Question 1

The length of a spaceship is 14 m when it is at rest. If the spaceship travels by you with a speed of 0.80c, what length does it appear to you?

Accepted Answer

A) 6.3 m 
B) 8.4 m 
C) 18 m 
D) 20 m 
E) 22 m 
A) 6.3 m 
B) 8.4 m 
C) 18 m 
D) 20 m 
E) 22 m B

Question 2

Einstein's theory of general relativity applies to accelerated frames of reference.

Accepted Answer

A) True 
 B)False  True

Question 3

State the second postulate of the special theory of relativity (constancy of the speed of light).

Accepted Answer

Light propagates through empty space with a definite speed c independent of the speed of the source or observer.

Question 4

What energy is released (in MeV) during a reaction in which 1.67 × 10-25 kg of material is converted to energy?

Accepted Answer

A) 5.0 × 10-14 MeV 
B) 4.1 × 10-7 MeV 
C) 6.7 × 107 MeV 
D) 3.1 × 10-4 MeV 
E) 9.4 × 104 MeV 
A) 5.0 × 10-14 MeV 
B) 4.1 × 10-7 MeV 
C) 6.7 × 107 MeV 
D) 3.1 × 10-4 MeV 
E) 9.4 × 104 MeV

Question 5

At what speed, relative to the frame of the observer making the measurement, is the length of a meter stick 0.60 m?

Accepted Answer

A) 0.80c 
B) 0.60c 
C) 0.50c 
D) 0.70c 
E) 0.90c 
A) 0.80c 
B) 0.60c 
C) 0.50c 
D) 0.70c 
E) 0.90c

Question 6

Events that are simultaneous in one inertial reference frame are simultaneous in all inertial reference frames.

Accepted Answer

A) True 
 B)False

Question 7

With respect to the earth, object 1 is moving at speed 0.90 c to the right. Object 2 is moving in the same direction at speed 0.70 c with respect to object 1. How fast is object 2 moving with respect to the earth?

Accepted Answer

A) 0.64 c 
B) 1.6 c 
C) 0.16 c 
D) 0.80 c 
E) 0.98 c 
A) 0.64 c 
B) 1.6 c 
C) 0.16 c 
D) 0.80 c 
E) 0.98 c

Question 8

A meter stick is moving toward you with a speed of 0.85c. What is its length?

Accepted Answer

A) zero 
B) 0.47 m 
C) 0.53 m 
D) 0.74 m 
E) 1.0 m 
A) zero 
B) 0.47 m 
C) 0.53 m 
D) 0.74 m 
E) 1.0 m

Question 9

What is the momentum in kg∙m/s of a proton when it is moving with a speed of 0.60c?

Accepted Answer

A) 1.2 × 10-19 kg∙m/s 
B) 1.3 × 10-19 kg∙m/s 
C) 1.5 × 10-19 kg∙m/s 
D) 3.0 × 10-19 kg∙m/s 
E) 3.8 × 10-19 kg∙m/s 
A) 1.2 × 10-19 kg∙m/s 
B) 1.3 × 10-19 kg∙m/s 
C) 1.5 × 10-19 kg∙m/s 
D) 3.0 × 10-19 kg∙m/s 
E) 3.8 × 10-19 kg∙m/s

Question 10

As the speed of a particle approaches the speed of light, the mass of the particle

Accepted Answer

A) increases. 
B) decreases. 
C) remains the same. 
D) approaches zero. 
E) approaches infinity. 
A) increases. 
B) decreases. 
C) remains the same. 
D) approaches zero. 
E) approaches infinity.

Question 11

State the three unprovable assumptions of Galilean-Newtonian relativity.

Accepted Answer

1. The lengths of objects are the same i

Question 12

A spaceship approaches the earth with a speed 0.50 c. A passenger in the spaceship measures his heartbeat as 70 beats per minute. What is his heartbeat rate according to an observer that is at rest relative to the earth?

Accepted Answer

A) 69 beats per minute 
B) 73 beats per minute 
C) 65 beats per minute 
D) 61 beats per minute 
E) 80 beats per minute 
A) 69 beats per minute 
B) 73 beats per minute 
C) 65 beats per minute 
D) 61 beats per minute 
E) 80 beats per minute

Question 13

The amount of energy equivalent to two kilogram of mass at rest is

Accepted Answer

A) 18 × 1016 J. 
B) 9.0 × 1016 J. 
C) 3.0 × 108 J. 
D) 6.0 × 108 J. 
E) none of the given answers 
A) 18 × 1016 J. 
B) 9.0 × 1016 J. 
C) 3.0 × 108 J. 
D) 6.0 × 108 J. 
E) none of the given answers

Question 14

A spaceship moves away from the Earth with a speed of 0.80c. The spaceship then fires a missile with a speed of 0.50c relative to the spaceship.
(a) What is the velocity of the missile measured by observers on the Earth if the missile is fired away from the Earth?
(b) What is the velocity of the missile measured by observers on the Earth if the missile is fired toward the Earth?

Accepted Answer

The answer of A spaceship moves away from the Earth...

Question 15

In a nuclear plant, 1017 J of energy is available from mass conversion. How much mass was lost?

Accepted Answer

A) 0.1 kg 
B) 1 kg 
C) 10 kg 
D) 100 kg 
E) 1000 kg 
A) 0.1 kg 
B) 1 kg 
C) 10 kg 
D) 100 kg 
E) 1000 kg

Question 16

Observers in different inertial frames can disagree about the location of an event.

Accepted Answer

A) True 
 B)False

Question 17

With respect to the earth, object 1 is moving at speed 0.80 c to the right. Object 2 is moving in the same direction at speed 0.80 c with respect to object 1. How fast is object 2 moving with respect to the earth?

Accepted Answer

A) 0.64 c 
B) 0.98 c 
C) 0.16 c 
D) 1.6 c 
E) 0.80 c 
A) 0.64 c 
B) 0.98 c 
C) 0.16 c 
D) 1.6 c 
E) 0.80 c

Question 18

Suppose one twin takes a ride in a space ship traveling at a very high speed to a distant star and back again, while the other twin remains on Earth. The twin that remained on Earth predicts that the astronaut twin is

Accepted Answer

A) younger. 
B) the same age. 
C) older. 
D) cannot be determined from the given information 
A) younger. 
B) the same age. 
C) older. 
D) cannot be determined from the given information

Question 19

During a reaction, 1.7 × 10-4 J of energy is released. What change of mass would cause this?

Accepted Answer

A) 5.1 × 10-4 kg 
B) 4.3 × 10-11 kg 
C) 1.5 × 10-13 kg 
D) 4.8 × 10-18 kg 
E) 1.9 × 10-21 kg 
A) 5.1 × 10-4 kg 
B) 4.3 × 10-11 kg 
C) 1.5 × 10-13 kg 
D) 4.8 × 10-18 kg 
E) 1.9 × 10-21 kg

Question 20

During a reaction, an element loses 4.8 × 10-28 kg of mass. How much energy (in Joules) is released?

Accepted Answer

A) 4.3 × 10-11 J 
B) 1.4 × 10-19 J 
C) 1.6 × 10-36 J 
D) 2.1 × 10-40 J 
E) 5.3 × 10-45 J 
A) 4.3 × 10-11 J 
B) 1.4 × 10-19 J 
C) 1.6 × 10-36 J 
D) 2.1 × 10-40 J 
E) 5.3 × 10-45 J

Exam 36: Special Theory of Relativity

The length of a spaceship is 14 m when it is at rest. If the spaceship travels by you with a speed of 0.80c, what length does it appear to you?

Einstein's theory of general relativity applies to accelerated frames of reference.

State the second postulate of the special theory of relativity (constancy of the speed of light).

What energy is released (in MeV) during a reaction in which 1.67 × 10-25 kg of material is converted to energy?

At what speed, relative to the frame of the observer making the measurement, is the length of a meter stick 0.60 m?

Events that are simultaneous in one inertial reference frame are simultaneous in all inertial reference frames.

With respect to the earth, object 1 is moving at speed 0.90 c to the right. Object 2 is moving in the same direction at speed 0.70 c with respect to object 1. How fast is object 2 moving with respect to the earth?

A meter stick is moving toward you with a speed of 0.85c. What is its length?

What is the momentum in kg∙m/s of a proton when it is moving with a speed of 0.60c?

As the speed of a particle approaches the speed of light, the mass of the particle

State the three unprovable assumptions of Galilean-Newtonian relativity.

A spaceship approaches the earth with a speed 0.50 c. A passenger in the spaceship measures his heartbeat as 70 beats per minute. What is his heartbeat rate according to an observer that is at rest relative to the earth?

The amount of energy equivalent to two kilogram of mass at rest is

In a nuclear plant, 1017 J of energy is available from mass conversion. How much mass was lost?

Observers in different inertial frames can disagree about the location of an event.

With respect to the earth, object 1 is moving at speed 0.80 c to the right. Object 2 is moving in the same direction at speed 0.80 c with respect to object 1. How fast is object 2 moving with respect to the earth?

Suppose one twin takes a ride in a space ship traveling at a very high speed to a distant star and back again, while the other twin remains on Earth. The twin that remained on Earth predicts that the astronaut twin is

During a reaction, 1.7 × 10-4 J of energy is released. What change of mass would cause this?

During a reaction, an element loses 4.8 × 10-28 kg of mass. How much energy (in Joules) is released?

Introduction, Measurement, Estimating

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Filters

What energy is released (in MeV) during a reaction in which 1.67 × 10^-²⁵ kg of material is converted to energy?

In a nuclear plant, 10¹⁷ J of energy is available from mass conversion. How much mass was lost?

During a reaction, 1.7 × 10^-⁴ J of energy is released. What change of mass would cause this?

During a reaction, an element loses 4.8 × 10^-²⁸ kg of mass. How much energy (in Joules) is released?