Question 1

In a certain region,the electric potential due to a charge distribution is given by the equation
V(x,y)= 2xy - x2 - y,where x and y are measured in meters and V is in volts.At which point is the electric field equal to zero?

Accepted Answer

A)  x = 0.5 m, y = 1 m 
B)  x = 1 m, y = 1 m 
C)  x = 1 m, y = 0.5 m 
D)  x = 0.5 m, y = 0.5 m 
E)  x = 0 m, y = 0 m

Question 2

The work performed as a function of time for a process is given by W = at3,where a = 2.4 J/s3. What is the instantaneous power output at t = 3.7 s?

Accepted Answer

A)  99 W 
B)  69 W 
C)  139 W 
D)  208 W

Question 3

Two very long parallel wires are a distance d apart and carry equal currents in opposite directions.The locations where the net magnetic field due to these currents is equal to zero are

Accepted Answer

A)  midway between the wires. 
B)  a distance d/2 to the left of the left wire and also a distance d/2 to the right of the right wire. 
C)  a distance d to the left of the left wire and also a distance d to the right of the right wire. 
D)  a distance d/  to the left of the left wire and also a distance d/
 to the right of the right wire. 
E)  The net field is not zero anywhere.

Question 4

The figure shows an acceleration-versus-force graph for three objects pulled by rubber bands.The mass of object 2 is 36 kg.What are the masses of objects 1 and 3?

Accepted Answer

A)  14 kg and 90 kg 
B)  72 kg and 18 kg 
C)  90 kg and 18 kg 
D)  14 kg and 72 kg

Question 5

A spaceship approaching an asteroid at a speed of 0.60c launches a rocket forward with a speed of 0.40c relative to the spaceship.At what speed is the rocket approaching the asteroid as measured by an astronaut on the asteroid?

Accepted Answer

A)  0.81c 
B)  1.0c 
C)  0.76c 
D)  0.64c 
E)  0.96c

Question 6

A very small source of light that radiates uniformly in all directions produces an electric field amplitude of 2.96 V/m at a point 33.0 m from the source.What is the power output from the source? (c = 3.00 × 10⁸ m/s,μ₀ = 4π × 10^-7 T • m/A,ε₀ = 8.85 × 10^-12 C²/N • m²)

Accepted Answer

The answer of A very small source of light that...

Question 7

Two point charges of +1.0 μC and -2.0 μC are located 0.50 m apart.What is the minimum amount of work needed to move the charges apart to double the distance between them?
(k = 1/4πε0 = 8.99 × 109 N • m2/C2)

Accepted Answer

A)  -36 mJ 
B)  +18 mJ 
C)  0 mJ 
D)  +36 mJ 
E)  -18 mJ

Question 8

A sound source emits 20.0 W of acoustical power spread equally in all directions.The threshold of hearing is 1.0 × 10-12 W/m2.What is the sound intensity level 30.0 m from the source?

Accepted Answer

A)  92.5 dB 
B)  81.5 dB 
C)  1.77 × 10-3 dB 
D)  1.77 × 10-3 W 
E)  -27.5 dB

Question 9

Light of wavelength 105 nm falls on a metal surface for which the work function is 5.00 eV.What is the minimum de Broglie wavelength of the photoelectrons emitted from this metal?
(h = 6.626 × 10-34 J • s = 4.14 × 10-15 eV • s,c = 3.00 × 108 m/s,mel = 9.11 × 10-31 kg,1 eV = 1.60 × 10-19 J)

Accepted Answer

A)  0.24 nm 
B)  0.33 nm 
C)  0.47 nm 
D)  0.66 nm 
E)  0.94 nm

Question 10

A conducting sphere contains positive charge distributed uniformly over its surface.Which statements about the potential due to this sphere are true? All potentials are measured relative to infinity.(There may be more than one correct choice.)

Accepted Answer

A)  The potential is lowest, but not zero, at the center of the sphere. 
B)  The potential at the center of the sphere is zero. 
C)  The potential at the center of the sphere is the same as the potential at the surface. 
D)  The potential at the surface is higher than the potential at the center. 
E)  The potential at the center is the same as the potential at infinity.

Question 11

A 1000-kg car is driving toward the north along a straight horizontal road at a speed of 20.0 m/s. The driver applies the brakes and the car comes to a rest uniformly in a distance of 200 m.What are the magnitude and direction of the net force applied to the car to bring it to rest?

Accepted Answer

A)  1.00 N north 
B)  10.0 × 103 N south 
C)  1.00 × 103 N south 
D)  1.00 N south 
E)  100 N south

Question 12

What is the energy of a photon that has a wavelength equal to the de Broglie wavelength of a proton having a speed of 7.1 × 104 m/s? (mproton = 1.67 × 10-27 kg,c = 3.00 × 108 m/s)

Accepted Answer

A)  220 keV 
B)  150 keV 
C)  290 keV 
D)  360 keV 
E)  440 keV

Question 13

A 2.00-kg block of ice at 0.00°C is dropped into a very large lake at 25.0°C and completely melts.For water,the heat of fusion is 3.35 × 105 J/kg,the heat of vaporization is 2.25 × 105 J/kg,and the specific heat is 4190 J/kg•K.The net change in entropy of the system consisting of the ice and the lake due to this melting process is closest to

Accepted Answer

A)  2.45 × 103 J/K. 
B)  2.24 × 103 J/K. 
C)  2.06 × 102 J/K. 
D)  -2.45 × 103 J/K. 
E)  -2.06 × 102 J/K.

Question 14

Two equal point charges Q are separated by a distance d.One of the charges is released and moves away from the other due only to the electrical force between them.When the moving charge is a distance 3d from the other charge,what is its kinetic energy?

Accepted Answer

The answer of Two equal point charges Q are separated...

Question 15

Jacques and George meet in the middle of a lake while paddling in their canoes.They come to a complete stop and talk for a while.When they are ready to leave,Jacques pushes George's canoe with a force  to separate the two canoes.What is correct to say about the final momentum and kinetic energy of the system if we can neglect any resistance due to the water?

Accepted Answer

A)  The final momentum is in the direction of  but the final kinetic energy is zero. 
B)  The final momentum is in the direction opposite of  but the final kinetic energy is zero. 
C)  The final momentum is in the direction of  and the final kinetic energy is positive. 
D)  The final momentum is zero and the final kinetic energy is zero. 
E)  The final momentum is zero but the final kinetic energy is positive.

Question 16

A nonrelativistic electron and a nonrelativistic proton have the same de Broglie wavelength.Which of the following statements about these particles are accurate? (There may be more than one correct choice.)

Accepted Answer

A)  Both particles have the same speed. 
B)  Both particles have the same kinetic energy. 
C)  Both particles have the same momentum. 
D)  The electron has more kinetic energy than the proton. 
E)  The electron has more momentum than the proton.

Question 17

Light of wavelength 687 nm is incident on a single slit 0.75 mm wide. At what distance from the slit should a screen be placed if the second dark fringe in the diffraction pattern is to be 1.7 mm from the center of the diffraction pattern?

Accepted Answer

A)  0.39 m 
B)  0.47 m 
C)  0.93 m 
D)  1.1 m 
E)  1.9 m

Question 18

The three loops of wire shown in the figure are all subject to the same uniform magnetic field  that does not vary with time.Loop 1 oscillates back and forth as the bob in a pendulum,loop 2 rotates about a vertical axis,and loop 3 oscillates up and down at the end of a spring.Which loop,or loops,will have an emf induced in them?

Accepted Answer

A)  loop 1 only 
B)  loop 2 only 
C)  loop 3 only 
D)  loops 1 and 2 
E)  loops 2 and 3

Question 19

When an object is solely under the influence of conservative forces,the sum of its kinetic and potential energies does not change.

Accepted Answer

A) True 
 B)False

Question 20

A small glider is coasting horizontally when suddenly a very heavy piece of cargo falls out of the bottom of the plane.You can neglect air resistance.Just after the cargo has fallen out

Accepted Answer

A)  the plane speeds up and the cargo slows down. 
B)  the plane speeds up but the cargo does not change speed. 
C)  neither the cargo nor the plane change speed. 
D)  the cargo slows down but the plane does not change speed. 
E)  both the cargo and the plane speed up.

Exam 1: A: Foundations

In a certain region,the electric potential due to a charge distribution is given by the equation V(x,y) = 2xy - x² - y,where x and y are measured in meters and V is in volts.At which point is the electric field equal to zero?

The work performed as a function of time for a process is given by W = at³,where a = 2.4 J/s³. What is the instantaneous power output at t = 3.7 s?

Two very long parallel wires are a distance d apart and carry equal currents in opposite directions.The locations where the net magnetic field due to these currents is equal to zero are

The figure shows an acceleration-versus-force graph for three objects pulled by rubber bands.The mass of object 2 is 36 kg.What are the masses of objects 1 and 3?

A spaceship approaching an asteroid at a speed of 0.60c launches a rocket forward with a speed of 0.40c relative to the spaceship.At what speed is the rocket approaching the asteroid as measured by an astronaut on the asteroid?

A very small source of light that radiates uniformly in all directions produces an electric field amplitude of 2.96 V/m at a point 33.0 m from the source.What is the power output from the source? (c = 3.00 × 10⁸ m/s,μ₀ = 4π × 10^-7 T • m/A,ε₀ = 8.85 × 10^-12 C²/N • m²)

Two point charges of +1.0 μC and -2.0 μC are located 0.50 m apart.What is the minimum amount of work needed to move the charges apart to double the distance between them? (k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C²)

A sound source emits 20.0 W of acoustical power spread equally in all directions.The threshold of hearing is 1.0 × 10^-12 W/m².What is the sound intensity level 30.0 m from the source?

A conducting sphere contains positive charge distributed uniformly over its surface.Which statements about the potential due to this sphere are true? All potentials are measured relative to infinity.(There may be more than one correct choice.)

A 1000-kg car is driving toward the north along a straight horizontal road at a speed of 20.0 m/s. The driver applies the brakes and the car comes to a rest uniformly in a distance of 200 m.What are the magnitude and direction of the net force applied to the car to bring it to rest?

What is the energy of a photon that has a wavelength equal to the de Broglie wavelength of a proton having a speed of 7.1 × 10⁴ m/s? (m_proton = 1.67 × 10^-27 kg,c = 3.00 × 10⁸ m/s)

Two equal point charges Q are separated by a distance d.One of the charges is released and moves away from the other due only to the electrical force between them.When the moving charge is a distance 3d from the other charge,what is its kinetic energy?

A nonrelativistic electron and a nonrelativistic proton have the same de Broglie wavelength.Which of the following statements about these particles are accurate? (There may be more than one correct choice.)

Light of wavelength 687 nm is incident on a single slit 0.75 mm wide. At what distance from the slit should a screen be placed if the second dark fringe in the diffraction pattern is to be 1.7 mm from the center of the diffraction pattern?

When an object is solely under the influence of conservative forces,the sum of its kinetic and potential energies does not change.

A small glider is coasting horizontally when suddenly a very heavy piece of cargo falls out of the bottom of the plane.You can neglect air resistance.Just after the cargo has fallen out

Exam 1: A: Foundations

In a certain region,the electric potential due to a charge distribution is given by the equation V(x,y) = 2xy - x2 - y,where x and y are measured in meters and V is in volts.At which point is the electric field equal to zero?

The work performed as a function of time for a process is given by W = at3,where a = 2.4 J/s3. What is the instantaneous power output at t = 3.7 s?

Two very long parallel wires are a distance d apart and carry equal currents in opposite directions.The locations where the net magnetic field due to these currents is equal to zero are

The figure shows an acceleration-versus-force graph for three objects pulled by rubber bands.The mass of object 2 is 36 kg.What are the masses of objects 1 and 3?

A spaceship approaching an asteroid at a speed of 0.60c launches a rocket forward with a speed of 0.40c relative to the spaceship.At what speed is the rocket approaching the asteroid as measured by an astronaut on the asteroid?

A very small source of light that radiates uniformly in all directions produces an electric field amplitude of 2.96 V/m at a point 33.0 m from the source.What is the power output from the source? (c = 3.00 × 108 m/s,μ0 = 4π × 10-7 T • m/A,ε0 = 8.85 × 10-12 C2/N • m2)

Two point charges of +1.0 μC and -2.0 μC are located 0.50 m apart.What is the minimum amount of work needed to move the charges apart to double the distance between them? (k = 1/4πε0 = 8.99 × 109 N • m2/C2)

A sound source emits 20.0 W of acoustical power spread equally in all directions.The threshold of hearing is 1.0 × 10-12 W/m2.What is the sound intensity level 30.0 m from the source?

Light of wavelength 105 nm falls on a metal surface for which the work function is 5.00 eV.What is the minimum de Broglie wavelength of the photoelectrons emitted from this metal? (h = 6.626 × 10-34 J • s = 4.14 × 10-15 eV • s,c = 3.00 × 108 m/s,mel = 9.11 × 10-31 kg,1 eV = 1.60 × 10-19 J)

A conducting sphere contains positive charge distributed uniformly over its surface.Which statements about the potential due to this sphere are true? All potentials are measured relative to infinity.(There may be more than one correct choice.)

A 1000-kg car is driving toward the north along a straight horizontal road at a speed of 20.0 m/s. The driver applies the brakes and the car comes to a rest uniformly in a distance of 200 m.What are the magnitude and direction of the net force applied to the car to bring it to rest?

What is the energy of a photon that has a wavelength equal to the de Broglie wavelength of a proton having a speed of 7.1 × 104 m/s? (mproton = 1.67 × 10-27 kg,c = 3.00 × 108 m/s)

Two equal point charges Q are separated by a distance d.One of the charges is released and moves away from the other due only to the electrical force between them.When the moving charge is a distance 3d from the other charge,what is its kinetic energy?

A nonrelativistic electron and a nonrelativistic proton have the same de Broglie wavelength.Which of the following statements about these particles are accurate? (There may be more than one correct choice.)

Light of wavelength 687 nm is incident on a single slit 0.75 mm wide. At what distance from the slit should a screen be placed if the second dark fringe in the diffraction pattern is to be 1.7 mm from the center of the diffraction pattern?

When an object is solely under the influence of conservative forces,the sum of its kinetic and potential energies does not change.

A small glider is coasting horizontally when suddenly a very heavy piece of cargo falls out of the bottom of the plane.You can neglect air resistance.Just after the cargo has fallen out

In a certain region,the electric potential due to a charge distribution is given by the equation V(x,y) = 2xy - x² - y,where x and y are measured in meters and V is in volts.At which point is the electric field equal to zero?

The work performed as a function of time for a process is given by W = at³,where a = 2.4 J/s³. What is the instantaneous power output at t = 3.7 s?

A very small source of light that radiates uniformly in all directions produces an electric field amplitude of 2.96 V/m at a point 33.0 m from the source.What is the power output from the source? (c = 3.00 × 10⁸ m/s,μ₀ = 4π × 10^-7 T • m/A,ε₀ = 8.85 × 10^-12 C²/N • m²)

Two point charges of +1.0 μC and -2.0 μC are located 0.50 m apart.What is the minimum amount of work needed to move the charges apart to double the distance between them? (k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C²)

A sound source emits 20.0 W of acoustical power spread equally in all directions.The threshold of hearing is 1.0 × 10^-12 W/m².What is the sound intensity level 30.0 m from the source?

What is the energy of a photon that has a wavelength equal to the de Broglie wavelength of a proton having a speed of 7.1 × 10⁴ m/s? (m_proton = 1.67 × 10^-27 kg,c = 3.00 × 10⁸ m/s)