Please verify the answer is correct. Also, notice the untis. Problem 26.48 Part

Question

Please verify the answer is correct. Also, notice the untis.

Problem 26.48 Part A Two spaceships leave Earth in opposite directions, each with a speed of 0.54 c with respect to Earth. What are the velocities of spaceship 1 relative to spaceship 2 and spaceship 2 relative to spaceship 1? Take the positive direction to be the direction of motion of Express your answers using two significant figures. Enter your answers numerically separated by a comma. 2 12,2/21 = 1 .08,-1.08 Submit My Answers Give Up ncorrect; Try Again; 5 attempts remaining

Explanation / Answer

a) We take the positive direction to be the direction of motion of spaceship 1. Consider spaceship 2 as reference
frame S, and the Earth reference frame S’. The velocity of the Earth relative to spaceship 2 is v = 0.54c. The velocity
of spaceship 1 relative to the Earth is u

x = 0.54c. Solve for the velocity of spaceship 1 relative to spaceship 2, ux,
v = 0.54.c

u'x = 0.54.c

u'x = u'x + v / (1+u'x*v/c^2) = 0.54c+0.54c/1+0.54*0.54 = 0.83c

(b) Now consider spaceship 1 as reference frame S. The velocity of the Earth relative to spaceship 1 is v = 0.54c.
The velocity of spaceship 2 relative to the Earth is u

x = 0.54c. Solve for the velocity of spaceship 2 relative to
spaceship 1, ux,

u'x = u'x + v / (1+u'x*v/c^2) = -0.54c+0.54c/1+(-0.54)*(-0.540 = -0.83c

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