Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

As measured by Earth, Ships A and B move on the x axis with their lengths parall

ID: 1409541 • Letter: A

Question

As measured by Earth, Ships A and B move on the x axis with their lengths parallel to the x axis; according to the Earth, Ship A has a speed of 0.950c in the positive x direction, and, as measured by Ship A. Ship B travels directly away from Ship A with a speed of 0.700c in the positive x direction. As measured by Bill who is on Ship B, it takes 50.0 minutes for Bill to read a novel; also, the Earth measures the length of Ship A to be 150 meters. what is the velocity of Ship B as measured by the Earth? what is the length of Ship A as measured by Alvin, the pilot of Ship A? how much time does it take Bill to read his novel as measured by the Earth?

Explanation / Answer

a)   velocity of ship B measured by Earth =   (0.95c + 0.7c)/(1 + 0.95* 0.7)

                                                                  = 0.99c

b)    length of ship A by pilot of ship A =   150 / sqrt(1 - 0.952)

                                                           =   480.38 m

c) time does it take =     50 * sqrt(1 - 0.72)

                                 =    35.707 min