Exam 36: The Theory of Special Relativity

Suppose an airliner can travel at 300 km/hr in still air. If the airliner is traveling due east with a tailwind (a wind directed eastward) of 15 km/hr, the ground speed of the craft is

Suppose an airliner can travel at 300 km/hr in still air. If the airliner is traveling due east with a headwind (a wind directed westward) of 15 km/hr, the ground speed of the craft is

A nuclear-powered generator aboard a satellite is expected to deliver 25 W for at least 1 year. The amount of matter converted to energy during the lifetime of the satellite is

The speed at which a clock has to travel to run at a rate that is one-third the rate of a stationary clock is

For a time dilation to increase the "time" by a factor of 2, the speed of the object is

The rest-mass energy of an electron is

A meter stick on a spaceship lies at a 45º angle perpendicular to the motion of travel. When the ship is moving at 0.80 c, the length of the meter stick, relative to a stationary observer, is

An electron has a momentum of 0.86 MeV/c. The fraction of the electron's kinetic energy compared to its total energy is

The potential difference required to accelerate an electron from rest to a speed of 0.930 c is

A relativistic car is 4.5 m in length. The car is measured to be 4.0 m in length when it speeds at a velocity of

An electron has a momentum of 0.86 MeV/c. The momentum in SI units is

Pepper, the space cat, travels toward the Centauri star system 4.5 light-years away at a speed of 0.90 c. He sends back a transmission on his transmitter at a frequency of 31.20 MHz. The frequency received on Earth is

An electron has a total energy that is four times its rest energy. The speed of the electron is

An electron, initially at rest, is accelerated through a potential difference of 2.50 MeV, thereby increasing its total energy by 2.50 MeV. The speed of the electron is

During a fission process, $1.5 \times 10 ^ { 11 } \mathrm {~J}$ of energy is created by a mass loss. The amount of mass converted to energy during the process is

A distant source of light is emitting the Balmer series, and the source of light is moving toward the Earth at a rate of 10 km/s. The wavelength of the 656.28-nm line will be observed at

A spacecraft traveling at 0.75 c ejects a missile at a speed of 0.25 c (relative to the spacecraft) in the direction of travel. The speed of the missile relative to a stationary observer is

A particle has a lifetime of 25 ns in a stationary reference frame. If the particle is created with a velocity of 0.95 c, the distance it will travel is

The speed at which a particle must be accelerated to triple its mass is

In special relativity time dilation occurs when