Question 1

How fast would a rocket ship have to move past Earth to contract to half of its proper length as observed by an Earth-based physicist?

Accepted Answer

The answer of How fast would a rocket ship have...

Question 2

When an object moves close to the speed of light relative to Earth,what happens to its dimensions compared to what they were before it began moving,as measured by an Earth-based observer?

Accepted Answer

A)  Only lengths parallel to the direction of travel are decreased.
B)  Only lengths perpendicular to the direction of travel are decreased.
C)  All lengths are decreased.
D)  No lengths are affected.E) A) and B)
F) All of the above

Question 3

A really high-speed train moves in a direction parallel to its length with a speed that approaches the speed of light.The height of the train,as measured by a stationary observer on the ground,

Accepted Answer

A)  approaches infinity.
B)  approaches zero.
C)  increases slightly.
D)  decreases slightly.
E)  does not change due to the motion.F) A) and C)
G) A) and B)

Question 4

A spacecraft is measured by a scientist on the ground to have a length of 81 m as it flies overhead with a speed $2.4 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s }$ The spacecraft then lands and its length is again measured by the scientist at rest on the ground.What result does he now get for the length of the spacecraft? (c = 3.0 × 108 m/s)

Accepted Answer

Question 5

A satellite with a rest mass of 200 kg and a speed of 0.800c and a second satellite with a rest mass of 100 kg and a speed of 0.600c are traveling toward each other in deep space.The satellites collide and somehow manage to stick together.What is the rest mass of the combined object after the collision?

Accepted Answer

A)  300 kg
B)  389 kg
C)  416 kg
D)  457 kg
E)  587 kgF) None of the above
G) B) and D)

Question 6

Astronaut Hans leaves Earth in a spaceship traveling at a speed of 0.280c relative to the observer Brian at rest on Earth.Hans is holding a pencil at an angle of 30° with the direction of travel,as seen by Hans.What angle does the pencil make with the direction of travel,as seen by Brian on Earth?

Accepted Answer

A)  29°
B)  30°
C)  31°
D)  33°
E)  90°F) A) and B)
G) A) and C)

Question 7

A particle in a 799=m-long linear particle accelerator is moving at  0.875c0.875 c0.875c  How long does the particle accelerator appear to the particle?

Accepted Answer

A)  387 m
B)  1039 m
C)  184 m
D)  1651 m E) C) and D)
F) B) and C)

Question 8

Observer A sees a pendulum oscillating back and forth in a relativistic rocket and measures its period to be TA.Observer B moves along with the rocket and measures the period of the pendulum to be TB.What is true about these two time measurements?

Accepted Answer

A)  TA > TB
B)  TA = TB
C)  TA B
D)  TA could be greater or smaller than TB depending on the direction of the motion.E) A) and B)
F) A) and C)

Question 9

A spaceship leaves Earth at a steady forward speed of 70% the speed of light.How fast relative to the ship must the spaceship launch a shuttlecraft in the forward direction so that it will be moving away from Earth at 98.7% the speed of light?

Accepted Answer

A)  0.91c
B)  0.97c
C)  0.93c
D)  0.99c
E)  0.84cF) None of the above
G) A) and D)

Question 10

Calculate the amount of energy needed to accelerate an electron from  0.888c0.888 c0.888c  to  0.991c0.991 c0.991c  Express your answer in  MeV\mathrm { MeV }MeV  The rest mass energy of an electron is 0.511 MeV.

Accepted Answer

A)  2.71 MeV
B)  1.90 MeV
C)  4.61 MeV
D)  5.69 MeV E) B) and D)
F) A) and D)

Question 11

Astronaut Sarah leaves Earth in a spaceship at a speed of 0.280c relative to Earth.Sarah's destination is a star system 12.5 light-years away (one light-year is the distance light travels in one year) .According to Sarah,how far did she travel during the trip?

Accepted Answer

A)  13.0 light-years
B)  12.5 light-years
C)  12.0 light-years
D)  11.5 light-years
E)  11.0 light-yearsF) None of the above
G) A) and E)

Question 12

A spaceship with a constant speed of 0.800c relative to Earth travels to a star that is 4.30 light-years from Earth.How much time for this trip would elapse on a clock on Earth?

Accepted Answer

A)  3.23 y
B)  4.40 y
C)  5.15 y
D)  5.38 yE) A) and B)
F) A) and C)

Question 13

An electron-volt is the energy gained by an electron if it is accelerated through a potential difference of one volt.What is the equivalent to an electron-volt in kilograms? (c = 3.00 × 108 m/s,e = 1.60 × 10-19
C)

Accepted Answer

Question 14

From the Earth,the Earthlings see the Enterprise approaching from the west at 0.800c and the Klingons approaching from the east at 0.900c.What speed,in terms of the speed of light,does the crew of the Enterprise measure for the Klingon ship?

Accepted Answer

The answer of From the Earth,the Earthlings see the Enterprise...

Question 15

How much energy would be required to accelerate a 77-kg professor from rest to 90% the speed of light? (c = 3.0 × 108 m/s)

Accepted Answer

A)  1.6 × 1019 J
B)  2.1 × 1019 J
C)  9.0 × 1019 J
D)  2.8 × 1019 J
E)  3.5 × 1019 JF) A) and E)
G) A) and C)

Question 16

As shown in the figure,the captain of spaceship A observes spaceship E escaping with a relative velocity of 0.35c.A missile M is fired from ship A directly toward ship E,with a velocity of 0.76c relative to ship A.What does the captain of ship E measure for the velocity of the missile M?

Accepted Answer

A)  0.56c
B)  0.41c
C)  0.52c
D)  0.48c
E)  0.45cF) C) and D)
G) B) and D)

Question 17

The relativistic kinetic energy formula is valid

Accepted Answer

A)  only for speeds near the speed of light.
B)  at all speeds.
C)  only for subatomic particles, such as electrons and protons.D) A) and B)
E) A) and C)

Question 18

A 30-year-old astronaut goes off on a long-term mission in a spacecraft that travels at speeds close to that of light.The mission lasts exactly 20 years as measured on Earth.Biologically speaking,at the end of the mission,the astronaut's age would be

Accepted Answer

A)  more than 50 years.
B)  exactly 50 years.
C)  less than 50 years.
D)  exactly 30 years.
E)  exactly 25 years.F) A) and C)
G) C) and D)

Question 19

What is the momentum of a proton when it is moving with a speed of 0.60c? (mproton = 1.67 × 10-27 kg)

Accepted Answer

A)  1.2 × 10-19 kg∙ m/s
B)  1.5 × 10-19 kg ∙ m/s
C)  3.0 × 10-19 kg ∙ m/s
D)  3.8 × 10-19 kg ∙ m/sE) A) and C)
F) A) and D)

Question 20

As measured in Earth's rest frame,a spaceship traveling at 0.9640c takes  10.5y10.5 \mathrm { y }10.5y  to travel between two planets that are not moving relative to each other.How long does the trip take as measured by someone on the spaceship?

Accepted Answer

A)  2.79 y
B)  6.83 y
C)  39.5 y
D)  28.8 y E) None of the above
F) C) and D)

Exam 26: Special Relativity

From the Earth,the Earthlings see the Enterprise approaching from the west at 0.800c and the Klingons approaching from the east at 0.900c.What speed,in terms of the speed of light,does the crew of the Enterprise measure for the Klingon ship?

Correct Answer
verified

What is the momentum of a proton when it is moving with a speed of 0.60c? (m_proton = 1.67 × 10^-27 kg)

Correct Answer
verified

How much energy would be required to accelerate a 77-kg professor from rest to 90% the speed of light? (c = 3.0 × 10⁸ m/s)

Correct Answer
verified

The relativistic kinetic energy formula is valid

Correct Answer
verified

A 30-year-old astronaut goes off on a long-term mission in a spacecraft that travels at speeds close to that of light.The mission lasts exactly 20 years as measured on Earth.Biologically speaking,at the end of the mission,the astronaut's age would be

Correct Answer
verified

Astronaut Hans leaves Earth in a spaceship traveling at a speed of 0.280c relative to the observer Brian at rest on Earth.Hans is holding a pencil at an angle of 30° with the direction of travel,as seen by Hans.What angle does the pencil make with the direction of travel,as seen by Brian on Earth?

Correct Answer
verified

How fast would a rocket ship have to move past Earth to contract to half of its proper length as observed by an Earth-based physicist?

Correct Answer
verified

An electron-volt is the energy gained by an electron if it is accelerated through a potential difference of one volt.What is the equivalent to an electron-volt in kilograms? (c = 3.00 × 10⁸ m/s,e = 1.60 × 10^-19 C)

Correct Answer
verified

When an object moves close to the speed of light relative to Earth,what happens to its dimensions compared to what they were before it began moving,as measured by an Earth-based observer?

Correct Answer
verified

Calculate the amount of energy needed to accelerate an electron from $0.888 c$ to $0.991 c$ Express your answer in $\mathrm { MeV }$ The rest mass energy of an electron is 0.511 MeV.

Correct Answer
verified

As measured in Earth's rest frame,a spaceship traveling at 0.9640c takes $10.5 \mathrm { y }$ to travel between two planets that are not moving relative to each other.How long does the trip take as measured by someone on the spaceship?

Correct Answer
verified

A spaceship with a constant speed of 0.800c relative to Earth travels to a star that is 4.30 light-years from Earth.How much time for this trip would elapse on a clock on Earth?

Correct Answer
verified

As shown in the figure,the captain of spaceship A observes spaceship E escaping with a relative velocity of 0.35c.A missile M is fired from ship A directly toward ship E,with a velocity of 0.76c relative to ship A.What does the captain of ship E measure for the velocity of the missile M?

Correct Answer
verified

A spaceship leaves Earth at a steady forward speed of 70% the speed of light.How fast relative to the ship must the spaceship launch a shuttlecraft in the forward direction so that it will be moving away from Earth at 98.7% the speed of light?

Correct Answer
verified

Observer A sees a pendulum oscillating back and forth in a relativistic rocket and measures its period to be T_A.Observer B moves along with the rocket and measures the period of the pendulum to be T_B.What is true about these two time measurements?

Correct Answer
verified

Correct Answer
verified

Astronaut Sarah leaves Earth in a spaceship at a speed of 0.280c relative to Earth.Sarah's destination is a star system 12.5 light-years away (one light-year is the distance light travels in one year) .According to Sarah,how far did she travel during the trip?

Correct Answer
verified

A particle in a 799=m-long linear particle accelerator is moving at $0.875 c$ How long does the particle accelerator appear to the particle?

Correct Answer
verified

Correct Answer
verified

A really high-speed train moves in a direction parallel to its length with a speed that approaches the speed of light.The height of the train,as measured by a stationary observer on the ground,

Correct Answer
verified

Exam 26: Special Relativity

From the Earth,the Earthlings see the Enterprise approaching from the west at 0.800c and the Klingons approaching from the east at 0.900c.What speed,in terms of the speed of light,does the crew of the Enterprise measure for the Klingon ship?

Correct AnswerverifiedShow Answer

What is the momentum of a proton when it is moving with a speed of 0.60c? (mproton = 1.67 × 10-27 kg)

Correct AnswerverifiedShow Answer

How much energy would be required to accelerate a 77-kg professor from rest to 90% the speed of light? (c = 3.0 × 108 m/s)

Correct AnswerverifiedShow Answer

The relativistic kinetic energy formula is valid

Correct AnswerverifiedShow Answer

A 30-year-old astronaut goes off on a long-term mission in a spacecraft that travels at speeds close to that of light.The mission lasts exactly 20 years as measured on Earth.Biologically speaking,at the end of the mission,the astronaut's age would be

Correct AnswerverifiedShow Answer

Astronaut Hans leaves Earth in a spaceship traveling at a speed of 0.280c relative to the observer Brian at rest on Earth.Hans is holding a pencil at an angle of 30° with the direction of travel,as seen by Hans.What angle does the pencil make with the direction of travel,as seen by Brian on Earth?

Correct AnswerverifiedShow Answer

How fast would a rocket ship have to move past Earth to contract to half of its proper length as observed by an Earth-based physicist?

Correct AnswerverifiedShow Answer

An electron-volt is the energy gained by an electron if it is accelerated through a potential difference of one volt.What is the equivalent to an electron-volt in kilograms? (c = 3.00 × 108 m/s,e = 1.60 × 10-19 C)

Correct AnswerverifiedShow Answer

When an object moves close to the speed of light relative to Earth,what happens to its dimensions compared to what they were before it began moving,as measured by an Earth-based observer?

Correct AnswerverifiedShow Answer

Calculate the amount of energy needed to accelerate an electron from 0.888c0.888 c0.888c to 0.991c0.991 c0.991c Express your answer in MeV\mathrm { MeV }MeV The rest mass energy of an electron is 0.511 MeV.

Correct AnswerverifiedShow Answer

As measured in Earth's rest frame,a spaceship traveling at 0.9640c takes 10.5y10.5 \mathrm { y }10.5y to travel between two planets that are not moving relative to each other.How long does the trip take as measured by someone on the spaceship?

Correct AnswerverifiedShow Answer

A spaceship with a constant speed of 0.800c relative to Earth travels to a star that is 4.30 light-years from Earth.How much time for this trip would elapse on a clock on Earth?

Correct AnswerverifiedShow Answer

As shown in the figure,the captain of spaceship A observes spaceship E escaping with a relative velocity of 0.35c.A missile M is fired from ship A directly toward ship E,with a velocity of 0.76c relative to ship A.What does the captain of ship E measure for the velocity of the missile M?

Correct AnswerverifiedShow Answer

A spaceship leaves Earth at a steady forward speed of 70% the speed of light.How fast relative to the ship must the spaceship launch a shuttlecraft in the forward direction so that it will be moving away from Earth at 98.7% the speed of light?

Correct AnswerverifiedShow Answer

Observer A sees a pendulum oscillating back and forth in a relativistic rocket and measures its period to be TA.Observer B moves along with the rocket and measures the period of the pendulum to be TB.What is true about these two time measurements?

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Astronaut Sarah leaves Earth in a spaceship at a speed of 0.280c relative to Earth.Sarah's destination is a star system 12.5 light-years away (one light-year is the distance light travels in one year) .According to Sarah,how far did she travel during the trip?

Correct AnswerverifiedShow Answer

A particle in a 799=m-long linear particle accelerator is moving at 0.875c0.875 c0.875c How long does the particle accelerator appear to the particle?

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

A really high-speed train moves in a direction parallel to its length with a speed that approaches the speed of light.The height of the train,as measured by a stationary observer on the ground,

Correct AnswerverifiedShow Answer

Correct Answer
verified

What is the momentum of a proton when it is moving with a speed of 0.60c? (m_proton = 1.67 × 10^-27 kg)

Correct Answer
verified

How much energy would be required to accelerate a 77-kg professor from rest to 90% the speed of light? (c = 3.0 × 10⁸ m/s)

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

An electron-volt is the energy gained by an electron if it is accelerated through a potential difference of one volt.What is the equivalent to an electron-volt in kilograms? (c = 3.00 × 10⁸ m/s,e = 1.60 × 10^-19 C)

Correct Answer
verified

Correct Answer
verified

Calculate the amount of energy needed to accelerate an electron from $0.888 c$ to $0.991 c$ Express your answer in $\mathrm { MeV }$ The rest mass energy of an electron is 0.511 MeV.

Correct Answer
verified

As measured in Earth's rest frame,a spaceship traveling at 0.9640c takes $10.5 \mathrm { y }$ to travel between two planets that are not moving relative to each other.How long does the trip take as measured by someone on the spaceship?

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Observer A sees a pendulum oscillating back and forth in a relativistic rocket and measures its period to be T_A.Observer B moves along with the rocket and measures the period of the pendulum to be T_B.What is true about these two time measurements?

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

A particle in a 799=m-long linear particle accelerator is moving at $0.875 c$ How long does the particle accelerator appear to the particle?

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified