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A rocket moves with a velocity of 0.810c to the right with respect to a stationa

ID: 1499505 • Letter: A

Question

A rocket moves with a velocity of 0.810c to the right with respect to a stationary observer A. An observer B moving relative to observer A finds that the rocket is moving with a velocity of 0.936c to the left. What is the velocity of observer B relative to observer A? (Hint: Consider observer B's velocity in the frame of reference of the rocket. Give your answer to three significant figures. Let the positive direction be to the right. Indicate the direction with the sign of your answer.)

_____ c

Explanation / Answer

from the relativistic addition

u = v + u'/(1 + vu'/c2)

rewrite equation for v

v = u-u'/(1 - uu'/c2)

= (0.81c - (-0.936c)/(1 - (-0.936 c)(0.810 c)c^2

v =0.993 c

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