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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 0.600 c . The pursuit ship is traveling at a speed of 0.810 c relative to Tatooine, in the same direction as the cruiser. What is the speed of the cruiser relative to the pursuit ship?

Respuesta :

Answer:

0.408 c.

Explanation:

given,

Cruiser travelling speed, v = 0.6 c

Pursuit ship speed,u = 0.81 c

speed of the he cruiser relative to the pursuit ship =?

now,

[tex]v' = \dfrac{v-u}{1-\dfrac{vu}{c^2}}[/tex]

c is the speed of light

[tex]v' = \dfrac{0.6c-0.81c}{1-\dfrac{0.6c \times 0.81c}{c^2}}[/tex]

[tex]v' = \dfrac{-0.21c}{1-0.486}[/tex]

[tex]v' = -0.408 c[/tex]

Speed of the cruiser relative to pursuit ship is equal to 0.408 c.

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