Question 1

A certain frictionless simple pendulum having a length L and mass M swings with period T.If both L and M are doubled,what is the new period?

Accepted Answer

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

Question 2

An initially-stationary electric dipole of dipole moment   = (5.00 × 10-10 C • m)  
Placed in an electric field  
= (2.00 × 106 N/C)  
+ (2.00 × 106 N/C)  
)What is the magnitude of the maximum torque that the electric field exerts on the dipole?

Accepted Answer

A)  2.00 × 10-3 N • m 
B)  1.40 × 10-3 N • m 
C)  2.80 × 10-3 N • m 
D)  0.00 N • m 
E)  1.00 × 10-3 N • m 
A)  2.00 × 10-3 N • m 
B)  1.40 × 10-3 N • m 
C)  2.80 × 10-3 N • m 
D)  0.00 N • m 
E)  1.00 × 10-3 N • m

Question 3

A Carnot refrigerator takes heat from water at 0°C and rejects heat to a room at 12°C.Suppose that 92.0 grams of water at 0°C are converted to ice at 0°C by the refrigerator.Calculate the mechanical energy that must be supplied to the refrigerator.The heat of fusion of water is 3.34 × 105 J/kg.

Accepted Answer

Question 4

A spaceship is moving away from the earth with a constant speed of 0.80c. The spaceship fires a 28-kg missile with a speed of 0.50c relative to the spaceship.What is the speed of the missile measured by observers on the earth if the missile is fired
(a)away from the earth?
(b)toward the earth?

Accepted Answer

The answer of A spaceship is moving away from the...

Question 5

Water flows in the horizontal pipe shown in the figure.At point A the area is 25.0 cm2 and the speed of the water is   At B the area is 16.0 cm2.The fluid in the manometer is mercury,which has a density of 13,600 kg/m3.We can treat water as an ideal fluid having a density of 1000 kg/m3.What is the manometer reading h?

Accepted Answer

A)  0.546 cm 
B)  1.31 cm 
C)  2.81 cm 
D)  2.16 cm 
E)  3.36 cm 
A)  0.546 cm 
B)  1.31 cm 
C)  2.81 cm 
D)  2.16 cm 
E)  3.36 cm

Question 6

A hiker throws a stone from the upper edge of a vertical cliff.The stone's initial velocity is 25.0 m/s directed at 40.0° with the face of the cliff,as shown in the figure.The stone hits the ground 3.75 s after being thrown and feels no appreciable air resistance as it falls.
(a) What is the height of the cliff?
(b) How far from the foot of the cliff does the stone land?
(c) How fast is the stone moving just before it hits the ground?

Accepted Answer

(a)141 m

Question 7

A 3.00-kg ball swings rapidly in a complete vertical circle of radius 2.00 m by a light string that is fixed at one end.The ball moves so fast that the string is always taut and perpendicular to the velocity of the ball.As the ball swings from its lowest point to its highest point

Accepted Answer

A)  the work done on it by gravity and the work done on it by the tension in the string are both equal to -118 J. 
B)  the work done on it by gravity is -118 J and the work done on it by the tension in the string is +118 J. 
C)  the work done on it by gravity is +118 J and the work done on it by the tension in the string is -118 J. 
D)  the work done on it by gravity is -118 J and the work done on it by the tension in the string is zero. 
E)  the work done on it by gravity and the work done on it by the tension in the string are both equal to zero. 
A)  the work done on it by gravity and the work done on it by the tension in the string are both equal to -118 J. 
B)  the work done on it by gravity is -118 J and the work done on it by the tension in the string is +118 J. 
C)  the work done on it by gravity is +118 J and the work done on it by the tension in the string is -118 J. 
D)  the work done on it by gravity is -118 J and the work done on it by the tension in the string is zero. 
E)  the work done on it by gravity and the work done on it by the tension in the string are both equal to zero.

Question 8

A frictionless pendulum clock on the surface of the earth has a period of 1.00 s.On a distant planet,the length of the pendulum must be shortened slightly to have a period of 1.00 s.What is true about the acceleration due to gravity on the distant planet?

Accepted Answer

A)  The gravitational acceleration on the planet is slightly greater than g. 
B)  The gravitational acceleration on the planet is slightly less than g. 
C)  The gravitational acceleration on the planet is equal to g. 
D)  We cannot tell because we do not know the mass of the pendulum. 
A)  The gravitational acceleration on the planet is slightly greater than g. 
B)  The gravitational acceleration on the planet is slightly less than g. 
C)  The gravitational acceleration on the planet is equal to g. 
D)  We cannot tell because we do not know the mass of the pendulum.

Question 9

In a collision between two objects having unequal masses,how does magnitude of the impulse imparted to the lighter object by the heavier one compare with the magnitude of the impulse imparted to the heavier object by the lighter one?

Accepted Answer

A)  The lighter object receives a larger impulse. 
B)  The heavier object receives a larger impulse. 
C)  Both objects receive the same impulse. 
D)  The answer depends on the ratio of the masses. 
E)  The answer depends on the ratio of the speeds. 
A)  The lighter object receives a larger impulse. 
B)  The heavier object receives a larger impulse. 
C)  Both objects receive the same impulse. 
D)  The answer depends on the ratio of the masses. 
E)  The answer depends on the ratio of the speeds.

Question 10

The graph in the figure shows the x component of the acceleration of a 2.4-kg object as a function of time (in ms).   
(a) At what time(s)does the x component of the net force on the object reach its maximum magnitude,and what is that maximum magnitude?
(b) What is the x component of the net force on the object at time t = 0.0 ms and at t = 4.0 ms?

Accepted Answer

(a)At 3.0

Question 11

A carousel that is 5.00 m in radius has a pair of 600-Hz sirens mounted on posts at opposite ends of a diameter.The carousel rotates with an angular velocity of 0.800 rad/s. A stationary listener is located at a distance from the carousel.The speed of sound is 350 m/s.The maximum beat frequency of the sirens at the position of the listener is closest to

Accepted Answer

A)  6 Hz. 
B)  8 Hz. 
C)  10 Hz. 
D)  12 Hz. 
E)  14 Hz. 
A)  6 Hz. 
B)  8 Hz. 
C)  10 Hz. 
D)  12 Hz. 
E)  14 Hz.

Question 12

Future space stations will create an artificial gravity by rotating.Consider a cylindrical space station 390 m diameter rotating about its central axis.Astronauts walk on the inside surface of the space station.What rotation period will provide "normal" gravity?

Accepted Answer

A)  28 s 
B)  40 s 
C)  6.3 s 
D)  4.4 s 
A)  28 s 
B)  40 s 
C)  6.3 s 
D)  4.4 s

Question 13

If a beam of electromagnetic radiation has an intensity of 120 W/m2,what is the maximum value of the electric field? (c = 3.0 × 108 m/s,μ0 = 4π × 10-7 T • m/A,ε0 = 8.85 × 10-12 C2/N • m2)

Accepted Answer

A)  1.5 kV/m 
B)  1.0 µT 
C)  1.0 µV/m 
D)  0.30 kV/m 
E)  0.0032 V/m 
A)  1.5 kV/m 
B)  1.0 µT 
C)  1.0 µV/m 
D)  0.30 kV/m 
E)  0.0032 V/m

Question 14

Estimate the number of pennies that would fit in a box one foot long by one foot wide by one foot tall.

Accepted Answer

A)  5 × 102 
B)  5 × 103 
C)  5 × 104 
D)  5 × 105 
E)  5 × 106 
A)  5 × 102 
B)  5 × 103 
C)  5 × 104 
D)  5 × 105 
E)  5 × 106

Question 15

An optical fiber made of glass with an index of refraction 1.50 is coated with a plastic with index of refraction 1.30.What is the critical angle of this fiber at the glass-plastic interface?

Accepted Answer

A)  90.0° 
B)  41.8° 
C)  60.1° 
D)  50.2° 
E)  61.1° 
A)  90.0° 
B)  41.8° 
C)  60.1° 
D)  50.2° 
E)  61.1°

Question 16

How much work must be done to accelerate a particle of mass 2.1 × 10-14 kg from a speed of
1.5 × 108 m/s to a speed of 2.5 × 108 m/s? (c = 3.00 × 108 m/s)

Accepted Answer

Question 17

A rocket takes off vertically from the launchpad with no initial velocity but a constant upward acceleration of 2.25 m/s2.At 15.4 s after blastoff,the engines fail completely so the only force on the rocket from then on is the pull of gravity.
(a)What is the maximum height the rocket will reach above the launchpad?
(b)How fast is the rocket moving at the instant before it crashes onto the launchpad?
(c)How long after engine failure does it take for the rocket to crash onto the launchpad?

Accepted Answer

(a)328 m

Question 18

A mass M is attached to an ideal massless spring.When this system is set in motion with amplitude A,it has a period T.What is the period if the amplitude of the motion is increased to 2A?

Accepted Answer

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

Question 19

A series circuit consists of a 50-Hz ac source,a 50-Ω resistor,a 0.50-H inductor,and a 60-μF capacitor.The rms current in the circuit is measured to be 3.1 A.What is the voltage amplitude of the source?

Accepted Answer

A)  510 V 
B)  270 V 
C)  220 V 
D)  180 V 
E)  160 V 
A)  510 V 
B)  270 V 
C)  220 V 
D)  180 V 
E)  160 V

Question 20

The figure shows the graph of the position x as a function of time for an object moving in the straight line (the x-axis).Which of the following graphs best describes the velocity along the x-axis as a function of time for this object?

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
E) 
  
A) 
  
B) 
  
C) 
  
D) 
  
E)

Exam 1: A: Foundations

A certain frictionless simple pendulum having a length L and mass M swings with period T.If both L and M are doubled,what is the new period?

An initially-stationary electric dipole of dipole moment = (5.00 × 10-10 C • m) Placed in an electric field = (2.00 × 106 N/C) + (2.00 × 106 N/C) )What is the magnitude of the maximum torque that the electric field exerts on the dipole?

A spaceship is moving away from the earth with a constant speed of 0.80c. The spaceship fires a 28-kg missile with a speed of 0.50c relative to the spaceship.What is the speed of the missile measured by observers on the earth if the missile is fired (a)away from the earth? (b)toward the earth?

A 3.00-kg ball swings rapidly in a complete vertical circle of radius 2.00 m by a light string that is fixed at one end.The ball moves so fast that the string is always taut and perpendicular to the velocity of the ball.As the ball swings from its lowest point to its highest point

A frictionless pendulum clock on the surface of the earth has a period of 1.00 s.On a distant planet,the length of the pendulum must be shortened slightly to have a period of 1.00 s.What is true about the acceleration due to gravity on the distant planet?

In a collision between two objects having unequal masses,how does magnitude of the impulse imparted to the lighter object by the heavier one compare with the magnitude of the impulse imparted to the heavier object by the lighter one?

Future space stations will create an artificial gravity by rotating.Consider a cylindrical space station 390 m diameter rotating about its central axis.Astronauts walk on the inside surface of the space station.What rotation period will provide "normal" gravity?

If a beam of electromagnetic radiation has an intensity of 120 W/m2,what is the maximum value of the electric field? (c = 3.0 × 108 m/s,μ0 = 4π × 10-7 T • m/A,ε0 = 8.85 × 10-12 C2/N • m2)

Estimate the number of pennies that would fit in a box one foot long by one foot wide by one foot tall.

An optical fiber made of glass with an index of refraction 1.50 is coated with a plastic with index of refraction 1.30.What is the critical angle of this fiber at the glass-plastic interface?

How much work must be done to accelerate a particle of mass 2.1 × 10-14 kg from a speed of 1.5 × 108 m/s to a speed of 2.5 × 108 m/s? (c = 3.00 × 108 m/s)

A mass M is attached to an ideal massless spring.When this system is set in motion with amplitude A,it has a period T.What is the period if the amplitude of the motion is increased to 2A?

A series circuit consists of a 50-Hz ac source,a 50-Ω resistor,a 0.50-H inductor,and a 60-μF capacitor.The rms current in the circuit is measured to be 3.1 A.What is the voltage amplitude of the source?

The figure shows the graph of the position x as a function of time for an object moving in the straight line (the x-axis).Which of the following graphs best describes the velocity along the x-axis as a function of time for this object?

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

An initially-stationary electric dipole of dipole moment = (5.00 × 10^-10 C • m) Placed in an electric field = (2.00 × 10⁶ N/C) + (2.00 × 10⁶ N/C) )What is the magnitude of the maximum torque that the electric field exerts on the dipole?

If a beam of electromagnetic radiation has an intensity of 120 W/m²,what is the maximum value of the electric field? (c = 3.0 × 10⁸ m/s,μ₀ = 4π × 10^-7 T • m/A,ε₀ = 8.85 × 10^-12 C²/N • m²)

How much work must be done to accelerate a particle of mass 2.1 × 10^-14kg from a speed of 1.5 × 10⁸m/s to a speed of 2.5 × 10⁸m/s? (c = 3.00 × 10⁸ m/s)