Exam 26: Special Relativity

A particle physicist observes cosmic rays creating a new particle high in the atmosphere,and the speed of this particle is measured at 99.7% the speed of light.It is unstable,and is observed to decay in an average 37.0 μs.If this particle were at rest in the laboratory,what would be its average lifetime?

(Multiple Choice)

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Question 101

You are a passenger on a spaceship.As the speed of the spaceship increases,you will observe

(Multiple Choice)

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Question 102

Two satellites with equal rest masses of 100 kg are traveling toward each other in deep space.They have identical speeds of 0.600c.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 103

If,instead of the correct formula for kinetic energy,we carelessly use the classical expression for kinetic energy for a particle moving at half the speed of light,by what magnitude percent will our calculation be in error? (c = 3.0 × 10⁸ m/s)

(Multiple Choice)

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Question 104

Astronaut Rob leaves Earth in a spaceship at a speed of 0.960c relative to an observer on Earth.Rob's destination is a star system 14.4 light-years away (one light-year is the distance light travels in one year).Relative to a frame of reference that is fixed with respect to Earth,how long does it take Rob to complete the trip?

(Multiple Choice)

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Question 105

A spaceship traveling at constant velocity passes by Earth and later passes by Mars.In which frame of reference is the amount of time separating these two events the proper time?

(Multiple Choice)

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Question 106

Astronaut Rachel leaves Earth in a spaceship at a speed of 0.960c relative to an observer on Earth.Rachel's destination is a star system 14.4 light-years away (one light-year is the distance light travels in one year).According to Rachel,how long does the trip take?

(Multiple Choice)

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Question 107

How fast (in terms of the speed of light)should a moving clock travel if it is to be observed by a stationary observer as running at one-half its normal rate?

(Short Answer)

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Question 108

A spaceship is moving in a straight line away from Earth at 0.80c,measured relative to Earth.It launches a missile that moves away from the spaceship in the forward direction at 0.60c,relative to the ship.Relative to Earth,what is the speed of this missile?

(Multiple Choice)

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Question 109

Consider three galaxies,Alpha,Beta and Gamma.An astronomer in Beta sees each of the other two galaxies moving away from her in opposite directions at 0.70c.At what speed would an observer in Alpha see the galaxy Beta moving?

(Multiple Choice)

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Question 110

An unstable particle is moving at a speed of 1.6 × $10 ^ { 8 }$ m/s relative to a laboratory.Its lifetime is measured by a stationary observer in the laboratory to be 6.8 × $10 ^{- 6}$ s.What is the lifetime of the particle as measured in the rest frame of the particle? (c = 3.0 × 10⁸ m/s)

(Short Answer)

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Question 111

A spaceship carrying a light clock moves at a speed of 0.960c relative to an observer on Earth.If the clock on the ship advances by 1.00 s as measured by the space travelers aboard the ship,how long did that advance take as measured by the observer on Earth?

(Multiple Choice)

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Question 112

You are moving at a speed 2/3 c toward Randy when shines a light toward you.At what speed do you see the light approaching you?

(Multiple Choice)

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Question 113

Two satellites with equal rest masses of 100 kg are traveling toward each other in deep space.One is traveling at 0.650c and the other at 0.850c.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 114

If you were in a spaceship traveling close to the speed of light with respect to Earth,you would notice that

(Multiple Choice)

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Question 115

If a particle has a total energy that is 5.00 times its rest energy,the speed of the particle is closest to which one of the following values?

(Multiple Choice)

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Question 116

The special theory of relativity predicts that there is an upper limit to the speed of an object.It therefore follows that there is also an upper limit on which of the following properties of the object? (There could be more than one correct choice.)

(Multiple Choice)

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Question 117

In a certain chemical reaction,8.1 × 10^-19 J of energy is released per molecule formed.What is the difference in mass per molecule between the sum of the masses of the molecules of the reagents before the reaction and the mass of the molecules produced by the reaction? (c = 3.0 × 10⁸ m/s)

(Multiple Choice)

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Question 118

Observer A sees a ruler moving by in a relativistic rocket and measures its length to be L_A.Observer B moves along with the rocket and measures the length of the ruler to be L_B.What is true about these two length measurements?

(Multiple Choice)

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Question 119

Consider a student whose mass is 70 kg.If all his mass were converted to electrical energy,for how many years could he keep a 100-W light bulb burning? (c = 3.0 × 10⁸ m/s)

(Short Answer)

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Question 120

Showing 101 - 120 of 124

Exam 26: Special Relativity

You are a passenger on a spaceship.As the speed of the spaceship increases,you will observe

Two satellites with equal rest masses of 100 kg are traveling toward each other in deep space.They have identical speeds of 0.600c.The satellites collide and somehow manage to stick together.What is the rest mass of the combined object after the collision?

If,instead of the correct formula for kinetic energy,we carelessly use the classical expression for kinetic energy for a particle moving at half the speed of light,by what magnitude percent will our calculation be in error? (c = 3.0 × 108 m/s)

A spaceship traveling at constant velocity passes by Earth and later passes by Mars.In which frame of reference is the amount of time separating these two events the proper time?

Astronaut Rachel leaves Earth in a spaceship at a speed of 0.960c relative to an observer on Earth.Rachel's destination is a star system 14.4 light-years away (one light-year is the distance light travels in one year).According to Rachel,how long does the trip take?

How fast (in terms of the speed of light)should a moving clock travel if it is to be observed by a stationary observer as running at one-half its normal rate?

A spaceship is moving in a straight line away from Earth at 0.80c,measured relative to Earth.It launches a missile that moves away from the spaceship in the forward direction at 0.60c,relative to the ship.Relative to Earth,what is the speed of this missile?

Consider three galaxies,Alpha,Beta and Gamma.An astronomer in Beta sees each of the other two galaxies moving away from her in opposite directions at 0.70c.At what speed would an observer in Alpha see the galaxy Beta moving?

A spaceship carrying a light clock moves at a speed of 0.960c relative to an observer on Earth.If the clock on the ship advances by 1.00 s as measured by the space travelers aboard the ship,how long did that advance take as measured by the observer on Earth?

You are moving at a speed 2/3 c toward Randy when shines a light toward you.At what speed do you see the light approaching you?

Two satellites with equal rest masses of 100 kg are traveling toward each other in deep space.One is traveling at 0.650c and the other at 0.850c.The satellites collide and somehow manage to stick together.What is the rest mass of the combined object after the collision?

If you were in a spaceship traveling close to the speed of light with respect to Earth,you would notice that

If a particle has a total energy that is 5.00 times its rest energy,the speed of the particle is closest to which one of the following values?

The special theory of relativity predicts that there is an upper limit to the speed of an object.It therefore follows that there is also an upper limit on which of the following properties of the object? (There could be more than one correct choice.)

In a certain chemical reaction,8.1 × 10-19 J of energy is released per molecule formed.What is the difference in mass per molecule between the sum of the masses of the molecules of the reagents before the reaction and the mass of the molecules produced by the reaction? (c = 3.0 × 108 m/s)

Observer A sees a ruler moving by in a relativistic rocket and measures its length to be LA.Observer B moves along with the rocket and measures the length of the ruler to be LB.What is true about these two length measurements?

Consider a student whose mass is 70 kg.If all his mass were converted to electrical energy,for how many years could he keep a 100-W light bulb burning? (c = 3.0 × 108 m/s)

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

If,instead of the correct formula for kinetic energy,we carelessly use the classical expression for kinetic energy for a particle moving at half the speed of light,by what magnitude percent will our calculation be in error? (c = 3.0 × 10⁸ m/s)

In a certain chemical reaction,8.1 × 10^-19 J of energy is released per molecule formed.What is the difference in mass per molecule between the sum of the masses of the molecules of the reagents before the reaction and the mass of the molecules produced by the reaction? (c = 3.0 × 10⁸ m/s)

Observer A sees a ruler moving by in a relativistic rocket and measures its length to be L_A.Observer B moves along with the rocket and measures the length of the ruler to be L_B.What is true about these two length measurements?

Consider a student whose mass is 70 kg.If all his mass were converted to electrical energy,for how many years could he keep a 100-W light bulb burning? (c = 3.0 × 10⁸ m/s)