Exam 14: Special Relativity

Three spaceships A,B,and C are in motion,as shown in the figure.The commander on ship B observes ship C approaching with a relative velocity of 0.78c.The commander also observes ship A,advancing in the rear,with a relative velocity of 0.31c.What is the velocity of ship C,relative to an observer on ship A?

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

As measured in Earth's rest frame,a spaceship traveling at 0.964c takes 11.2 y to travel between planets.How long does the trip take as measured by someone on the spaceship?

A set of twins,Andrea and Courtney,are initially 10 years old. While Courtney remains on Earth,Andrea rides on a spaceship which travels away from Earth at a speed of 0.60c for five years (as measured by Courtney),then immediately turns around and comes back at 0.60c. When Andrea returns,Courtney is 20 years old. How old is Andrea upon her return?

A rocket is moving at 1/4 the speed of light relative to Earth.At the center of this rocket,a light suddenly flashes.To an observer at rest in the rocket

An electron has a speed of 0.643c.Through what potential difference would the electron need to be accelerated (starting from rest)in order to reach this speed? (c = 3.00 × 10⁸ m/s,e = 1.60 × 10^-19 C, M_el = 9.11 × 10^-31 kg)

An electron is accelerated from rest through a potential difference of 50.0 kV.What is the TOTAL energy of the electron? (c = 3.00 × 10⁸ m/s,e = 1.60 × 10^-19 C,m_el = 9.11 × 10^-31 kg)

The special theory of relativity predicts that there is an upper limit to the speed of a particle.It therefore follows that there is also an upper limit on the following properties of a particle.

A spaceship is moving between two distant stars at 0.932c.To someone in the ship,the distance between the two stars appears to be 26.9 light-years (ly).What is the distance between the stars in the rest frame of the stars?