Question 1

Which one of the following statements concerning the proper time interval between two events is true?

Accepted Answer

A) The proper time interval is the longest time interval that any inertial observer can measure for the event. 
B) The proper time interval is the shortest time interval that any inertial observer can measure for the event. 
C) The proper time interval is the time measured by an observer who is in motion with respect to the event. 
D) The proper time interval depends upon the speed of the observer. 
E) The proper time interval depends upon the choice of reference frame. 
A) The proper time interval is the longest time interval that any inertial observer can measure for the event. 
B) The proper time interval is the shortest time interval that any inertial observer can measure for the event. 
C) The proper time interval is the time measured by an observer who is in motion with respect to the event. 
D) The proper time interval depends upon the speed of the observer. 
E) The proper time interval depends upon the choice of reference frame.

Question 2

In the distant future, a 5.40 × 105-kg intergalactic ship leaves Earth orbit and accelerates to a constant speed of 0.92c. Determine the difference, p - p0, between the relativistic and classical momenta of the ship.

Accepted Answer

A) 3.9 × 1014 kg . m/s 
B) 2.3 × 1014 kg . m/s 
C) 8.0 × 1013 kg .m/s 
D) 5.8 × 1013 kg . m/s 
E) 1.2 × 1013 kg . m/s 
A) 3.9 × 1014 kg . m/s 
B) 2.3 × 1014 kg . m/s 
C) 8.0 × 1013 kg .m/s 
D) 5.8 × 1013 kg . m/s 
E) 1.2 × 1013 kg . m/s

Question 3

Determine the speed at which the kinetic energy of an electron is equal to twice its rest energy.

Accepted Answer

A) 0.45c 
B) 0.63c 
C) 0.87c 
D) 0.94c 
E) 0.99c 
A) 0.45c 
B) 0.63c 
C) 0.87c 
D) 0.94c 
E) 0.99c

Which one of the following statements concerning the proper time interval between two events is true?

In the distant future, a 5.40 × 10⁵-kg intergalactic ship leaves Earth orbit and accelerates to a constant speed of 0.92c. Determine the difference, p - p₀, between the relativistic and classical momenta of the ship.

Determine the speed at which the kinetic energy of an electron is equal to twice its rest energy.

Introduction and Mathematical Concepts

Kinematics in One Dimension

Kinematics in Two Dimensions

Forces and Newtons Laws of Motion

Dynamics of Uniform Circular Motion

Work and Energy

Impulse and Momentum

Rotational Kinematics

Rotational Dynamics

Simple Harmonic Motion and Elasticity

Fluids

Temperature and Heat

The Transfer of Heat

The Ideal Gas Law and Kinetic Theory

Thermodynamics

Waves and Sound

The Principle of Linear Superposition and Interference Phenomena

Electric Forces and Electric Fields

Electric Potential Energy and the Electric Potential

Electric Circuits

Magnetic Forces and Magnetic Fields

Electromagnetic Induction

Alternating Current Circuits

Electromagnetic Waves

The Refl Ection of Light: Mirrors

The Refraction of Light: Lenses and Optical Instruments

Interference and the Wave Nature of Light

Particles and Waves

The Nature of the Atom

Nuclear Physics and Radioactivity

Ionizing Radiation, Nuclear Energy, and Elementary Particles

Filters

Exam 28: Special Relativity

Which one of the following statements concerning the proper time interval between two events is true?

In the distant future, a 5.40 × 105-kg intergalactic ship leaves Earth orbit and accelerates to a constant speed of 0.92c. Determine the difference, p - p0, between the relativistic and classical momenta of the ship.

Determine the speed at which the kinetic energy of an electron is equal to twice its rest energy.

Introduction and Mathematical Concepts

Kinematics in One Dimension

Kinematics in Two Dimensions

Forces and Newtons Laws of Motion

Dynamics of Uniform Circular Motion

Work and Energy

Impulse and Momentum

Rotational Kinematics

Rotational Dynamics

Simple Harmonic Motion and Elasticity

Fluids

Temperature and Heat

The Transfer of Heat

The Ideal Gas Law and Kinetic Theory

Thermodynamics

Waves and Sound

The Principle of Linear Superposition and Interference Phenomena

Electric Forces and Electric Fields

Electric Potential Energy and the Electric Potential

Electric Circuits

Magnetic Forces and Magnetic Fields

Electromagnetic Induction

Alternating Current Circuits

Electromagnetic Waves

The Refl Ection of Light: Mirrors

The Refraction of Light: Lenses and Optical Instruments

Interference and the Wave Nature of Light

Particles and Waves

The Nature of the Atom

Nuclear Physics and Radioactivity

Ionizing Radiation, Nuclear Energy, and Elementary Particles

Filters

In the distant future, a 5.40 × 10⁵-kg intergalactic ship leaves Earth orbit and accelerates to a constant speed of 0.92c. Determine the difference, p - p₀, between the relativistic and classical momenta of the ship.