Question 1

You walk 55 m to the north,then turn 60° to your right and walk another 45 m.How far are you from where you originally started?

Accepted Answer

A)  87 m 
B)  50 m 
C)  94 m 
D)  46 m 
A)  87 m 
B)  50 m 
C)  94 m 
D)  46 m

Question 2

The captain of spaceship A observes enemy spaceship E escaping with a relative velocity of 0.48c,as shown in the figure.A missile M is fired from ship A,with a velocity of 0.72c relative to ship A.What is the relative velocity of approach of missile M,observed by the crew on ship E?

Accepted Answer

A)  0.37c 
B)  0.24c 
C)  0.34c 
D)  0.30c 
E)  0.27c 
A)  0.37c 
B)  0.24c 
C)  0.34c 
D)  0.30c 
E)  0.27c

Question 3

A string is attached to the rear-view mirror of a car.A ball is hanging at the other end of the string.The car is driving around in a circle,at a constant speed.Which of the following lists gives all of the forces directly acting on the ball?

Accepted Answer

A)  tension and gravity 
B)  tension 
C)  tension, gravity, and the centripetal force 
D)  tension, gravity, the centripetal force, and friction 
A)  tension and gravity 
B)  tension 
C)  tension, gravity, and the centripetal force 
D)  tension, gravity, the centripetal force, and friction

Question 4

A rectangular coil having N turns and measuring 15 cm by 25 cm is rotating in a uniform 1.6-T magnetic field with a frequency of 75 Hz.The rotation axis is perpendicular to the direction of the field.If the coil develops a sinusoidal emf of maximum value 56.9 V,what is the value of N?

Accepted Answer

A)  2 
B)  4 
C)  6 
D)  8 
E)  10 
A)  2 
B)  4 
C)  6 
D)  8 
E)  10

Question 5

You are designing a generator to have a maximum emf of 8.0 V. If the generator coil has 200 turns and a cross-sectional area of 0.030 m2,what should be the frequency of the generator in a uniform magnetic field of 0.030 T?

Accepted Answer

A)  7.1 Hz 
B)  7.5 Hz 
C)  8.0 Hz 
D)  22 Hz 
E)  44 Hz 
A)  7.1 Hz 
B)  7.5 Hz 
C)  8.0 Hz 
D)  22 Hz 
E)  44 Hz

Question 6

A box slides down a frictionless plane inclined at an angle θ above the horizontal.The gravitational force on the box is directed

Accepted Answer

A)  parallel to the plane in the same direction as the movement of the box. 
B)  parallel to the plane in the opposite direction as the movement of the box. 
C)  perpendicular to the plane. 
D)  vertically. 
E)  at an angle θ below the inclined plane. 
A)  parallel to the plane in the same direction as the movement of the box. 
B)  parallel to the plane in the opposite direction as the movement of the box. 
C)  perpendicular to the plane. 
D)  vertically. 
E)  at an angle θ below the inclined plane.

Question 7

Three solid,uniform,cylindrical flywheels,each of mass 65.0 kg and radius 1.47 m rotate independently around a common axis.Two of the flywheels rotate in one direction at 3.83 rad/s; the other rotates in the opposite direction at 3.42 rad/s.Calculate the magnitude of the net angular momentum of the system.

Accepted Answer

A)  298 kg • m2/s 
B)  778 kg • m2/s 
C)  257 kg • m2/s 
D)  222 kg • m2/s 
A)  298 kg • m2/s 
B)  778 kg • m2/s 
C)  257 kg • m2/s 
D)  222 kg • m2/s

Question 8

Three point charges are placed on the x-axis.A charge of +2.0 μC is placed at the origin,-2.0 μC to the right at x = 50 cm,and +4.0 μC at the 100 cm mark. What are the magnitude and direction of the electrostatic force that acts on the charge at the origin? (k = 1/4πε0 = 8.99 × 109 N • m2/C2)

Accepted Answer

0.072 N
,t

Question 9

A child throws a ball with an initial speed of 8.00 m/s at an angle of 40.0° above the horizontal.The ball leaves her hand 1.00 m above the ground and experience negligible air resistance.
(a) What is the magnitude of the ball's velocity just before it hits the ground?
(b) At what angle below the horizontal does the ball approach the ground?

Accepted Answer

(a)9.14 m/

Question 10

An ideal parallel-plate capacitor consists of a set of two parallel plates of area A separated by a very small distance d.When this capacitor is connected to a battery that maintains a constant potential difference between the plates,the energy stored in the capacitor is U0.If the separation between the plates is doubled,how much energy is stored in the capacitor?

Accepted Answer

A)  4U0 
B)  2U0 
C)  U0 
D)  U0/2 
E)  U0/4 
A)  4U0 
B)  2U0 
C)  U0 
D)  U0/2 
E)  U0/4

Question 11

A coil lies flat on a tabletop in a region where the magnetic field vector points straight up.The magnetic field vanishes suddenly.When viewed from above,what is the direction of the induced current in this coil as the field fades?

Accepted Answer

A)  counter-clockwise then clockwise 
B)  clockwise then counter-clockwise 
C)  clockwise 
D)  counter-clockwise 
E)  There is no current induced in the coil. 
A)  counter-clockwise then clockwise 
B)  clockwise then counter-clockwise 
C)  clockwise 
D)  counter-clockwise 
E)  There is no current induced in the coil.

Question 12

A nuclear fission power plant has an actual efficiency of 39%.If 0.25 MW of power are produced by the nuclear fission,how much electric power does the power plant output?

Accepted Answer

A)  0.098 MW 
B)  9.8 MW 
C)  35 MW 
D)  0.35 MW 
A)  0.098 MW 
B)  9.8 MW 
C)  35 MW 
D)  0.35 MW

Question 13

Two point charges of +2.0 μC and -6.0 μC are located on the x-axis at x = -1.0 cm and x = +2.0 cm respectively.Where should a third charge of +3.0-μC be placed on the +x-axis so that the potential at the origin is equal to zero? (k = 1/4πε0 = 8.99 × 109 N • m2/C2)

Accepted Answer

A)  x = 4.0 cm 
B)  x = 1.0 cm 
C)  x = 2.0 cm 
D)  x = 3.0 cm 
E)  x = 5.0 cm 
A)  x = 4.0 cm 
B)  x = 1.0 cm 
C)  x = 2.0 cm 
D)  x = 3.0 cm 
E)  x = 5.0 cm

Question 14

A 1000-kg car is slowly picking up speed as it goes around a horizontal curve whose radius is 100 m.The coefficient of static friction between the tires and the road is 0.350.At what speed will the car begin to skid sideways?

Accepted Answer

A)  9.25 m/s 
B)  23.6 m/s 
C)  34.3 m/s 
D)  35.0 m/s 
E)  18.5 m/s 
A)  9.25 m/s 
B)  23.6 m/s 
C)  34.3 m/s 
D)  35.0 m/s 
E)  18.5 m/s

Question 15

In the figure,a copper bar is in contact with a pair of parallel metal rails and is in motion with
Velocity ν.A uniform magnetic field is present pointing downward,as shown.The bar,the rails,
And the resistor R are all in the same plane.The induced current through the resistor R is

Accepted Answer

A)  from a to b. 
B)  from b to a. 
C)  There is no induced current through the resistor. 
A)  from a to b. 
B)  from b to a. 
C)  There is no induced current through the resistor.

Question 16

A 6.00-kg block is in contact with a 4.00-kg block on a horizontal frictionless surface as shown in the figure.The 6.00-kg block is being pushed by a horizontal 20.0-N force as shown. What is the magnitude of the force that the 6.00-kg block exerts on the 4.00-kg block?

Accepted Answer

A)  6.00 N 
B)  20.0 N 
C)  8.00 N 
D)  4.00 N 
E)  10.0 N 
A)  6.00 N 
B)  20.0 N 
C)  8.00 N 
D)  4.00 N 
E)  10.0 N

Question 17

A meteoroid,heading straight for Earth,has a speed of 14.8 km/s relative to the center of Earth as it crosses our moon's orbit,a distance of 3.84 × 108 m from the earth's center.What is the meteroid's speed as it hits the earth? You can neglect the effects of the moon,Earth's atmosphere,and any motion of the earth.(G = 6.67 × 10-11 N • m2/kg2,Mearth = 5.97 × 1024 kg)

Accepted Answer

A)  18.5 km/s 
B)  21.5 km/s 
C)  32.4 km/s 
D)  87.3 km/s 
A)  18.5 km/s 
B)  21.5 km/s 
C)  32.4 km/s 
D)  87.3 km/s

Question 18

The electric field strength in the space between two closely spaced parallel disks is 1.0 × 105 N/C.This field is the result of transferring 3.9 × 109 electrons from one disk to the other.What is the diameter of the disks? (e = 1.60 × 10-19 C,ε0 = 8.85 × 10-12 C2/N • m2)

Accepted Answer

A)  3.0 cm 
B)  1.5 cm 
C)  4.5 cm 
D)  6.0 cm 
A)  3.0 cm 
B)  1.5 cm 
C)  4.5 cm 
D)  6.0 cm

Question 19

Four dipoles,each consisting of a +10-µC charge and a -10-µC charge,are located in the xy-plane with their centers 1.0 mm from the origin,as shown.A sphere passes through the dipoles,as shown in the figure.What is the electric flux through the sphere due to these dipoles? (ε0 = 8.85 × 10-12 C2/N • m2)

Accepted Answer

A)  4.5 × 106 N • m2/C 
B)  0.00 N • m2/C 
C)  9.0 × 106 N • m2/C 
D)  11 × 105 N • m2/C 
A)  4.5 × 106 N • m2/C 
B)  0.00 N • m2/C 
C)  9.0 × 106 N • m2/C 
D)  11 × 105 N • m2/C

Question 20

A bicycle is traveling north at 5.0 m/s.The mass of the wheel,2.0 kg,is uniformly distributed along the rim,which has a radius of 20 cm.What are the magnitude and direction of the angular momentum of the wheel about its axle?

Accepted Answer

A)  2.0 kg • m2/s towards the west 
B)  5.0 kg • m2/s vertically upwards 
C)  2.0 kg • m2/s towards the east 
D)  5.0 kg • m2/s towards the east 
E)  5.0 kg • m2/s towards the west 
A)  2.0 kg • m2/s towards the west 
B)  5.0 kg • m2/s vertically upwards 
C)  2.0 kg • m2/s towards the east 
D)  5.0 kg • m2/s towards the east 
E)  5.0 kg • m2/s towards the west

Exam 1: A: Foundations

You walk 55 m to the north,then turn 60° to your right and walk another 45 m.How far are you from where you originally started?

The captain of spaceship A observes enemy spaceship E escaping with a relative velocity of 0.48c,as shown in the figure.A missile M is fired from ship A,with a velocity of 0.72c relative to ship A.What is the relative velocity of approach of missile M,observed by the crew on ship E?

A string is attached to the rear-view mirror of a car.A ball is hanging at the other end of the string.The car is driving around in a circle,at a constant speed.Which of the following lists gives all of the forces directly acting on the ball?

A rectangular coil having N turns and measuring 15 cm by 25 cm is rotating in a uniform 1.6-T magnetic field with a frequency of 75 Hz.The rotation axis is perpendicular to the direction of the field.If the coil develops a sinusoidal emf of maximum value 56.9 V,what is the value of N?

You are designing a generator to have a maximum emf of 8.0 V. If the generator coil has 200 turns and a cross-sectional area of 0.030 m2,what should be the frequency of the generator in a uniform magnetic field of 0.030 T?

A box slides down a frictionless plane inclined at an angle θ above the horizontal.The gravitational force on the box is directed

A coil lies flat on a tabletop in a region where the magnetic field vector points straight up.The magnetic field vanishes suddenly.When viewed from above,what is the direction of the induced current in this coil as the field fades?

A nuclear fission power plant has an actual efficiency of 39%.If 0.25 MW of power are produced by the nuclear fission,how much electric power does the power plant output?

Two point charges of +2.0 μC and -6.0 μC are located on the x-axis at x = -1.0 cm and x = +2.0 cm respectively.Where should a third charge of +3.0-μC be placed on the +x-axis so that the potential at the origin is equal to zero? (k = 1/4πε0 = 8.99 × 109 N • m2/C2)

A 1000-kg car is slowly picking up speed as it goes around a horizontal curve whose radius is 100 m.The coefficient of static friction between the tires and the road is 0.350.At what speed will the car begin to skid sideways?

In the figure,a copper bar is in contact with a pair of parallel metal rails and is in motion with Velocity ν.A uniform magnetic field is present pointing downward,as shown.The bar,the rails, And the resistor R are all in the same plane.The induced current through the resistor R is

A 6.00-kg block is in contact with a 4.00-kg block on a horizontal frictionless surface as shown in the figure.The 6.00-kg block is being pushed by a horizontal 20.0-N force as shown. What is the magnitude of the force that the 6.00-kg block exerts on the 4.00-kg block?

The electric field strength in the space between two closely spaced parallel disks is 1.0 × 105 N/C.This field is the result of transferring 3.9 × 109 electrons from one disk to the other.What is the diameter of the disks? (e = 1.60 × 10-19 C,ε0 = 8.85 × 10-12 C2/N • m2)

A bicycle is traveling north at 5.0 m/s.The mass of the wheel,2.0 kg,is uniformly distributed along the rim,which has a radius of 20 cm.What are the magnitude and direction of the angular momentum of the wheel about its axle?

Foundations

Motion in One Dimension

Acceleration

Momentum

Energy

Principle of Relativity

Interactions

Force

Work

Motion in a Plane

Motion in a Circle

Torque

Gravity

Special Relativity

Periodic Motion

Waves in One Dimension

Waves in Two and Three Dimensions

Fluids

Entropy

Energy Transferred Thermally

Degradation of Energy

Electric Interactions

The Electric Field

Gausss Law

Work and Energy in Electrostatics

Charge Separation and Storage

Magnetic Interactions

Magnetic Fields of Charged Particles in Motion

Changing Magnetic Fields

Changing Electric Fields

Electric Circuits

Electronics

Ray Optics

Wave and Particle Optics

Filters

You are designing a generator to have a maximum emf of 8.0 V. If the generator coil has 200 turns and a cross-sectional area of 0.030 m²,what should be the frequency of the generator in a uniform magnetic field of 0.030 T?

Two point charges of +2.0 μC and -6.0 μC are located on the x-axis at x = -1.0 cm and x = +2.0 cm respectively.Where should a third charge of +3.0-μC be placed on the +x-axis so that the potential at the origin is equal to zero? (k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C²)

The electric field strength in the space between two closely spaced parallel disks is 1.0 × 10⁵ N/C.This field is the result of transferring 3.9 × 10⁹ electrons from one disk to the other.What is the diameter of the disks? (e= 1.60 × 10^-19C,ε₀ = 8.85 × 10^-12 C²/N • m²)