new rocket is able to reach a speed of 5000 m/s. What would this speed be, written as a Mach number? a) 2.2 b) 17.9 c) 5.1 d) 11.3 e) 14.6
An object of mass 200 g is released at rest from the apex of the inclined plane. Since it travels 120 cm in the first three seconds, what is the tilt angle of the inclined plane?
6.) A non-rotating, sliding pool ball collides with a stationary pool ball, how much energy does the first ball retain after the collision? a) 0% b) 25% c) 50% d) 100% e) Need to know mass of pool ball
Imagine a blackbody with a surface temperature of 228 K and a radius of 5 m. How many watts is the object radiating?
In the horizontal plane without friction, the ball of mass m1 = 1 kg hits the ball of mass m2 = 2 kg which is coming to a stop at 10 m/s. After the collision, the ball m1 scatters at an angle of 60°, while the ball m2 scatters at an angle of 37°. What is the final velocity of the ball m2? A:…
The driver of a car moving at 73.0 Km/h drops a road map on the floor. It takes him 3 seconds to locate and pick the map. How far did he travel during this time. The solution starts i need to convert 1 km/h into m/s why do i need to that? The problem only give us Km/h and seconds. is it because…
An object (300 g) is swung in a circle on the end of a 1.2 m length of rope. If the object is travelling at 0.60 ms-1 , calculate the tension in the rope.
Is Home Solar the Wave of the Future?
(a) An infinitely long cylindrical conductor has a radius of 20.0 cm and surface charge density of 10.0 microcoulomb/m^2. What is the electric field due to a cylindrical conductor of length 2.0 m at a distance of 1.5 m away from the cylinder? (b) An imaginary cylinder with radius 0.25 m and…
Is displacement always a vector, even if the object is in motion?
An image formed by a lens has a magnification of 3. What is the correct answer? a.) The image is 3 times farther than the object from the lens. b.) The image is 3 times taller than the object. c.) The image is 3 times wider than the object. d. All are correct
Three vectors have the components given below. A→ has components Ax = -2, Ay = 3 B→ has components Bx = 4, By = -2 C→ has components Cx = -5, Cy = -4 Find the magnitude and direction of the vector A→ + B→ + C→.
1) An X-Band microwave radar operates at a frequency of 9 GHz. What is the wavelength of the radiation emitted by the radar? 2) You are looking at two heated metal pieces. One looks red, and the other looks green. Which one is hotter? Explain. 3) A forest fire burns at a temperature of 700 °C.…
if the velocity of a wave remains constant and the period of the wave increases, then the wavelength of the wave_____. a. decreases b. cannot be determined c. remains the same d. increases
A particular car's acceleration one more can be described by the function a(t) =5.0/t. Calculate how fast the car will be traveling after 45.0 s.
Text: Point charge q1 = -5.00 nC is at the origin and point charge q2 = +3.00 nC is on the x-axis at x = 3.00 cm. Point P is on the y-axis at y = 4.00 cm. a. Calculate the electric fields E1→ and E2→ at point P due to the charges q1 and q2. Express your results in terms of unit vectors…
Two rings of radius R = 2 cm each are 40 cm apart and concentric with a common vertical axis. Ring 1 carries a uniformly distributed charge of +3 nC, and Ring 2 carries a uniformly distributed charge of -4 nC. Point A is on the axis, halfway between the two rings. a. Find E1, the electric…
A 1200-kilogram car is cruising at a constant speed of 22 meters/second (50 miles/hour). What is the net force on the car? B. In the previous problem, if the car begins losing speed at a rate of 1 meter/second per second, what is the size of the net force on the car?
The roof of a house has an area of 1,334.3 ft. Determine the number of square meters that equals. answer in significant figures
As an electron orbits the nucleus, it can be thought of as a standing wave. Calculate the frequency of the wave if the electron is in the 4th energy level of hydrogen atom.
Match the terms with the statements. May use a term more than once or not at all. Conductance, Current, Depolarization, Capacitance, Potential, Charge 1) ____________ The net flow of charge from one point to another. 2) ____________ Results from the separation of unequal charges and requires an…
Dr. Goldstein looked with concern at the small man lying in the ICU bed. The nursing home had brought him to the hospital because of lung congestion. Dr. Goldstein glanced back at his notes: Ed, age 67, a white male with diabetes, high blood pressure, and poor vision. Somewhat mentally…
Assuming that biological substances are 98% water, estimate the masses of a cell with a diameter of 1.3 µm, a human kidney, and a fly. Take a kidney to be roughly a sphere with a radius of 3.8 cm and a fly to be roughly a cylinder 4.3 mm long and 2.9 mm in diameter.
While standing on a bridge 20.0 m above the ground, you drop a stone from rest. When the stone has fallen 3.40 m, you throw a second stone straight down. What initial velocity must you give the second stone if they are both to reach the ground at the same instant? Take the downward direction to…
Two thin copper plates both neutral and square are situated parallel to each other and 5mm apart. There is a 9V potential difference applied across both plates. If an electron starts with a velocity 6*10^5 m/s, at an angle of 20 degrees above the horizontal and 3mm away from the negatively…
A driver is traveling 18.0 m/s when she sees a red light ahead. Her car is capable of decelerating at a rate of 3.70 m/s2 . It takes her 0.420 s to get the brakes on and she is 20.0 m from the intersection when she sees the light. How far from the beginning of the intersection will she be?
For each of the three pairs of positions listed in the following table, determine the magnitude and direction (positive or negative) of the displacement. initial position final position a- +2.20 m +6.00m b- +5.60 m …
a) Under what circumstances is the net flux zero? Positive? Negative? b) Does the location of the charges that are inside the surface affect the net flux? c) Does the location of the charges that are outside the surface affect the net flux? d) Does the sum of the charge inside the surface…
Write your own vector problem that requires you to break at least two vectors into components, add them together and find the resultant vector. Solve the problem and include both the algebraic solution and a diagram for your solution. Something simple!
Problem 5 (3 points). A beam of unstable K+ mesons traveling at v = 0.8c passes through two detectors placed in sequence 8 meters apart. The particles suffer negligible deflection and loss of speed in passing through the detectors but produce electrical signals which can be counted. A beam of…
A boy throws a ball with an initial velocity of 23 m/s at an angle of 30° above the horizontal. If air resistance is negligible, how much time elapses before it is caught at the same height?
What is the lifetime of a hydrogen atom in the Rutherford model?
For the following parallel plate capacitor, A = 4 cm^2 and separation d = 8 mm. The left half of the gap is filled with material of dielectric constant κ1 = 10.00; the right half is filled with material of dielectric constant κ2 = 20.0. What is the capacitance?
The internal engine of a 1200-kg car is designed to run on octane (C8H18), whose enthalpy of combustion is 5510 kJ mol^-1. If the car is moving up a slope, calculate the maximum height in meters to which the car can be driven on 1.0 gallon of the fuel. Assume that the engine cylinder…
If you hit a golf ball and it takes off with a velocity of 38.83 m/s at an angle of 25.12 degrees above the horizontal, how far will it travel before hitting the ground? (Explain clearly)
Three source charges are stationary in the xy plane: Q1 = +8 nC at the origin, Q2 = +2 nC at (x2, y2) = (5,0) cm, and Q3 = -2 nC at (x3, y3) = (0,3) cm. There are no other charges nearby. (a) What are the three individual electric field vectors E1, E2, and E3 made by Q1, Q2, and Q3,…
What is the velocity with which you throw a ball upwards if it makes it to a height of 6.258 m? (Explain so I can put it in Excel).
Suppose you have a car that, along with passengers, has a mass of 1,271 kg. How much force does it take to achieve the acceleration needed to reach 27 m/s (60 mph) in 6 s?
If the acceleration a = 1.678 m/s^2 for a mass m = 2.242 kg object, what is the net force applied to the object? (Explain the problem clearly so I can put it in Excel).
The electric potential on the x-axis is given by V=x. What is the direction of the electric field at x= -5? The electric potential on the x-axis is given by V=x. What is the direction of the electric field at x= +5?
2. The velocity of sound in sea water is 1533 m/s. Find the bulk modulus (in N/m2) of sea water if its density is 1.025 x 103 kg/m3.
It is possible to hear an approaching train before you can see it by listening to the sound wave through the track. If the Young’s modulus is 2.0 x 1011 N/m2 and the density of steel is 7.8 x 103 kg/m3, approximately how many times faster is the speed of sound in the track than in air? (vair…
A mountain climber is attached to a rope. She slips, and after she has fallen 5.5 m, the rope begins to help decelerate her. If the constant deceleration is 5.5g, how many cm will the rope stretch before she stops? (For most real ropes, the deceleration depends on the stretching of the rope.)
Suppose you throw a stone straight up with an initial velocity of 20.5 m/s and, 3.5 s later you throw a second stone straight up with the same initial velocity. The first stone going down will meet the second stone going up. At what height above the point of release do the two stones meet?
A hot-air balloon is sinking toward the ground at a speed of 3.05 m/s when the pilot drops a couple of sandbags overboard. The balloon immediately begins to experience constant acceleration, such that it slows in its descent, turns around, and begins to rise. 24.8 s after dropping the sandbags,…
What is log of 1000 with base of 10?
Two point-like objects, A and B, each carry a positive charge Q; they are separated by a distance r. Let F0 represent the magnitude of the force of A on B. (By symmetry, since the charges are equal, the force of B on A is also F0.) Then, the charge on A is tripled to 3Q while the charge on B is…
Question 2 Given that forces describe interactions between objects, would you think that the force exerted by one charged object on another gets larger or smaller as the objects are moved farther apart?
Text: Use the exact values you enter to make later calculations. Three capacitors C1 = 5.5 µF, C2 = 10.0 µF, and C3 = 16.0 µF are connected as shown with a battery of voltage V = 18 V. (When entering units, use micro for the metric system…
Two point charges lie on the x-axis. A charge of +2.30 pC is at the origin, and a charge of -4.60 pC is at x = -13.0 cm. What third charge should be placed at x = +22 cm so that the total electric field at x = +11.0 cm is zero?
A steel ball is dropped from rest and falls for several s. How far does the ball fall during the ninth s? (You are asked to calculate the distance the ball has fallen from the end of the eighth s to ninth s. Neglect air resistance.)
Increasing the distance from a point charge will change the potential by a factor of how much?
While driving down a road a guy shoots a bullet straight up into the air. If there was no air resistance where would the bullet land?
Two-dimensional dynamics often involves solving for two unknown quantities in two separate equations describing the total force. The block in Figure 1 has a mass m = 10 kg and is being pulled by a force F on a table with a coefficient of static friction μs = 0.3. Four forces act on it: the…
A rocket rises vertically, from rest, with an acceleration of 3.1 m/s^2 until it runs out of fuel at an altitude of 1400 m. After this point, its acceleration is that of gravity, downward. a) What is the velocity of the rocket when it runs out of fuel? b) How long does it take to reach this…
A car, starting at 10 m/s (22.4 mph), accelerates at a rate of 3.0 m/s2 for 9.5 s. What is the car's final velocity?
Calculate the ratio of the electric force to the gravitational force for two electrons. Use me = 9.1*10^(-31) kg and q = 1.6*10^(-19) C a) 9.8 b) 4.2 x 10^42 c) 5.7 x 10^50 d) 2.4 x 10^(-43)
A point charge q1 = -9.5 μC is located at the center of a thick conducting shell of inner radius a = 2.4 cm and outer radius b = 4.1 cm. The conducting shell has a net charge of q2 = 2.5 μC. 1) What is Ex(P), the value of the x-component of the electric field at point P, located a distance…
IP Cell Membranes The cell membrane in a nerve cell has a thickness of 0.12 μm. Approximating the cell membrane as a parallel-plate capacitor with a surface charge density of 5.9 × 10^(-6) C/m^2, find the electric field within the membrane.
At what separation is the electrostatic force between a +10.5 μC point charge and a +29.8 μC point charge equal in magnitude to 1.87 N?
Find the net charge of a system consisting of 215 electrons and 163 protons.
16. A ball is thrown upward, reaching a height of 6.4 m above the level of release before falling back down. Ignore air friction. How fast was the ball moving (in m/s) when it was released? Answer: 11.2 17. Continuing with #16, how much total time is taken (in seconds) from the ball's release…
Consider two positively charged particles: one has charge Q, and the other has charge 2Q. These particles are separated by a distance of 4 μm. If the magnitude of the electric force that one particle exerts on the other is 72 mN, then what is Q? A. 12 pC B. 15 pC C. 18 pC D. 10 pC E. 8 pC F. 6…
The figure below shows a crate with a mass of m = 3.45 kg on a ramp inclined at an angle of 35.0°. The coefficient of static friction between the crate and the ramp is 0.300. Find the minimum magnitude of the force F (in N), applied to the crate in a direction perpendicular to the ramp, that…
A wire A and wire B are made of the same material. Wire A has twice the radius and half the length of wire B and resistance 8 Ω. What is the resistance of wire B?
What if we found evidence that the cosmological principle is wrong because there is a big region in the universe where the laws of physics are different from the ones on Earth: How should we then think about the laws of physics in yet other parts of the universe?
(a) Sketch the PV cycle of a Carnot engine on a PV diagram. Label the name of each process on the diagram, including whether it is an expansion or compression (e.g. "adiabatic compression"). (b) State the change in entropy in the phase of adiabatic compression.
You and a friend observe light from a laser on a pair of very narrow slits seperated by 0.5 micrometer and bright fringes are separated by 1.0 mm are observed on a distant screen, if you double the frequency of the laser light, what will be the distance of separation between bright fringes?
A. Which equation reflects a difference equation of a car that accelerates at 2 seconds? Equation: v(t) = 50 mph - (2 mph/sec) * t^2 I think it is 50 mph - (2 mph/sec) * (2)^2 but I am not sure. B. Alex is driving north along a highway at 50 mph when he passes a truck headed in the same…
A charged particle is placed at a point where the electric field is 5x10^8 N/C to the right. If the resulting electric force on the particle is 10x10^-4 N to the left, then what is the charge of this particle? A) -0.2 pC B) -0.5 pC C) +2 pC D) +0.5 pC E) -2 pC F) +0.2 pC
9. The electric current, i (in amps), in a circuit containing a 1 Henry inductor, a 15 ohm resistor, and a 9 volt battery is a function of the time, t (in seconds), given by the equation: i = 0.9(1 - e^(-15t)). a) Solve this equation for t. (Re-write the equation as t = expression with i) b)…
A capacitor of C = 1 F is charged with an initial electric energy of 11.1 J. It is then discharged through a resistor with resistance R = 3.98 Ω. After a full discharge, what is the energy dissipated in the resistor?
A particle fixed in position has a charge equal to -5e. What is the electric field at a distance of 12 nm from this charged particle? A) 5x10^7 N/C, away from the particle B) 5x10^7 N/C, toward the particle C) 2x10^9 N/C, toward the particle D) 2x10^9 N/C, away from the particle
Consider four charged particles 1, 2, 3, 4. Particle 1 attracts particle 3, and particle 2 attracts particle 4. If particle 4 repels particle 1, then a) particle 4 repels particle 3 B) particle 2 repels particle 3 C) particle 1 repels particle 2
A long solenoid has n turns per unit length and carries a sinusoidal current given by I = I0sin(2Ï€ft), where I is the peak current and f is its frequency. A small search coil consisting of N turns of mean cross-sectional area A is positioned in the solenoid at its midpoint with its plane…
In a speedometer test zone on a highway, you drive 5 miles in 6 minutes. During the test, your speedometer reading is 55 mph. What is your actual speed?
The annual income of a person from China is $18,000 (2018 est.) and is growing at a rate of 8% per year. In what year will it reach the (2017 est.) U.S. level of $60,000?
A soccer ball of mass 0.4 kg is rolling with velocity <0, 0, 3> m/s, when you kick it. Your kick delivers an impulse of magnitude 1.7 N·s in the -x direction. The net force on the rolling ball, due to the air and the grass, is 0.21 N in the direction opposite to the direction of the ball's…
The position of a particle as a function of time is given by x = (-5.06 m/s)t + (3.00 m/s^2)t^2. Calculate the average velocity of the particle from t = 0 to t = 1.50 s.
What is the most accurate statement about capacitors in parallel (i.e., independent of the values of their capacitance)? a. The charge on each capacitor is different b. The product of the charge and the potential drop is identical for each capacitor c. The potential drop across each capacitor…
A football player kicks a ball at 15 m/s at 30 degrees above the ground. Find the horizontal and vertical components of this velocity.
Solve this problem using the concept of Coulomb Forces. Two equal positive charges q1 = q2 = 2.0 µC are located at x = 0, y = 0.30 m and x = 0, y = -0.30 m, respectively. What are the magnitude and direction of the total electric force that q1 and q2 exert on a third charge Q = 4.0 µC at x =…
A conductor carries a current that is decreasing exponentially with time. The current is modeled as I = I0e−t/τ, where I0 = 8.00 A is the current at time t = 0.00 s and τ = 0.50 s is the time constant. How much charge flows through the conductor (in C) between t = 0.00 s and t = 5τ? …
A car is driving down a straight road at 40 m/s. The driver notices a dog in the road ahead and slams on the brakes. The car begins to slow down with a constant acceleration a = -2.5 m/s2. Determine how much time it takes for the car to stop and how far the car goes before it stops.
. An Olympic swimming pool measures 50.0 m long, 25.0 m wide, and 3.0 m deep. (a) What is the pool volume in cubic meters? (b) Health authorities recommend that you drink eight 8 oz glasses of water a day (i.e. 64 oz). At that rate, how many days would it take you to drain the entire pool by…
The sun, on average, is 93 million miles from Earth. How many meters is this? Express (a) using powers of 10, and (b) using a metric system prefix (km).
A mass hanging on a spring oscillates with a natural frequency of 3 rad/s. If initially it is displaced 0.17 m in the positive direction from equilibrium and given a negative initial velocity of 0.31 m/s, determine the position of the mass (in m) after 3 s. Assume up is the positive direction.
A putting green is located 160 feet horizontally and 55 feet vertically from the tee. What must be the magnitude and direction of the initial velocity if a ball is to strike the green at this location after a time of 2 seconds? Initial Velocity Magnitude = ? feet/second Initial Velocity…
A snowboarder glides down a 60-m-long, 15∘ hill. She then glides horizontally for 10 m before reaching a 22 ∘ upward slope. Assume the snow is frictionless. A) What is her velocity at the bottom of the hill? B) How far can she travel up the 22 ∘ slope?
A car traveling at 25.0 m/s runs out of gas while traveling up a 23.0 degree ∘ slope. How far up the hill will it coast before starting to roll back down?
A particle’s velocity along the x-axis is described by v(t) = A t + B t2, where t is in seconds, v is in meters per second, A = 0.92 m/s2, and B = -0.55 m/s3. A) What is the acceleration, in meters per second squared, of the particle at time t0 = 1.0 s? B) What is the displacement, in meters,…
When a charged particle of is placed at a point in space, it is subject to an electrostatic force of upward. What is the electric field strength at this point?
The electric charge flowing through an ordinary 115-volt, 150-watt lightbulb is 1.3 C/s. How many electrons per second does this amount to?
A tennis ball is thrown vertically from a height of 10m with an initial velocity of Voy = 12m/s. How long was the tennis ball in the air?
What is the magnitude of the force (in Newtons) exerted on a charge 4.6 mC by an electric field 234.5 N/C that points due east? Your answer should be a number with four decimal places, do not include the unit. Hint: 1 mC = 10^-3 C
Two positive charges are separated by a distance of 30 cm. One charge is 3 x 10-10 C and the other is 5 x 10-10 C. What is the magnitude of the total electric field at a point halfway between the two charges?
What is the magnitude (in N/C) and direction of an electric field that exerts a 2 x 10^-5 N upward force on a -1.8 µC charge? 1µC = 10^-6 C Indicate direction with a positive or a negative value. Keep in mind that a positive vector is directed upwards and a negative vector is directed…
Change the magnitude of vector A to 12 m, and find its x component. Give your answer in units of meters with 3 sig figs.
Two equal charges with magnitude Q and Q experience a force F1 when held at a distance r. F2 is the force between two charges of magnitude 6*Q and 3*Q when held at a distance r/2? What is the ratio of F2 to F1?
2. A golf ball leaves the tee with a velocity of 30 ft/s at 50°. If it lands on a green located 9 feet higher than the tee, what was the time of flight? Why were there two possible solutions for the time value? Which did you pick as the correct one and why?
Calculate the magnitude of the electric field (in N/C) at 3.8 m from a point charge of 6.4 µC. You should round the answer to an integer, indicating only the number, do not include the unit. Hint: 1 µC = 10^-6 C
The position of a particle as a function of time is given by x = (-4.93 m/s)t + (3.10 m/s^2)t^2. Calculate the average velocity of the particle from t = 0 to t = 1.50 s. -2.80×10^-1 m/s. You are correct. Calculate the average speed from t = 0 to t = 1.50 s. I correctly calculated the first…
For point charge -5.2 µC and point charge 4.3 µC located at the same positions as in the previous question (5 m and 4 m, respectively), determine the magnitude of the net electric field E at the origin (in N/C). Your answer should be a number with two decimal places, do not include the unit.…
The outermost part of the region of the earth is completely surrounded by the innermost of the transparent orbs carrying the moon, and is everywhere in contact with. This orb (along with everything else in the heavens) rotates once every 24 hours. This orb is solid; the elements beneath it are…
Explain the advantages/disadvantages of computing the electric field and the electric potential from a known charge distribution.
A playground is on the flat roof of a city school, hb = 5.50 m above the street below (see figure). The vertical wall of the building is h = 6.60 m high, to form a 1.1-m-high railing around the playground. A ball has fallen to the street below, and a passerby returns it by launching it at an…
A dime is dropped from a hot-air balloon that is 305 m above the ground and rising vertically at 8.5 m/s. For this problem use a coordinate system in which up is positive Part (a) Find the maximum height, in meters, that the dime attains. Part (b) Find its height above the ground, in…
An AC generator supplies a peak voltage of 175 V at 50.0 Hz. The generator is connected in series with a 35-mH inductor, an 85-µF capacitor, and a 55-Ω resistor. (a) What is the capacitive reactance for this circuit? (b) What is the inductive reactance for this circuit? (c) What is the…
a driver speeds up from 1.9 m/s to 3.8 m/s in 5.3 seconds, with a constant acceleration. The driver's speed (m/sec) at 13.2 seconds is
which of the following is not a cause of measurement uncertainty? 1) Irregularities in the object being measured. 2) Errors due to misusing the measurement tool. 3) Limits in the accuracy of the measurement tool. 4) Limits in the precision of the measurement tool.
If there is one object with a charge of 100C, and it hits another object with a charge of 70C, what is the new charge on each object? i meant to put -70C for the second one
A shot-putter throws the "shot" (mass = 7.3 kg) with an initial speed of 14.3 m/s at a 38.0 degree angle to the horizontal. Calculate the horizontal distance traveled by the shot if it leaves the athlete's hand at a height of 2.20 m above the ground. Express your answer using three significant…
10. How would you calculate how much heat a block of ice must receive to turn it into steam?
Compute the values of Rh and the voltage drops across this resistance for the two situations in TI Data Table 1, reading 1. How do the values compare? Readings at Different Rheostat Settings 30 Ω VS (V - Volts) 30 Ω IS (A - Amps) 50 Ω VS (V - Volts) 50 Ω IS (A - Amps) 20% Rheostat 3.1 V 0.1…
A group of individuals conducts a test of relative motion. Mounting an airgun in the back of a pickup, they shoot a soccer ball backwards at 40 km/h relative to the pickup, which was traveling at only 30 km/h. a.) What velocity would a camera, located on the ground, detect? b.) What…
Which had greater kinetic energy a Volkswagen car moving at 60 mi/hr or a Lincoln Continental moving at the same speed? Why does one have more KE than the other when they move at the same speed
If the velocity of an object is 0 m/s. Must the acceleration be 0 m/s^2 ? yes or no?
QUESTION 9 A proton starts at velocity 9.73x10^4i m/s moving through an electric field -221i N/C. How far will the proton move, in cm, before it comes momentarily to rest? QUESTION 10 Two point charges lie on the x-axis: qA = 9.14 μC is at the origin and qB = -9.14 μC at (81.6 m,0).…
Title_with_topic: "Graphing the Electric Force between Two Charges as a Function of Separation Distance
A item volume is 798.01 cm³ and its density is d = 1.02 g/cm³. Another item volume is V = 1179.34 cm³ with a density of 1.08 g/cm³. I have to explain why there is a huge difference in volume but not so much in density. The mass of the first item is 816.47 g and the second item is 1179.34 g.
QUESTION 5 Two positive point charges are fixed on the x-axis: q1 is at the origin and q2 = 8.83q1 is at (83.7 cm, 0). You now place a third charge Q on the x-axis at (x,0) and it remains at rest. Find x in cm. NOTE: The answer does not depend on the value or sign of Q. QUESTION 6 Point charge…
Alex drives to Times Square at 65 mph, and Tim drives from New Rochelle, 20 miles away, at 40 mph. Where do they meet for lunch? Give your answer as a distance from Times Square in meters.
Title: Excel Graph of Electric Forces vs. Product of Charges at a Fixed Distance No of Measurements Charge (q1) in C Charge (q2) in C Distance in 'm' Electrostatic force in N Calculated Simulated Difference 1 +2 x 10^-6 +3 x 10^-6 0.04 …
Two charges -1 µC and 2 µC are placed at the corners A and B of an equilateral triangle ABC of side 2 m. Calculate the Electric Field at C.
A ball is thrown straight up from the edge of the roof of a building. A second ball is dropped from the roof a time of 1.02 s later. You may ignore air resistance. a)If the height of the building is 20.3 m, what must the initial speed be of the first ball if both are to hit the ground at the…
A child's toy consists of a piece of plastic attached to a spring in the figure below. The spring is compressed against the floor a distance of 2.00 cm, and the toy is released. If the toy has a mass of 80 g and rises to a maximum height of 40.0 cm, estimate the force constant of the spring.
An AC circuit has a 20 Ω resistor, 6 H inductor and a capacitor connected in series that has the least impedance when the frequency of the generator is 10 kHz. At what frequency is the least impedance if the inductor is replaced with a 10 H inductor?
A wave with a frequency of 10 Hz originates from a point source and travels through copper. The density of copper is 8960 kg/m3 and the elastic modulus is 117 x 109 N/m2 . a) What is the speed of the wave? b) If the intensity is 1250 W/m2 at a distance of 10 m from the source, what is the…
Draw the electric field lines for a positive charge of +4, interacting with a negative charge of -1.
15. Little Nancy will manufacture a float of a cylindrical cork with a density of 0.25 g / cm3. The diameter of the cork is 15 mm and the height is 5.0 cm. In the float, she intends to attach a fishing line with a sinker and hook. The sink, hook (and mask) together weigh 5.0 g and have a…
On the coordinate plane, a charge Qa = +4μC is located on the y-axis, 6 cm from the origin. A charge Qb = -2μC is also located on the y-axis, -4 cm from the origin. A third charge Qc = +2μC is located at (x, y) = (5 cm, -4 cm). Find the net electrostatic force on charge Qb due to the other…
An equal-area map projection is one where there is a constant proportionality between areas on the map and areas on the surface of the globe. Given x = Lφ/2Ï€, what function y(λ) would produce an equal-area map? Hint: make sure the infinitesimal area dxdy has a constant of proportionality…
Two strings are attached between two poles separated by a distance of 4.50 m as shown below, both under the same tension of 900.00 N. String 1 has a linear density of μ1 = 0.0020 kg/m and string 2 has a linear mass density of μ2 = 0.0031 kg/m.. Transverse wave pulses are generated…
If a car initially has velocity vector <300 m/s, 0,0> and has a change of velocity <0, 400 m/s,0> what will be the new velocity vector? What direction will the velocity point (angle from the x-axis)? What will be the new speed? Please show your work.
The kinematic equations can describe phenomena other than motion through space and time. Suppose x represents a person's bank account balance. The units of x would be dollars ($) and velocity v would give the rate at which the balance changes (in units of, for example, $/month).…
A ship leaves St. John's Harbour, sails east, and covers a distance of 150 km. It then changes direction to 35.0° south of east and travels another 250 km. Determine the final position of the ship.
a ball starts from rest and rolls down the hill with an acceleration of 3 m/s^2. if the ball travels for 4 s what is the final speed?
The boy at an amusement park move in circle of radius 12 m per 8 revolutions every minute. Find the angular velocity and centripetal acceleration.
The graph show the energy change in U for n moles of an ideal gas with temperature T. calculate the heat capacity at constant pressure!
A physics student who is also a pilot is preparing to fly from the Goshen airport home to Kalona, Iowa, which is due west. Her plane flies with an airspeed (its speed relative to the air) of 108 knots. There is a strong wind blowing at 21 knots coming from the northwest. a. What heading should…
1.A person starts walking at point A on earth. She walks 10 km to the south, stops, then walks 10 km to the east, stops, then 10 km to the north, and she is back at point A where she started. How many points on the surface of the earth that will meet this condition? Why? 2. Are officers in the…
a) (4 units, 140 degrees) coordinates b) (-3 units, 6 units) coordinates Identify the representation and quadrant and sketch them.
Compute an experimental acceleration due to gravity, g value, using the mean time of 0.52 seconds, the height of 2 meters, and compare with the g value of 9.8m/s^2
We will learn in this class that in equilibrated systems, every object has a characteristic amount of kinetic energy, often called the "thermal energy". It is numerically equal to the temperature times the Boltzmann constant, times a numerical constant of order one that we don't have to worry…
A + 7.2 nC point charge and a -2.0 nC point charge are 3.7 cm apart. What is the electric field strength at the midpoint between the two charges? 2. Corrected_text: A glass bead charged to +3.2 nC exerts a 7.0 × 10^−4 N repulsive electric force on a plastic bead 2.5 cm away. What is the…
A model rocket leaves the ground, heading straight up at 49 m/s. (a) What's its maximum altitude? Find its speed and altitude at (b) 1 s, (c) 4 s, and (d) 7 s. Answers: [(a) 120 m, (b) 39 m/s, 44 m, (c) 9.8 m/s, 120 m, (d) -20 m/s, 100 m]
Express the following angles in radians: (a) 17.5°, (b) 48.9°, (c) 103°. Convert the following angles to degrees: (d) 0.318 rad, (e) 1.31 rad, (f) 8.73 rad.
A high voltage transmission line has an aluminum cable of diameter 5.3 cm and is 181 km long. The resistivity of Aluminum is 2.8*10-8 Ωm. What is the resistance of this cable in Ω? Enter a number with one digit behind the decimal point.
Demonstrate that when Angular Moment is worth zero, the movement is in a straight line and along the radial direction.
A delivery truck travels 20 blocks north, 16 blocks east, and 27 blocks south. What is its final displacement from the origin (magnitude)? Assume the blocks are equal length. Express your answer as an integer.
A delivery truck travels 20 blocks north, 16 blocks east, and 27 blocks south. What is its final displacement from the origin (direction)? Express your answer using three significant figures.
The temperature difference between the inside and the outside of a building on a cold winter day is 32°F. (a) Express this difference on the Celsius scale. Note that the given value is a temperature difference or change, not a single temperature measurement. Think about how the size of one unit…
A pitcher throws a baseball with an initial speed of 50 m/s at a height of 1 meter above the ground. Answer the following questions assuming that the batter misses the ball and there is nothing behind the batter to stop the ball. How long does it take for the ball to hit the ground?
On January 7 in New York City, the air temperature near the Brooklyn Bridge is -5.000 °C. At that temperature, a steel girder in the supporting structure of the bridge is 8.000 m long. On July 17 in New York City, the length of the same steel girder is 8.003 m. What is the Fahrenheit…
How much heat is necessary to change 565 g of ice at -11°C to water at 20°C?
1. Which of the following would correspond to an increase in the thermal energy of a container of gas molecules? i. An increase in the temperature of the gas ii. An increase in the speed of the randomly moving gas molecules 2. The human body would be an example of what kind of system? An open…
1. The SR-71 Blackbird spy plane was built by Lockheed Martin in the 1960s and could exceeds 1. 2190 mph Mach 3 ( 3times the speed of sound). it could literally outrun any missile shot at it! What was its speed if it 2. 0.24 km/h could travel more than 73 miles in 2.0 minutes. What is its…
A car is traveling east at 25.5 m/s. If it accelerates at 0.75 m/s2 in 8.3 s, what is the final velocity? Use the following equation to calculate the final velocity: vf = vi + at, where vi is the initial velocity, t is time, and a is the acceleration. State the answer using the correct number…
Home furnaces use a flame detector to shut down the gas delivery if the fire extinguishes. The detector consists of one simple stainless steel electrode (wire), isolated from the electrical ground of the furnace, that extends in front of the burner. The far end (tip) of this electrode reaches…
Below is the calculator result for the operations indicated. Enter the answer to the correct number of significant figures for this calculation, using the rules for significant figures. (2.20 − 0.0057 + 51) × 3.14159 = 167.114680937
You have a summer job working for a swimming pool construction company. Your boss gives you the following task. He is preparing to install a swimming pool that measures (10.0 ± 0.1) m by (17.0 ± 0.1) m. The homeowners have asked for a sidewalk to be constructed around the pool. The sidewalk is…
Draw the phasor diagram of a capacitive RLC circuit. Explain clearly and provide all details of your answer.
Question 1. Convert the following into the units indicated in brackets. (a) 25 kg/m^3 (g/mm^3) (b) 100 cal/kg (J/g) (c) 250 J/mK (mJ/K) Question 2. Express the normal body temperature of 37°C in Fahrenheit and Kelvin. Question 3. Your heart beats 70 times per minute (when you are resting). How…
At one instant, a rock is free falling. It has a speed of 50 m/s. What is the speed in the next second? A) 40 m/s B) 60 m/s C) 50 m/s
1. If you drop a mic from 1.55m, how long does it fall in the air before it hits the ground? (report your result to 2 decimal places.)
Determine the y-component of the electric field at the origin. Give your answer in the form "+/-a.bc * 10^() N/C)", where is the unit vector along the y-axis.
Vector A has a magnitude of 2.42 m and points 23.3° north of east, while vector B has a magnitude of 6.40 m and points 29.1° south of east. Determine the magnitude of A - B.
A car is traveling at a steady speed of 87 km/h in a 50 km/h zone. A police motorcycle takes off at the instant the car passes it, accelerating at a steady 7.3 m/s^2. How much time elapses before the motorcycle is moving as fast as the car?
The average coefficient of linear expansion of copper is 17 x 10^(-6) (°C)^(-1). The Statue of Liberty is 93 m tall on a summer morning when the temperature is 25°C. Assume the copper plates covering the statue are mounted edge to edge without expansion joints and do not buckle or bind on the…
An athlete performing a long jump leaves the ground at a 28.2 ∘ angle and lands 7.71 m away. A) What was the takeoff speed? B) If this speed were increased by just 4.0%, how much longer would the jump be?
a) What is the magnitude of the force that a -5.4 µC charge exerts on an 8.2 µC charge which is located 75 cm away from the -5.4 µC charge? b) How many electrons are needed to make the -5.4 μC charge?
A speaker has a power output of 3.2 x 10^(-4) W. a) If the speaker acts as a spherical source, what is the intensity in W/m^2 at a location 3 m away? b) What is the sound level in decibels? c) At what distance from the source is the sound level in decibels equal to 45 dB?
Solve for m using the quadratic formula. Show all work. m2 – 5m -10 = 4
A sound wave with a wavelength of 1.65 m travels through 37°C air. a) What is the speed of sound for 37°C air? b) What is the frequency of the wave? c) At what temperature would the speed of sound be 335 m/s?
Two people, one in NY and one in LA, talk on the phone. They are separated by 4000 km. Assuming the signal is carried by an electromagnetic wave that travels at the speed of light in a vacuum, how long does it take the signal carrying your voice to travel that distance? (Enter answer in terms…
A small metal bead, labeled A, has a charge of 27 nC. It is touched to metal bead B, initially neutral, so that the two beads share the 27 nC charge, but not necessarily equally. When the two beads are then placed 5.0 cm apart, the force between them is 4.9×10^(-4) N. Assume that A has a…
when measuring volume in a cylinder, is measuring the height or the diameter of the cylinder more important when measuring the volume and why?
A person is driving with a speed of 65 mi/h for 3 hours. How far did he travel?
parts 1bc
Please help me with the following I am extremely confused. Thank you so very much! By choosing different values of the initial position, velocity and acceleration, answer the following questions. To end any of the runs, click on the "Reset All" button and click yes to reset all. The play…
Consider vector A with components Ax and Ay. Derive an expression, in terms of Ax and Ay, for the components of B if B satisfies the vector equation A + 4B = 3A. Express your answer in terms of Ax and Ay separated by a comma.
A 200.0-gram mass hanging from a linear spring gives it a length of 14.0 cm. When the hanging mass is increased to 350.0 grams, the length becomes 17.0 cm. Find (a) the spring constant and (b) its no-load length. (c) Calculate the energy stored in it when it is 17.0 cm long. (d) Find the…
A stick of length 5 cm has charged globes on either end, one charged to 17 μC, while the other one is charged to -5 μC. The rod is placed perpendicular to a 850 N/C field. 3. How much torque does it feel? ___(N)(m) Need help on last question.
A cup of coffee whose temperature is 190 ° F is placed in a room whose temperature is 65 ° F. Two minutes later the coffee temperature is 175 ° F. After how long will the coffee temperature be 150 ° F?
How much mass has a rest energy of 970 J? (Please show all work. Thank-you!)
The membrane protein bacteriorhodopsin, which contains seven transmembrane alpha helices, was attached by its N-terminal to a glass slide, and the C-terminal was electronically linked to a magnetic force microscope. The microscope tip was then pulled away from the slide, exerting a force of 300…
Sukey is riding her bicycle on a path when she comes around a corner and sees that a fallen tree is blocking the way 42 m ahead. If the coefficient of friction between her bicycle's tires and the gravel path is 0.36 and she is traveling at 29.0 km/h, how much stopping distance will she require?…
Consider two concentric conducting spheres. The inner sphere (sphere 1) is solid with a radius R1 = 8.8 cm and carries a charge of Q1 = -4 μC. The outer sphere (sphere 2) is hollow with an inner radius R2 = 28.8 cm and an outer radius R3 = 33.5 cm and carries a charge of Q2 = 7 μC. What is…
Evaluate the given integral by changing to polar coordinates. ∫∫10(r cosθ + r sinθ) r dr dθ where R is the region that lies to the left of the y-axis between the circles r^2 = 1 and r^2 = 9. R
(a) What voltage must be applied to an 8.00 nF capacitor to store 0.320 mC of charge? (b) Find the capacitance of a parallel plate capacitor having plates of area 5.00 m^2 that are separated by 0.100 mm of paper. (Answer in microfarads) (c) What is the potential 0.530 angstroms away from a…
The rotor is moving at 860 rpm. Enter the value of the angular acceleration in rad/s^2
Blocks A and B are connected by an inextensible cable, as shown in the figure below. Assume that the radius of the pulley is small compared to the other dimensions of the problem. Block A moves along a horizontal path, and block B moves along a vertical path. At the instant shown, B is moving…
10.) Using a large conical megaphone would make your voice louder because of... a) Resonance b) Impedance Matching c) Stabilization d) Diffraction e) Refraction
In a series RL circuit, L = 3.0 H, and in another series RC circuit, C = 3.00 uF, and the time constants of these two circuits are equal. If the resistances in the two circuits are equal, what is the value of the resistance?
I have obtained the same graphs and data for four different gases, such as hydrogen, oxygen, and helium from Boyle’s law lab. I wanted to ask why it is the reason that my results are the same? and does this experiment confirm the Boyle’s law? please explain
a) An egg crate is placed in the truck bed that moves on a winding road. Since the static friction coefficient between the truck bed and the egg crate is 0.6, how fast should the truck turn around the 35-meter radius bend so that the egg crate does not slip out of the truck bed? b) What is the…
15.) A sound wave is observed to have a wavelength of 20 cm in air at room temperature, what is the frequency of this wave? a) 17.15 Hz b) 1715 Hz c) 68.6 Hz d) 6860 Hz e) 0.0006 Hz
A skier descends a slope of θ = 30° at a constant speed of v = 15 m/s. His total mass is m = 80 kg. How much snow melts beneath his skis in τ = 1 min, if the latent heat of fusion of snow is L = 340 J/g and it is assumed that all the friction goes into melting snow?
17.) An object is vibrating with a frequency of 10 Hz, what is its period? a) 20 s b) 10 s c) 0.2 s d) 0.1 s e) Not enough information
18.). A new rocket is able to reach a speed of 5000 m/s. What would this speed be, written as a Mach number? a) 2.2 b) 17.9 c) 5.1 d) 11.3 e) 14.6
An object of mass 200 g is released at rest from the apex of the inclined plane. Since it travels 120 cm in the first three seconds, what is the tilt angle of the inclined plane?
6.) A non-rotating, sliding pool ball collides with a stationary pool ball, how much energy does the first ball retain after the collision? a) 0% b) 25% c) 50% d) 100% e) Need to know mass of pool ball
Imagine a blackbody with a surface temperature of 228 K and a radius of 5 m. How many watts is the object radiating?
In the horizontal plane without friction, the ball of mass m1 = 1 kg hits the ball of mass m2 = 2 kg which is coming to a stop at 10 m/s. After the collision, the ball m1 scatters at an angle of 60°, while the ball m2 scatters at an angle of 37°. What is the final velocity of the ball m2? A:…
The driver of a car moving at 73.0 Km/h drops a road map on the floor. It takes him 3 seconds to locate and pick the map. How far did he travel during this time. The solution starts i need to convert 1 km/h into m/s why do i need to that? The problem only give us Km/h and seconds. is it because…
An object (300 g) is swung in a circle on the end of a 1.2 m length of rope. If the object is travelling at 0.60 ms-1 , calculate the tension in the rope.
Is Home Solar the Wave of the Future?
(a) An infinitely long cylindrical conductor has a radius of 20.0 cm and surface charge density of 10.0 microcoulomb/m^2. What is the electric field due to a cylindrical conductor of length 2.0 m at a distance of 1.5 m away from the cylinder? (b) An imaginary cylinder with radius 0.25 m and…
Is displacement always a vector, even if the object is in motion?
An image formed by a lens has a magnification of 3. What is the correct answer? a.) The image is 3 times farther than the object from the lens. b.) The image is 3 times taller than the object. c.) The image is 3 times wider than the object. d. All are correct
Three vectors have the components given below. A→ has components Ax = -2, Ay = 3 B→ has components Bx = 4, By = -2 C→ has components Cx = -5, Cy = -4 Find the magnitude and direction of the vector A→ + B→ + C→.
1) An X-Band microwave radar operates at a frequency of 9 GHz. What is the wavelength of the radiation emitted by the radar? 2) You are looking at two heated metal pieces. One looks red, and the other looks green. Which one is hotter? Explain. 3) A forest fire burns at a temperature of 700 °C.…
if the velocity of a wave remains constant and the period of the wave increases, then the wavelength of the wave_____. a. decreases b. cannot be determined c. remains the same d. increases
A particular car's acceleration one more can be described by the function a(t) =5.0/t. Calculate how fast the car will be traveling after 45.0 s.
Two rings of radius R = 2 cm each are 40 cm apart and concentric with a common vertical axis. Ring 1 carries a uniformly distributed charge of +3 nC, and Ring 2 carries a uniformly distributed charge of -4 nC. Point A is on the axis, halfway between the two rings. a. Find E1, the electric…
A 1200-kilogram car is cruising at a constant speed of 22 meters/second (50 miles/hour). What is the net force on the car? B. In the previous problem, if the car begins losing speed at a rate of 1 meter/second per second, what is the size of the net force on the car?
The roof of a house has an area of 1,334.3 ft. Determine the number of square meters that equals. answer in significant figures
As an electron orbits the nucleus, it can be thought of as a standing wave. Calculate the frequency of the wave if the electron is in the 4th energy level of hydrogen atom.
Match the terms with the statements. May use a term more than once or not at all. Conductance, Current, Depolarization, Capacitance, Potential, Charge 1) ____________ The net flow of charge from one point to another. 2) ____________ Results from the separation of unequal charges and requires an…
Dr. Goldstein looked with concern at the small man lying in the ICU bed. The nursing home had brought him to the hospital because of lung congestion. Dr. Goldstein glanced back at his notes: Ed, age 67, a white male with diabetes, high blood pressure, and poor vision. Somewhat mentally…
Assuming that biological substances are 98% water, estimate the masses of a cell with a diameter of 1.3 µm, a human kidney, and a fly. Take a kidney to be roughly a sphere with a radius of 3.8 cm and a fly to be roughly a cylinder 4.3 mm long and 2.9 mm in diameter.
While standing on a bridge 20.0 m above the ground, you drop a stone from rest. When the stone has fallen 3.40 m, you throw a second stone straight down. What initial velocity must you give the second stone if they are both to reach the ground at the same instant? Take the downward direction to…
Two thin copper plates both neutral and square are situated parallel to each other and 5mm apart. There is a 9V potential difference applied across both plates. If an electron starts with a velocity 6*10^5 m/s, at an angle of 20 degrees above the horizontal and 3mm away from the negatively…
A driver is traveling 18.0 m/s when she sees a red light ahead. Her car is capable of decelerating at a rate of 3.70 m/s2 . It takes her 0.420 s to get the brakes on and she is 20.0 m from the intersection when she sees the light. How far from the beginning of the intersection will she be?
For each of the three pairs of positions listed in the following table, determine the magnitude and direction (positive or negative) of the displacement. initial position final position a- +2.20 m +6.00m b- +5.60 m …
a) Under what circumstances is the net flux zero? Positive? Negative? b) Does the location of the charges that are inside the surface affect the net flux? c) Does the location of the charges that are outside the surface affect the net flux? d) Does the sum of the charge inside the surface…
Write your own vector problem that requires you to break at least two vectors into components, add them together and find the resultant vector. Solve the problem and include both the algebraic solution and a diagram for your solution. Something simple!
Problem 5 (3 points). A beam of unstable K+ mesons traveling at v = 0.8c passes through two detectors placed in sequence 8 meters apart. The particles suffer negligible deflection and loss of speed in passing through the detectors but produce electrical signals which can be counted. A beam of…
A boy throws a ball with an initial velocity of 23 m/s at an angle of 30° above the horizontal. If air resistance is negligible, how much time elapses before it is caught at the same height?
What is the lifetime of a hydrogen atom in the Rutherford model?
For the following parallel plate capacitor, A = 4 cm^2 and separation d = 8 mm. The left half of the gap is filled with material of dielectric constant κ1 = 10.00; the right half is filled with material of dielectric constant κ2 = 20.0. What is the capacitance?
The internal engine of a 1200-kg car is designed to run on octane (C8H18), whose enthalpy of combustion is 5510 kJ mol^-1. If the car is moving up a slope, calculate the maximum height in meters to which the car can be driven on 1.0 gallon of the fuel. Assume that the engine cylinder…
If you hit a golf ball and it takes off with a velocity of 38.83 m/s at an angle of 25.12 degrees above the horizontal, how far will it travel before hitting the ground? (Explain clearly)
Three source charges are stationary in the xy plane: Q1 = +8 nC at the origin, Q2 = +2 nC at (x2, y2) = (5,0) cm, and Q3 = -2 nC at (x3, y3) = (0,3) cm. There are no other charges nearby. (a) What are the three individual electric field vectors E1, E2, and E3 made by Q1, Q2, and Q3,…
What is the velocity with which you throw a ball upwards if it makes it to a height of 6.258 m? (Explain so I can put it in Excel).
Suppose you have a car that, along with passengers, has a mass of 1,271 kg. How much force does it take to achieve the acceleration needed to reach 27 m/s (60 mph) in 6 s?
If the acceleration a = 1.678 m/s^2 for a mass m = 2.242 kg object, what is the net force applied to the object? (Explain the problem clearly so I can put it in Excel).
The electric potential on the x-axis is given by V=x. What is the direction of the electric field at x= -5? The electric potential on the x-axis is given by V=x. What is the direction of the electric field at x= +5?
2. The velocity of sound in sea water is 1533 m/s. Find the bulk modulus (in N/m2) of sea water if its density is 1.025 x 103 kg/m3.
It is possible to hear an approaching train before you can see it by listening to the sound wave through the track. If the Young’s modulus is 2.0 x 1011 N/m2 and the density of steel is 7.8 x 103 kg/m3, approximately how many times faster is the speed of sound in the track than in air? (vair…
A mountain climber is attached to a rope. She slips, and after she has fallen 5.5 m, the rope begins to help decelerate her. If the constant deceleration is 5.5g, how many cm will the rope stretch before she stops? (For most real ropes, the deceleration depends on the stretching of the rope.)
Suppose you throw a stone straight up with an initial velocity of 20.5 m/s and, 3.5 s later you throw a second stone straight up with the same initial velocity. The first stone going down will meet the second stone going up. At what height above the point of release do the two stones meet?
A hot-air balloon is sinking toward the ground at a speed of 3.05 m/s when the pilot drops a couple of sandbags overboard. The balloon immediately begins to experience constant acceleration, such that it slows in its descent, turns around, and begins to rise. 24.8 s after dropping the sandbags,…
What is log of 1000 with base of 10?
Two point-like objects, A and B, each carry a positive charge Q; they are separated by a distance r. Let F0 represent the magnitude of the force of A on B. (By symmetry, since the charges are equal, the force of B on A is also F0.) Then, the charge on A is tripled to 3Q while the charge on B is…
Question 2 Given that forces describe interactions between objects, would you think that the force exerted by one charged object on another gets larger or smaller as the objects are moved farther apart?
Text: Use the exact values you enter to make later calculations. Three capacitors C1 = 5.5 µF, C2 = 10.0 µF, and C3 = 16.0 µF are connected as shown with a battery of voltage V = 18 V. (When entering units, use micro for the metric system…
Two point charges lie on the x-axis. A charge of +2.30 pC is at the origin, and a charge of -4.60 pC is at x = -13.0 cm. What third charge should be placed at x = +22 cm so that the total electric field at x = +11.0 cm is zero?
A steel ball is dropped from rest and falls for several s. How far does the ball fall during the ninth s? (You are asked to calculate the distance the ball has fallen from the end of the eighth s to ninth s. Neglect air resistance.)
Increasing the distance from a point charge will change the potential by a factor of how much?
While driving down a road a guy shoots a bullet straight up into the air. If there was no air resistance where would the bullet land?
Two-dimensional dynamics often involves solving for two unknown quantities in two separate equations describing the total force. The block in Figure 1 has a mass m = 10 kg and is being pulled by a force F on a table with a coefficient of static friction μs = 0.3. Four forces act on it: the…
A rocket rises vertically, from rest, with an acceleration of 3.1 m/s^2 until it runs out of fuel at an altitude of 1400 m. After this point, its acceleration is that of gravity, downward. a) What is the velocity of the rocket when it runs out of fuel? b) How long does it take to reach this…
A car, starting at 10 m/s (22.4 mph), accelerates at a rate of 3.0 m/s2 for 9.5 s. What is the car's final velocity?
Calculate the ratio of the electric force to the gravitational force for two electrons. Use me = 9.1*10^(-31) kg and q = 1.6*10^(-19) C a) 9.8 b) 4.2 x 10^42 c) 5.7 x 10^50 d) 2.4 x 10^(-43)
A point charge q1 = -9.5 μC is located at the center of a thick conducting shell of inner radius a = 2.4 cm and outer radius b = 4.1 cm. The conducting shell has a net charge of q2 = 2.5 μC. 1) What is Ex(P), the value of the x-component of the electric field at point P, located a distance…
IP Cell Membranes The cell membrane in a nerve cell has a thickness of 0.12 μm. Approximating the cell membrane as a parallel-plate capacitor with a surface charge density of 5.9 × 10^(-6) C/m^2, find the electric field within the membrane.
At what separation is the electrostatic force between a +10.5 μC point charge and a +29.8 μC point charge equal in magnitude to 1.87 N?
Find the net charge of a system consisting of 215 electrons and 163 protons.
16. A ball is thrown upward, reaching a height of 6.4 m above the level of release before falling back down. Ignore air friction. How fast was the ball moving (in m/s) when it was released? Answer: 11.2 17. Continuing with #16, how much total time is taken (in seconds) from the ball's release…
Consider two positively charged particles: one has charge Q, and the other has charge 2Q. These particles are separated by a distance of 4 μm. If the magnitude of the electric force that one particle exerts on the other is 72 mN, then what is Q? A. 12 pC B. 15 pC C. 18 pC D. 10 pC E. 8 pC F. 6…
The figure below shows a crate with a mass of m = 3.45 kg on a ramp inclined at an angle of 35.0°. The coefficient of static friction between the crate and the ramp is 0.300. Find the minimum magnitude of the force F (in N), applied to the crate in a direction perpendicular to the ramp, that…
A wire A and wire B are made of the same material. Wire A has twice the radius and half the length of wire B and resistance 8 Ω. What is the resistance of wire B?
What if we found evidence that the cosmological principle is wrong because there is a big region in the universe where the laws of physics are different from the ones on Earth: How should we then think about the laws of physics in yet other parts of the universe?
(a) Sketch the PV cycle of a Carnot engine on a PV diagram. Label the name of each process on the diagram, including whether it is an expansion or compression (e.g. "adiabatic compression"). (b) State the change in entropy in the phase of adiabatic compression.
You and a friend observe light from a laser on a pair of very narrow slits seperated by 0.5 micrometer and bright fringes are separated by 1.0 mm are observed on a distant screen, if you double the frequency of the laser light, what will be the distance of separation between bright fringes?
A. Which equation reflects a difference equation of a car that accelerates at 2 seconds? Equation: v(t) = 50 mph - (2 mph/sec) * t^2 I think it is 50 mph - (2 mph/sec) * (2)^2 but I am not sure. B. Alex is driving north along a highway at 50 mph when he passes a truck headed in the same…
A charged particle is placed at a point where the electric field is 5x10^8 N/C to the right. If the resulting electric force on the particle is 10x10^-4 N to the left, then what is the charge of this particle? A) -0.2 pC B) -0.5 pC C) +2 pC D) +0.5 pC E) -2 pC F) +0.2 pC
9. The electric current, i (in amps), in a circuit containing a 1 Henry inductor, a 15 ohm resistor, and a 9 volt battery is a function of the time, t (in seconds), given by the equation: i = 0.9(1 - e^(-15t)). a) Solve this equation for t. (Re-write the equation as t = expression with i) b)…
A capacitor of C = 1 F is charged with an initial electric energy of 11.1 J. It is then discharged through a resistor with resistance R = 3.98 Ω. After a full discharge, what is the energy dissipated in the resistor?
A particle fixed in position has a charge equal to -5e. What is the electric field at a distance of 12 nm from this charged particle? A) 5x10^7 N/C, away from the particle B) 5x10^7 N/C, toward the particle C) 2x10^9 N/C, toward the particle D) 2x10^9 N/C, away from the particle
Consider four charged particles 1, 2, 3, 4. Particle 1 attracts particle 3, and particle 2 attracts particle 4. If particle 4 repels particle 1, then a) particle 4 repels particle 3 B) particle 2 repels particle 3 C) particle 1 repels particle 2
A long solenoid has n turns per unit length and carries a sinusoidal current given by I = I0sin(2Ï€ft), where I is the peak current and f is its frequency. A small search coil consisting of N turns of mean cross-sectional area A is positioned in the solenoid at its midpoint with its plane…
In a speedometer test zone on a highway, you drive 5 miles in 6 minutes. During the test, your speedometer reading is 55 mph. What is your actual speed?
The annual income of a person from China is $18,000 (2018 est.) and is growing at a rate of 8% per year. In what year will it reach the (2017 est.) U.S. level of $60,000?
A soccer ball of mass 0.4 kg is rolling with velocity <0, 0, 3> m/s, when you kick it. Your kick delivers an impulse of magnitude 1.7 N·s in the -x direction. The net force on the rolling ball, due to the air and the grass, is 0.21 N in the direction opposite to the direction of the ball's…
The position of a particle as a function of time is given by x = (-5.06 m/s)t + (3.00 m/s^2)t^2. Calculate the average velocity of the particle from t = 0 to t = 1.50 s.
What is the most accurate statement about capacitors in parallel (i.e., independent of the values of their capacitance)? a. The charge on each capacitor is different b. The product of the charge and the potential drop is identical for each capacitor c. The potential drop across each capacitor…
A football player kicks a ball at 15 m/s at 30 degrees above the ground. Find the horizontal and vertical components of this velocity.
Solve this problem using the concept of Coulomb Forces. Two equal positive charges q1 = q2 = 2.0 µC are located at x = 0, y = 0.30 m and x = 0, y = -0.30 m, respectively. What are the magnitude and direction of the total electric force that q1 and q2 exert on a third charge Q = 4.0 µC at x =…
A conductor carries a current that is decreasing exponentially with time. The current is modeled as I = I0e−t/τ, where I0 = 8.00 A is the current at time t = 0.00 s and τ = 0.50 s is the time constant. How much charge flows through the conductor (in C) between t = 0.00 s and t = 5τ? …
A car is driving down a straight road at 40 m/s. The driver notices a dog in the road ahead and slams on the brakes. The car begins to slow down with a constant acceleration a = -2.5 m/s2. Determine how much time it takes for the car to stop and how far the car goes before it stops.
. An Olympic swimming pool measures 50.0 m long, 25.0 m wide, and 3.0 m deep. (a) What is the pool volume in cubic meters? (b) Health authorities recommend that you drink eight 8 oz glasses of water a day (i.e. 64 oz). At that rate, how many days would it take you to drain the entire pool by…
The sun, on average, is 93 million miles from Earth. How many meters is this? Express (a) using powers of 10, and (b) using a metric system prefix (km).
A mass hanging on a spring oscillates with a natural frequency of 3 rad/s. If initially it is displaced 0.17 m in the positive direction from equilibrium and given a negative initial velocity of 0.31 m/s, determine the position of the mass (in m) after 3 s. Assume up is the positive direction.
A putting green is located 160 feet horizontally and 55 feet vertically from the tee. What must be the magnitude and direction of the initial velocity if a ball is to strike the green at this location after a time of 2 seconds? Initial Velocity Magnitude = ? feet/second Initial Velocity…
A snowboarder glides down a 60-m-long, 15∘ hill. She then glides horizontally for 10 m before reaching a 22 ∘ upward slope. Assume the snow is frictionless. A) What is her velocity at the bottom of the hill? B) How far can she travel up the 22 ∘ slope?
A car traveling at 25.0 m/s runs out of gas while traveling up a 23.0 degree ∘ slope. How far up the hill will it coast before starting to roll back down?
A particle’s velocity along the x-axis is described by v(t) = A t + B t2, where t is in seconds, v is in meters per second, A = 0.92 m/s2, and B = -0.55 m/s3. A) What is the acceleration, in meters per second squared, of the particle at time t0 = 1.0 s? B) What is the displacement, in meters,…
When a charged particle of is placed at a point in space, it is subject to an electrostatic force of upward. What is the electric field strength at this point?
The electric charge flowing through an ordinary 115-volt, 150-watt lightbulb is 1.3 C/s. How many electrons per second does this amount to?
A tennis ball is thrown vertically from a height of 10m with an initial velocity of Voy = 12m/s. How long was the tennis ball in the air?
What is the magnitude of the force (in Newtons) exerted on a charge 4.6 mC by an electric field 234.5 N/C that points due east? Your answer should be a number with four decimal places, do not include the unit. Hint: 1 mC = 10^-3 C
Two positive charges are separated by a distance of 30 cm. One charge is 3 x 10-10 C and the other is 5 x 10-10 C. What is the magnitude of the total electric field at a point halfway between the two charges?
What is the magnitude (in N/C) and direction of an electric field that exerts a 2 x 10^-5 N upward force on a -1.8 µC charge? 1µC = 10^-6 C Indicate direction with a positive or a negative value. Keep in mind that a positive vector is directed upwards and a negative vector is directed…
Change the magnitude of vector A to 12 m, and find its x component. Give your answer in units of meters with 3 sig figs.
Two equal charges with magnitude Q and Q experience a force F1 when held at a distance r. F2 is the force between two charges of magnitude 6*Q and 3*Q when held at a distance r/2? What is the ratio of F2 to F1?
2. A golf ball leaves the tee with a velocity of 30 ft/s at 50°. If it lands on a green located 9 feet higher than the tee, what was the time of flight? Why were there two possible solutions for the time value? Which did you pick as the correct one and why?
Calculate the magnitude of the electric field (in N/C) at 3.8 m from a point charge of 6.4 µC. You should round the answer to an integer, indicating only the number, do not include the unit. Hint: 1 µC = 10^-6 C
The position of a particle as a function of time is given by x = (-4.93 m/s)t + (3.10 m/s^2)t^2. Calculate the average velocity of the particle from t = 0 to t = 1.50 s. -2.80×10^-1 m/s. You are correct. Calculate the average speed from t = 0 to t = 1.50 s. I correctly calculated the first…
For point charge -5.2 µC and point charge 4.3 µC located at the same positions as in the previous question (5 m and 4 m, respectively), determine the magnitude of the net electric field E at the origin (in N/C). Your answer should be a number with two decimal places, do not include the unit.…
The outermost part of the region of the earth is completely surrounded by the innermost of the transparent orbs carrying the moon, and is everywhere in contact with. This orb (along with everything else in the heavens) rotates once every 24 hours. This orb is solid; the elements beneath it are…
Explain the advantages/disadvantages of computing the electric field and the electric potential from a known charge distribution.
A playground is on the flat roof of a city school, hb = 5.50 m above the street below (see figure). The vertical wall of the building is h = 6.60 m high, to form a 1.1-m-high railing around the playground. A ball has fallen to the street below, and a passerby returns it by launching it at an…
A dime is dropped from a hot-air balloon that is 305 m above the ground and rising vertically at 8.5 m/s. For this problem use a coordinate system in which up is positive Part (a) Find the maximum height, in meters, that the dime attains. Part (b) Find its height above the ground, in…
An AC generator supplies a peak voltage of 175 V at 50.0 Hz. The generator is connected in series with a 35-mH inductor, an 85-µF capacitor, and a 55-Ω resistor. (a) What is the capacitive reactance for this circuit? (b) What is the inductive reactance for this circuit? (c) What is the…
a driver speeds up from 1.9 m/s to 3.8 m/s in 5.3 seconds, with a constant acceleration. The driver's speed (m/sec) at 13.2 seconds is
which of the following is not a cause of measurement uncertainty? 1) Irregularities in the object being measured. 2) Errors due to misusing the measurement tool. 3) Limits in the accuracy of the measurement tool. 4) Limits in the precision of the measurement tool.
If there is one object with a charge of 100C, and it hits another object with a charge of 70C, what is the new charge on each object? i meant to put -70C for the second one
A shot-putter throws the "shot" (mass = 7.3 kg) with an initial speed of 14.3 m/s at a 38.0 degree angle to the horizontal. Calculate the horizontal distance traveled by the shot if it leaves the athlete's hand at a height of 2.20 m above the ground. Express your answer using three significant…
10. How would you calculate how much heat a block of ice must receive to turn it into steam?
Compute the values of Rh and the voltage drops across this resistance for the two situations in TI Data Table 1, reading 1. How do the values compare? Readings at Different Rheostat Settings 30 Ω VS (V - Volts) 30 Ω IS (A - Amps) 50 Ω VS (V - Volts) 50 Ω IS (A - Amps) 20% Rheostat 3.1 V 0.1…
A group of individuals conducts a test of relative motion. Mounting an airgun in the back of a pickup, they shoot a soccer ball backwards at 40 km/h relative to the pickup, which was traveling at only 30 km/h. a.) What velocity would a camera, located on the ground, detect? b.) What…
Which had greater kinetic energy a Volkswagen car moving at 60 mi/hr or a Lincoln Continental moving at the same speed? Why does one have more KE than the other when they move at the same speed
If the velocity of an object is 0 m/s. Must the acceleration be 0 m/s^2 ? yes or no?
QUESTION 9 A proton starts at velocity 9.73x10^4i m/s moving through an electric field -221i N/C. How far will the proton move, in cm, before it comes momentarily to rest? QUESTION 10 Two point charges lie on the x-axis: qA = 9.14 μC is at the origin and qB = -9.14 μC at (81.6 m,0).…
Title_with_topic: "Graphing the Electric Force between Two Charges as a Function of Separation Distance
A item volume is 798.01 cm³ and its density is d = 1.02 g/cm³. Another item volume is V = 1179.34 cm³ with a density of 1.08 g/cm³. I have to explain why there is a huge difference in volume but not so much in density. The mass of the first item is 816.47 g and the second item is 1179.34 g.
QUESTION 5 Two positive point charges are fixed on the x-axis: q1 is at the origin and q2 = 8.83q1 is at (83.7 cm, 0). You now place a third charge Q on the x-axis at (x,0) and it remains at rest. Find x in cm. NOTE: The answer does not depend on the value or sign of Q. QUESTION 6 Point charge…
Alex drives to Times Square at 65 mph, and Tim drives from New Rochelle, 20 miles away, at 40 mph. Where do they meet for lunch? Give your answer as a distance from Times Square in meters.
Title: Excel Graph of Electric Forces vs. Product of Charges at a Fixed Distance No of Measurements Charge (q1) in C Charge (q2) in C Distance in 'm' Electrostatic force in N Calculated Simulated Difference 1 +2 x 10^-6 +3 x 10^-6 0.04 …
Two charges -1 µC and 2 µC are placed at the corners A and B of an equilateral triangle ABC of side 2 m. Calculate the Electric Field at C.
A ball is thrown straight up from the edge of the roof of a building. A second ball is dropped from the roof a time of 1.02 s later. You may ignore air resistance. a)If the height of the building is 20.3 m, what must the initial speed be of the first ball if both are to hit the ground at the…
A child's toy consists of a piece of plastic attached to a spring in the figure below. The spring is compressed against the floor a distance of 2.00 cm, and the toy is released. If the toy has a mass of 80 g and rises to a maximum height of 40.0 cm, estimate the force constant of the spring.
An AC circuit has a 20 Ω resistor, 6 H inductor and a capacitor connected in series that has the least impedance when the frequency of the generator is 10 kHz. At what frequency is the least impedance if the inductor is replaced with a 10 H inductor?
A wave with a frequency of 10 Hz originates from a point source and travels through copper. The density of copper is 8960 kg/m3 and the elastic modulus is 117 x 109 N/m2 . a) What is the speed of the wave? b) If the intensity is 1250 W/m2 at a distance of 10 m from the source, what is the…
Draw the electric field lines for a positive charge of +4, interacting with a negative charge of -1.
15. Little Nancy will manufacture a float of a cylindrical cork with a density of 0.25 g / cm3. The diameter of the cork is 15 mm and the height is 5.0 cm. In the float, she intends to attach a fishing line with a sinker and hook. The sink, hook (and mask) together weigh 5.0 g and have a…
On the coordinate plane, a charge Qa = +4μC is located on the y-axis, 6 cm from the origin. A charge Qb = -2μC is also located on the y-axis, -4 cm from the origin. A third charge Qc = +2μC is located at (x, y) = (5 cm, -4 cm). Find the net electrostatic force on charge Qb due to the other…
An equal-area map projection is one where there is a constant proportionality between areas on the map and areas on the surface of the globe. Given x = Lφ/2Ï€, what function y(λ) would produce an equal-area map? Hint: make sure the infinitesimal area dxdy has a constant of proportionality…
Two strings are attached between two poles separated by a distance of 4.50 m as shown below, both under the same tension of 900.00 N. String 1 has a linear density of μ1 = 0.0020 kg/m and string 2 has a linear mass density of μ2 = 0.0031 kg/m.. Transverse wave pulses are generated…
If a car initially has velocity vector <300 m/s, 0,0> and has a change of velocity <0, 400 m/s,0> what will be the new velocity vector? What direction will the velocity point (angle from the x-axis)? What will be the new speed? Please show your work.
The kinematic equations can describe phenomena other than motion through space and time. Suppose x represents a person's bank account balance. The units of x would be dollars ($) and velocity v would give the rate at which the balance changes (in units of, for example, $/month).…
A ship leaves St. John's Harbour, sails east, and covers a distance of 150 km. It then changes direction to 35.0° south of east and travels another 250 km. Determine the final position of the ship.
a ball starts from rest and rolls down the hill with an acceleration of 3 m/s^2. if the ball travels for 4 s what is the final speed?
The boy at an amusement park move in circle of radius 12 m per 8 revolutions every minute. Find the angular velocity and centripetal acceleration.
The graph show the energy change in U for n moles of an ideal gas with temperature T. calculate the heat capacity at constant pressure!
A physics student who is also a pilot is preparing to fly from the Goshen airport home to Kalona, Iowa, which is due west. Her plane flies with an airspeed (its speed relative to the air) of 108 knots. There is a strong wind blowing at 21 knots coming from the northwest. a. What heading should…
1.A person starts walking at point A on earth. She walks 10 km to the south, stops, then walks 10 km to the east, stops, then 10 km to the north, and she is back at point A where she started. How many points on the surface of the earth that will meet this condition? Why? 2. Are officers in the…
a) (4 units, 140 degrees) coordinates b) (-3 units, 6 units) coordinates Identify the representation and quadrant and sketch them.
Compute an experimental acceleration due to gravity, g value, using the mean time of 0.52 seconds, the height of 2 meters, and compare with the g value of 9.8m/s^2
We will learn in this class that in equilibrated systems, every object has a characteristic amount of kinetic energy, often called the "thermal energy". It is numerically equal to the temperature times the Boltzmann constant, times a numerical constant of order one that we don't have to worry…
A + 7.2 nC point charge and a -2.0 nC point charge are 3.7 cm apart. What is the electric field strength at the midpoint between the two charges? 2. Corrected_text: A glass bead charged to +3.2 nC exerts a 7.0 × 10^−4 N repulsive electric force on a plastic bead 2.5 cm away. What is the…
A model rocket leaves the ground, heading straight up at 49 m/s. (a) What's its maximum altitude? Find its speed and altitude at (b) 1 s, (c) 4 s, and (d) 7 s. Answers: [(a) 120 m, (b) 39 m/s, 44 m, (c) 9.8 m/s, 120 m, (d) -20 m/s, 100 m]
Express the following angles in radians: (a) 17.5°, (b) 48.9°, (c) 103°. Convert the following angles to degrees: (d) 0.318 rad, (e) 1.31 rad, (f) 8.73 rad.
A high voltage transmission line has an aluminum cable of diameter 5.3 cm and is 181 km long. The resistivity of Aluminum is 2.8*10-8 Ωm. What is the resistance of this cable in Ω? Enter a number with one digit behind the decimal point.
Demonstrate that when Angular Moment is worth zero, the movement is in a straight line and along the radial direction.
A delivery truck travels 20 blocks north, 16 blocks east, and 27 blocks south. What is its final displacement from the origin (magnitude)? Assume the blocks are equal length. Express your answer as an integer.
A delivery truck travels 20 blocks north, 16 blocks east, and 27 blocks south. What is its final displacement from the origin (direction)? Express your answer using three significant figures.
The temperature difference between the inside and the outside of a building on a cold winter day is 32°F. (a) Express this difference on the Celsius scale. Note that the given value is a temperature difference or change, not a single temperature measurement. Think about how the size of one unit…
A pitcher throws a baseball with an initial speed of 50 m/s at a height of 1 meter above the ground. Answer the following questions assuming that the batter misses the ball and there is nothing behind the batter to stop the ball. How long does it take for the ball to hit the ground?
On January 7 in New York City, the air temperature near the Brooklyn Bridge is -5.000 °C. At that temperature, a steel girder in the supporting structure of the bridge is 8.000 m long. On July 17 in New York City, the length of the same steel girder is 8.003 m. What is the Fahrenheit…
How much heat is necessary to change 565 g of ice at -11°C to water at 20°C?
1. Which of the following would correspond to an increase in the thermal energy of a container of gas molecules? i. An increase in the temperature of the gas ii. An increase in the speed of the randomly moving gas molecules 2. The human body would be an example of what kind of system? An open…
1. The SR-71 Blackbird spy plane was built by Lockheed Martin in the 1960s and could exceeds 1. 2190 mph Mach 3 ( 3times the speed of sound). it could literally outrun any missile shot at it! What was its speed if it 2. 0.24 km/h could travel more than 73 miles in 2.0 minutes. What is its…
A car is traveling east at 25.5 m/s. If it accelerates at 0.75 m/s2 in 8.3 s, what is the final velocity? Use the following equation to calculate the final velocity: vf = vi + at, where vi is the initial velocity, t is time, and a is the acceleration. State the answer using the correct number…
Home furnaces use a flame detector to shut down the gas delivery if the fire extinguishes. The detector consists of one simple stainless steel electrode (wire), isolated from the electrical ground of the furnace, that extends in front of the burner. The far end (tip) of this electrode reaches…
Below is the calculator result for the operations indicated. Enter the answer to the correct number of significant figures for this calculation, using the rules for significant figures. (2.20 − 0.0057 + 51) × 3.14159 = 167.114680937
You have a summer job working for a swimming pool construction company. Your boss gives you the following task. He is preparing to install a swimming pool that measures (10.0 ± 0.1) m by (17.0 ± 0.1) m. The homeowners have asked for a sidewalk to be constructed around the pool. The sidewalk is…
Draw the phasor diagram of a capacitive RLC circuit. Explain clearly and provide all details of your answer.
Question 1. Convert the following into the units indicated in brackets. (a) 25 kg/m^3 (g/mm^3) (b) 100 cal/kg (J/g) (c) 250 J/mK (mJ/K) Question 2. Express the normal body temperature of 37°C in Fahrenheit and Kelvin. Question 3. Your heart beats 70 times per minute (when you are resting). How…
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