Exam 29: Relativity

A spaceship with a constant velocity of 0.800c relative to Earth travels to the star that is 4.30 light-years from Earth.What distance does the space ship travel as measured by a passenger on the ship?

A spaceship enters the solar system moving toward the Sun at a constant speed relative to the Sun.By its own clock,the time elapsed between the time it crosses the orbit of Jupiter and the time it crosses the orbit of Mars is 50.0 minutes.How fast is the spaceship traveling towards the Sun? The radius of the orbit of Jupiter is 778 × 10⁹ m,and that of the orbit of Mars is 228 × 10⁹ m.

An object with a rest mass of 0.456-kg is moving at 1.20 × 10⁸ m/s.What is the magnitude of its momentum? (c = 3.00 × 10⁸ m/s)

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,

A spaceship is moving away from an asteroid with a speed of 0.80c relative to the asteroid.The spaceship then fires a missile with a speed of 0.50c relative to the spaceship.What is the speed of the missile measured by astronauts on the asteroid if the missile is fired away from the asteroid?

Calculate the amount of energy needed to accelerate an electron from To Express your answer in The rest mass energy of an electron is 0.511 MeV.

Two spaceships,each 100 m long in its own rest frame,approach Earth from opposite directions,with equal speeds relative to Earth.As measured by a passenger in one of the spaceships,the other spaceship is 96 m long.What is the speed of the spaceships relative to Earth?

If a typical city consumes electrical energy at a rate of How many kilograms of matter would have to be converted entirely into electrical energy in order to keep this city running for

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?

An astronaut on a spaceship moving at 0.927c says that the trip between two stationary stars took How long does this journey appear to take to someone in the rest frame of the two stars?

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?

In an "atom smasher," two particles collide head on at relativistic speeds.If the velocity of the first particle is 0.741c to the left,and the velocity of the second particle is To the right (both as measured in the lab rest frame),how fast are the particles moving with respect to each other?

How many joules of energy are required to accelerate a 1.0-kg rock from rest to a speed of 0.866c? (c = 3.0 × 10⁸ m/s)

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?

Which of the following are basic postulates of special relativity? (There could be more than one correct choice. )

Two satellites with equal rest masses are traveling toward each other in deep space.One is traveling at 0.550c and the other at 0.750c.The satellites collide and somehow manage to stick together.What is the speed of the combined object after the collision?

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?

How fast must a meter stick move,relative to the frame of the observer making the measurement,so its length will be measured to be 0.60 m?

A certain unstable particle has a mean lifetime of 1.52 × 10^-6 s.This is the time interval between its creation in a nuclear process and its extinction into decay products,as measured in a frame of reference at rest with respect to the particle.An average such particle is observed by a scientist on Earth to travel 342 m in its lifetime.What is the speed of the particle relative to Earth? (c = 3.00 × 10⁸ m/s)

How much energy would be released if 2.0 kg of material was lost during a reaction? (c = 3.0 × 10⁸ m/s)