Exam 37: Relativity

An event occurs at x = 500 m, t = 0.90 $\mu$ s in one frame of reference. Another frame is moving at 0.90c in the negative x direction. The origins coincide at t = 0 and clocks in the second frame are zeroed when the origins coincide. The coordinate and time of the event in the second frame is:

The velocity of an electron is changed from c/2 in the -x direction to c/2 in the +x direction. As a result, its kinetic energy changes by:

Frame S' moves in the positive x direction at 0.6c with respect to frame S. A particle moves in the positive x direction at 0.4c as measured by an observer in S'. The speed of the particle as measured by an observer in S is:

An event occurs at x = 500 m, t = 0.90 $\mu$ s in one frame of reference. Another frame is moving at 0.90c in the positive x direction. The origins coincide at t = 0 and clocks in the second frame are zeroed when the origins coincide. The coordinate and time of the event in the second frame is:

Which statement is correct?

How fast should you move away from a 6.0 *10¹⁴ Hz light source to observe waves with a frequency of 4.0 * 10¹⁴ Hz?

A measurement of the length of an object that is moving relative to the laboratory consists of noting the coordinates of the front and back:

The speed of light in vacuum is approximately