Question 1

Doubling the total energy of a particle

Accepted Answer

A)  doubles its momentum. 
B)  more than doubles its momentum. 
C)  less than doubles its momentum. 
D)  quadruples its momentum. 
E)  does not affect its momentum. 
A)  doubles its momentum. 
B)  more than doubles its momentum. 
C)  less than doubles its momentum. 
D)  quadruples its momentum. 
E)  does not affect its momentum. B

Question 2

What is the kinetic energy of a particle of mass m that has a total energy four times its rest energy?

Accepted Answer

A)  5 mc2 
B)  4 mc2 
C)  3 mc2 
D)  2 mc2 
E)  1 mc2 
A)  5 mc2 
B)  4 mc2 
C)  3 mc2 
D)  2 mc2 
E)  1 mc2 C

Question 3

Event 2 occurs a time $\Delta$t after event 1.If event 2 was caused by event 1,which of the following must be true?

Accepted Answer

A)  The distance between event 1 and event 2 can be any amount. 
B)  The distance between event 1 and event 2 is not more than c $\Delta$t. 
C)  There are frames of reference in which event 2 is before event 1. 
D)  There are frames of reference in which event 1 is not related to event 2. 
E)  All of these choices are false. 
A)  The distance between event 1 and event 2 can be any amount. 
B)  The distance between event 1 and event 2 is not more than c $\Delta$t. 
C)  There are frames of reference in which event 2 is before event 1. 
D)  There are frames of reference in which event 1 is not related to event 2. 
E)  All of these choices are false. B

Question 4

A spaceship is observed from the Earth to be moving toward a star at a speed of 0.80 c.If the distance from the spaceship to the star is 1.6 ly as measured from earth,how much time passes on the space ship while traveling to the star?

Accepted Answer

A)  2.0 y 
B)  2.1 y 
C)  1.9 y 
D)  1.2 y 
E)  0.96 y 
A)  2.0 y 
B)  2.1 y 
C)  1.9 y 
D)  1.2 y 
E)  0.96 y

Question 5

How much mass must be converted to energy to release one million kilowatt hours?

Accepted Answer

A)  3.6 $\times$ 10-6 g 
B)  40 $\mu$g 
C)  4.0 g 
D)  3.6 $\times$ 10-12 g 
E)  40 pg 
A)  3.6 $\times$ 10-6 g 
B)  40 $\mu$g 
C)  4.0 g 
D)  3.6 $\times$ 10-12 g 
E)  40 pg

Question 6

What is the kinetic energy of a proton moving at 0.8000 c? The rest energy of a proton is 938.3 MeV.

Accepted Answer

A)  1564 MeV 
B)  1251 MeV 
C)  938.3 MeV 
D)  2502 MeV 
E)  626.0 MeV 
A)  1564 MeV 
B)  1251 MeV 
C)  938.3 MeV 
D)  2502 MeV 
E)  626.0 MeV

Question 7

An electron is accelerated from rest through a potential difference of 1.02 MeV.If the rest energy of the electron is 0.51 MeV,how fast is the electron moving?

Accepted Answer

A)  0.57 c 
B)  0.30 c 
C)  0.67 c 
D)  0.90 c 
E)  0.94 c 
A)  0.57 c 
B)  0.30 c 
C)  0.67 c 
D)  0.90 c 
E)  0.94 c

Question 8

What is the rest energy of a proton? (mp = 1.67 $\times$ 10-27 kg)

Accepted Answer

A)  1.5 $\times$ 10-10 J 
B)  5.0 $\times$ 10-13 J 
C)  1.6 $\times$ 10-13 J 
D)  1.6 $\times$ 10-19 J 
E)  0.0 
A)  1.5 $\times$ 10-10 J 
B)  5.0 $\times$ 10-13 J 
C)  1.6 $\times$ 10-13 J 
D)  1.6 $\times$ 10-19 J 
E)  0.0

Question 9

In a colliding-beam experiment,protons moving at 0.800 c in opposite directions strike one another.What is the speed of the incoming proton as viewed by the proton about to be hit?

Accepted Answer

A)  1.60 c 
B)  0.00 
C)  0.640 c 
D)  0.976 c 
E)  0.960 c 
A)  1.60 c 
B)  0.00 
C)  0.640 c 
D)  0.976 c 
E)  0.960 c

Question 10

A conclusion of the Michelson-Morley experiments was that

Accepted Answer

A)  interference of EM-waves does not happen. 
B)  the ether doesn't exist. 
C)  Galilean relativity holds. 
D)  light has momentum. 
E)  light has no momentum. 
A)  interference of EM-waves does not happen. 
B)  the ether doesn't exist. 
C)  Galilean relativity holds. 
D)  light has momentum. 
E)  light has no momentum.

Question 11

Protons are sent at 0.900 c down a tube of length 27.0 m.How long does it take for the protons to travel this distance as measured in the lab?

Accepted Answer

A)  100 ns 
B)  44.0 ns 
C)  230 ns 
D)  150 ns 
E)  90.0 ns 
A)  100 ns 
B)  44.0 ns 
C)  230 ns 
D)  150 ns 
E)  90.0 ns

Question 12

If two protons are heading toward one another at 0.800 c in the laboratory frame,what is the kinetic energy of one proton in the frame of reference of the other proton?

Accepted Answer

A)  3.13 GeV 
B)  5.56 GeV 
C)  1.56 GeV 
D)  2.50 GeV 
E)  3.34 GeV 
A)  3.13 GeV 
B)  5.56 GeV 
C)  1.56 GeV 
D)  2.50 GeV 
E)  3.34 GeV

Question 13

The postulate(s)of special are (is)

Accepted Answer

A)  the speed of light is the same in all inertial reference frames. 
B)  E0 = mc2. 
C)  the principle of conservation of momentum is true. 
D)  the laws of physics are the same in all inertial reference frames. 
E)  the principle of conservation of energy is true. 
A)  the speed of light is the same in all inertial reference frames. 
B)  E0 = mc2. 
C)  the principle of conservation of momentum is true. 
D)  the laws of physics are the same in all inertial reference frames. 
E)  the principle of conservation of energy is true.

Question 14

Which of the following is the best definition of inertial frame?

Accepted Answer

A)  a frame of reference in which Newtonian mechanics holds true,but relativistic mechanics does not 
B)  a frame of reference in which relativistic mechanics holds true,but Newtonian mechanics does not 
C)  a frame of reference where there are no accelerations without applied forces 
D)  a frame of reverence in which Newton's second and third laws hold,but not his first 
E)  None of these choices are correct. 
A)  a frame of reference in which Newtonian mechanics holds true,but relativistic mechanics does not 
B)  a frame of reference in which relativistic mechanics holds true,but Newtonian mechanics does not 
C)  a frame of reference where there are no accelerations without applied forces 
D)  a frame of reverence in which Newton's second and third laws hold,but not his first 
E)  None of these choices are correct.

Question 15

The front of a spacecraft forms a point at an angle of 60$^{\circ}$.As the spacecraft increases speed,what happens to this angle as observed in the rest frame?

Accepted Answer

A)  It stays the same. 
B)  It decreases. 
C)  It increases. 
D)  It decreases only if the spacecraft is going to the left. 
E)  It decreases only if the spacecraft is going to the right. 
A)  It stays the same. 
B)  It decreases. 
C)  It increases. 
D)  It decreases only if the spacecraft is going to the left. 
E)  It decreases only if the spacecraft is going to the right.

Question 16

A spaceship is observed from the Earth to be moving toward a star at a speed of 0.80 c.If the distance from the spaceship to the star is 1.6 ly as measured from earth,how long does an observer on Earth find that it takes for the space ship to reach the star?

Accepted Answer

A)  2.0 y 
B)  2.1 y 
C)  1.6 y 
D)  1.2 y 
E)  0.96 y 
A)  2.0 y 
B)  2.1 y 
C)  1.6 y 
D)  1.2 y 
E)  0.96 y

Question 17

A pair of observers moving relative to one another will always agree upon all but which of the following:

Accepted Answer

A)  the length of a space-time interval between two events 
B)  their respective rest masses 
C)  whether two events are simultaneous 
D)  their relative velocity 
E)  the relativistic factor gamma that links their reference frames 
A)  the length of a space-time interval between two events 
B)  their respective rest masses 
C)  whether two events are simultaneous 
D)  their relative velocity 
E)  the relativistic factor gamma that links their reference frames

Question 18

According to special relativity,what is the speed of light measured in a space ship traveling at 0.40 c?

Accepted Answer

A)  0.60 c 
B)  1.4 c 
C)  0.86 c 
D)  1.0 c 
E)  None of these choices are correct. 
A)  0.60 c 
B)  1.4 c 
C)  0.86 c 
D)  1.0 c 
E)  None of these choices are correct.

Question 19

Relative to a stationary observer,a moving clock

Accepted Answer

A)  always runs slower than normal. 
B)  always runs faster than normal. 
C)  keeps its normal time. 
D)  Any of these choice could be correct depending on the relative velocity. 
A)  always runs slower than normal. 
B)  always runs faster than normal. 
C)  keeps its normal time. 
D)  Any of these choice could be correct depending on the relative velocity.

Question 20

A rocket speeding by the Earth at 0.917c is known,when at rest,to be roughly cylindrical with a radius of 15 m and a length of 150 m.When speeding by,what is its volume,as measured by observers on Earth?

Accepted Answer

A)  6.78 $\times$ 103 m3 
B)  1.70 $\times$ 104 m3 
C)  4.24 $\times$ 104 m3 
D)  1.35 $\times$ 104 m3 
E)  1.06 $\times$ 105 m3 
A)  6.78 $\times$ 103 m3 
B)  1.70 $\times$ 104 m3 
C)  4.24 $\times$ 104 m3 
D)  1.35 $\times$ 104 m3 
E)  1.06 $\times$ 105 m3

Exam 26: Relativity

Doubling the total energy of a particle

What is the kinetic energy of a particle of mass m that has a total energy four times its rest energy?

Event 2 occurs a time Δ\DeltaΔ t after event 1.If event 2 was caused by event 1,which of the following must be true?

A spaceship is observed from the Earth to be moving toward a star at a speed of 0.80 c.If the distance from the spaceship to the star is 1.6 ly as measured from earth,how much time passes on the space ship while traveling to the star?

How much mass must be converted to energy to release one million kilowatt hours?

What is the kinetic energy of a proton moving at 0.8000 c? The rest energy of a proton is 938.3 MeV.

An electron is accelerated from rest through a potential difference of 1.02 MeV.If the rest energy of the electron is 0.51 MeV,how fast is the electron moving?

What is the rest energy of a proton? (mp = 1.67 ×\times× 10-27 kg)

In a colliding-beam experiment,protons moving at 0.800 c in opposite directions strike one another.What is the speed of the incoming proton as viewed by the proton about to be hit?

A conclusion of the Michelson-Morley experiments was that

Protons are sent at 0.900 c down a tube of length 27.0 m.How long does it take for the protons to travel this distance as measured in the lab?

If two protons are heading toward one another at 0.800 c in the laboratory frame,what is the kinetic energy of one proton in the frame of reference of the other proton?

The postulate(s)of special are (is)

Which of the following is the best definition of inertial frame?

The front of a spacecraft forms a point at an angle of 60 ∘^{\circ}∘ .As the spacecraft increases speed,what happens to this angle as observed in the rest frame?

A spaceship is observed from the Earth to be moving toward a star at a speed of 0.80 c.If the distance from the spaceship to the star is 1.6 ly as measured from earth,how long does an observer on Earth find that it takes for the space ship to reach the star?

A pair of observers moving relative to one another will always agree upon all but which of the following:

According to special relativity,what is the speed of light measured in a space ship traveling at 0.40 c?

Relative to a stationary observer,a moving clock

A rocket speeding by the Earth at 0.917c is known,when at rest,to be roughly cylindrical with a radius of 15 m and a length of 150 m.When speeding by,what is its volume,as measured by observers on Earth?

Introduction

Force

Acceleration and Newtons Second Law of Motion

Motion With Constant Acceleration

Circular Motion

Conservation of Energy

Linear Momentum

Torque and Angular Momentum

Fluids

Elasticity and Oscillations

Waves

Sound

Temperature and the Ideal Gas

Heat

Thermodynamics

Electric Forces and Fields

Electric Potential

Electric Current and Circuits

Magnetic Forces and Fields

Electromagnetic Induction

Alternating Current

Electromagnetic Waves

Reflection and Refraction of Light

Optical Instruments

Interference and Diffraction

Early Quantum Physics and the Photon

Quantum Physics

Nuclear Physics

Particle Physics

Filters

Event 2 occurs a time $\Delta$ t after event 1.If event 2 was caused by event 1,which of the following must be true?

What is the rest energy of a proton? (m_p = 1.67 $\times$ 10^-27 kg)

The front of a spacecraft forms a point at an angle of 60 $^{\circ}$ .As the spacecraft increases speed,what happens to this angle as observed in the rest frame?