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A spaceship moves at a speed of 0.95 c away from the Earth. It shoots a star wars torpedo toward the Earthat a speed of 0.90 c relative to the ship. What is the velocity of the torpedo relative to the Earth? (The direction in which the spaceship move

Respuesta :

Answer:

0.345 c

Explanation:

[tex]v_{se}[/tex] = velocity of spaceship relative to earth = 0.95 c

[tex]v_{ts}[/tex] = velocity of torpedo relative to spaceship = - 0.90 c

[tex]v_{te}[/tex] = velocity of torpedo relative to earth

Velocity of torpedo relative to earth is given as

[tex]v_{te}=\frac{v_{se} + v_{ts}}{1 + \frac{v_{se}v_{ts}}{c^{2}}}[/tex]

[tex]v_{te}=\frac{0.95c + (- 0.90 c)}{1 + \frac{(0.95 c)(- 0.90 c))}{c^{2}}}[/tex]

[tex]v_{te}[/tex] = 0.345 c

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