Question 1

What is the momentum of an electron moving at a speed of 0.90 c? (me = 0.511 MeV/c2 = 9.11 $\times$ 10-31 kg)

Accepted Answer

A)  3.1 $\times$ 10-22 kg·m/s 
B)  2.5 $\times$ 10-22 kg·m/s 
C)  5.6 $\times$ 10-22 kg·m/s 
D)  4.4 $\times$ 10-22 kg·m/s 
E)  2.5 $\times$ 10-23 kg·m/s 
A)  3.1 $\times$ 10-22 kg·m/s 
B)  2.5 $\times$ 10-22 kg·m/s 
C)  5.6 $\times$ 10-22 kg·m/s 
D)  4.4 $\times$ 10-22 kg·m/s 
E)  2.5 $\times$ 10-23 kg·m/s

Question 2

An electron has a rest energy of 0.511 MeV.At what speed would its kinetic energy equal 1.022 MeV?

Accepted Answer

A)  0.866 c 
B)  0.942 c 
C)  0.888 c 
D)  0.971 c 
E)  0.500 c 
A)  0.866 c 
B)  0.942 c 
C)  0.888 c 
D)  0.971 c 
E)  0.500 c

Question 3

If a mass has its speed doubled,what happens to its relativistic momentum?

Accepted Answer

A)  nothing happens 
B)  the momentum doubles 
C)  the momentum halves 
D)  the momentum more than doubles 
E)  the momentum increases a little less than double 
A)  nothing happens 
B)  the momentum doubles 
C)  the momentum halves 
D)  the momentum more than doubles 
E)  the momentum increases a little less than double

Question 4

What is the ratio of the relativistic momentum to the classical momentum?

Accepted Answer

A)  $\gamma$ 
B)  $\gamma$ - 1 
C)  $\gamma$ + 1 
D)  $\gamma$-1 
E)  ($\gamma$ - 1)-1 
A)  $\gamma$ 
B)  $\gamma$ - 1 
C)  $\gamma$ + 1 
D)  $\gamma$-1 
E)  ($\gamma$ - 1)-1

Question 5

At what speed would an astronaut need to travel so that he would age 4.20 years while traveling a distance of 4.20 ly as measured by a stationary observer?

Accepted Answer

A)  1.00 c 
B)  This cannot be done. 
C)  1.00 c/2 
D)  .707 c 
E)  .750 c 
A)  1.00 c 
B)  This cannot be done. 
C)  1.00 c/2 
D)  .707 c 
E)  .750 c

Question 6

What are the limits on the minimum and maximum values for the Lorentz factor,$\gamma$?

Accepted Answer

A)  0,1 
B)  1,no maximum limit 
C)  no minimum limit,1 
D)  1,2 
E)  None of these possibilities are correct. 
A)  0,1 
B)  1,no maximum limit 
C)  no minimum limit,1 
D)  1,2 
E)  None of these possibilities are correct.

Question 7

A pion has a mean lifetime of 25 ns in its own rest frame.A beam of pions traveling through the laboratory at a speed of 0.60 c is measured to have a mean lifetime of

Accepted Answer

A)  21 $\mu$s. 
B)  21 ns. 
C)  31 ns. 
D)  31 $\mu$s. 
A)  21 $\mu$s. 
B)  21 ns. 
C)  31 ns. 
D)  31 $\mu$s.

Question 8

A conclusion from special relativity is that events that are simultaneous in one inertial frame

Accepted Answer

A)  are simultaneous in all inertial reference frames. 
B)  are simultaneous in all inertial frames moving at the same speed. 
C)  may not be simultaneous in another inertial reference frame. 
D)  are simultaneous in inertial reference frames moving in the same direction. 
E)  are simultaneous in inertial reference frames moving in the opposite direction. 
A)  are simultaneous in all inertial reference frames. 
B)  are simultaneous in all inertial frames moving at the same speed. 
C)  may not be simultaneous in another inertial reference frame. 
D)  are simultaneous in inertial reference frames moving in the same direction. 
E)  are simultaneous in inertial reference frames moving in the opposite direction.

Question 9

An astronaut in a rocket moving with a speed v = 0.6c relative to Earth performs a collision experiment with two small steel balls and concludes the both momentum and energy are conserved.What would an Earth observer conclude?

Accepted Answer

A)  only momentum is conserved 
B)  only energy is conserved 
C)  neither energy or momentum is conserved 
D)  both energy and momentum are conserved 
A)  only momentum is conserved 
B)  only energy is conserved 
C)  neither energy or momentum is conserved 
D)  both energy and momentum are conserved

Question 10

At what speed would a clock be moving so that time dilation would cause it to run slow by 50%?

Accepted Answer

A)  0.500 c 
B)  0.750 c 
C)  0.250 c 
D)  0.414 c 
E)  0.866 c 
A)  0.500 c 
B)  0.750 c 
C)  0.250 c 
D)  0.414 c 
E)  0.866 c

What is the momentum of an electron moving at a speed of 0.90 c? (m_e = 0.511 MeV/c² = 9.11 $\times$ 10^-31 kg)

An electron has a rest energy of 0.511 MeV.At what speed would its kinetic energy equal 1.022 MeV?

If a mass has its speed doubled,what happens to its relativistic momentum?

What is the ratio of the relativistic momentum to the classical momentum?

At what speed would an astronaut need to travel so that he would age 4.20 years while traveling a distance of 4.20 ly as measured by a stationary observer?

What are the limits on the minimum and maximum values for the Lorentz factor, $\gamma$ ?

A pion has a mean lifetime of 25 ns in its own rest frame.A beam of pions traveling through the laboratory at a speed of 0.60 c is measured to have a mean lifetime of

A conclusion from special relativity is that events that are simultaneous in one inertial frame

An astronaut in a rocket moving with a speed v = 0.6c relative to Earth performs a collision experiment with two small steel balls and concludes the both momentum and energy are conserved.What would an Earth observer conclude?

At what speed would a clock be moving so that time dilation would cause it to run slow by 50%?

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

Exam 26: Relativity

What is the momentum of an electron moving at a speed of 0.90 c? (me = 0.511 MeV/c2 = 9.11 ×\times× 10-31 kg)

An electron has a rest energy of 0.511 MeV.At what speed would its kinetic energy equal 1.022 MeV?

If a mass has its speed doubled,what happens to its relativistic momentum?

What is the ratio of the relativistic momentum to the classical momentum?

At what speed would an astronaut need to travel so that he would age 4.20 years while traveling a distance of 4.20 ly as measured by a stationary observer?

What are the limits on the minimum and maximum values for the Lorentz factor, γ\gammaγ ?

A pion has a mean lifetime of 25 ns in its own rest frame.A beam of pions traveling through the laboratory at a speed of 0.60 c is measured to have a mean lifetime of

A conclusion from special relativity is that events that are simultaneous in one inertial frame

An astronaut in a rocket moving with a speed v = 0.6c relative to Earth performs a collision experiment with two small steel balls and concludes the both momentum and energy are conserved.What would an Earth observer conclude?

At what speed would a clock be moving so that time dilation would cause it to run slow by 50%?

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

What is the momentum of an electron moving at a speed of 0.90 c? (m_e = 0.511 MeV/c² = 9.11 $\times$ 10^-31 kg)

What are the limits on the minimum and maximum values for the Lorentz factor, $\gamma$ ?