Exam 26: Special Relativity

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)

(Short Answer)

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Question 41

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)

(Short Answer)

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Question 42

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?

(Multiple Choice)

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Question 43

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?

(Multiple Choice)

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Question 44

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?

(Multiple Choice)

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Question 45

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

(Multiple Choice)

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Question 46

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?

(Multiple Choice)

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Question 47

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.

(Multiple Choice)

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Question 48

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,

(Multiple Choice)

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Question 49

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?

(Short Answer)

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Question 50

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?

(Multiple Choice)

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Question 51

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?

(Multiple Choice)

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Question 52

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?

(Short Answer)

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Question 53

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)

(Multiple Choice)

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Question 54

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?

(Multiple Choice)

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Question 55

The relativistic kinetic energy formula is valid

(Multiple Choice)

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Question 56

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

(Multiple Choice)

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Question 57

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?

(Multiple Choice)

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Question 58

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?

(Multiple Choice)

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Question 59

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?

(Multiple Choice)

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Question 60

Showing 41 - 60 of 124

Exam 26: Special Relativity

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)

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?

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?

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?

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

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?

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.

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,

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?

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?

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?

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)

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?

The relativistic kinetic energy formula is valid

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

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?

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?

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?

Introduction

Kinematics: Motion in One Dimension

Newtonian Mechanics

Applying Newtons Laws

Circular Motion

Impulse and Linear Momentum

Work and Energy

Extended Bodies at Rest

Rotational Motion

Gases

Static Fluids

Fluids in Motion

First Law of Thermodynamics

Second Law of Thermodynamics

Electric Charge force and Energy

The Electric Field

Dc Circuits

Magnetism

Electromagnetic Induction

Vibrational Motion

Mechanical Waves

Reflection and Refraction

Mirrors and Lenses

Wave Optics

Electromagnetic Waves

Quantum Optics

Atomic Physics

Nuclear Physics

Particle Physics

Filters

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)

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?

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

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.

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)

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?

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?