A pursuit spacecraft from the planet Tatooine is attempting to catch up with a Trade Federation cruiser. As measured by an observer on Tatoo

Question

A pursuit spacecraft from the planet Tatooine is attempting to catch up with a Trade Federation cruiser. As measured by an observer on Tatooine, the cruiser is traveling away from the planet with a speed of 0.6c. The pursuit ship is traveling at a speed of 0.8c relative to Tatooine, in the same direction as the cruiser. What is the speed of the pursuit ship relative to the cruiser?

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Nguyệt Ánh 5 years 2021-07-14T18:10:51+00:00 1 Answers 122 views 1

Answers ( )

  1. Tryphena
    1
    2021-07-14T18:12:33+00:00
    Reply

    Answer:

    0.384c

    Explanation:

    To find the speed of the pursuit ship relative to the cruiser you use the following relativistic equation:

    u'=\frac{u-v}{1-\frac{uv}{c^2}}

    u’: relative speed

    u: speed of the pursuit ship = 0.8c

    v: speed of the cruiser = 0.6c

    c: speed of light

    You replace the values of the parameters to obtain u’:

    u'=\frac{0.8c-0.6c}{1-\frac{(0.6c)(0.8c)}{c^2}}=0.384c

    Hence, the relative speed is 0.384c

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