Exam 36: 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 0.83c.The commander also observes ship A,advancing in the rear,with a relative velocity of 0.48c.As measured by commander on ship B,at what speed is ship A approaching ship C?

A proton in a certain particle accelerator has a kinetic energy that is equal to its rest energy.What is the momentum of the proton as measured by a physicist working with the accelerator? (c = 3.00 × 10⁸ m/s,m_proton = 1.67 × 10^-27 kg)

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?

A particle in a 453 m-long linear particle accelerator is moving at How long does the particle accelerator appear to the particle?

In the lab,a relativistic proton has a momentum of 1.00 × 10^-19 kg ∙ m/s and a rest energy of 0.150 nJ.What is the speed of the proton in the lab? (c = 3.00 × 10⁸ m/s, m_proton = 1.67 × 10^-27 kg)

System has a velocity u = +0.45c relative to system S,as shown in the figure.The clocks of S and are synchronized at t = = 0 when the origins O and coincide.An event is observed in both systems.The event takes place at x = 600 m and at time t = 1.9 μs,as measured by an observer in S.What is the -coordinate of the event,measured by an observer in ?

Assume that a certain city consumes electrical energy at an average rate of 2.0 × 10⁹ W.What would be the mass change in producing enough energy to keep this city running for 21 weeks? (c = 3.00 × 10⁸ m/s)

During a nuclear reaction,the particles involved lose 4.8 × 10^-28 kg of mass.How many joules of energy are released by this reaction? (c = 3.00 × 10⁸ m/s)

Someone in Earth's rest frame says that a spaceship's trip between two planets took 10.0 y,while an astronaut on the space ship says that the trip took Find the speed of the spaceship in terms of the speed of light.