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A Martian leaves Mars in a spaceship that is heading to Venus. On the way, the...

A Martian leaves Mars in a spaceship that is heading to Venus. On the way, the spaceship passes earth with a speed v = 0.88c relative to it. Assume that the three planets do not move relative to each other during the trip. The distance between Mars and Venus is 1.20 × 1011 m, as measured by a person on earth. (a) What does the Martian measure for the distance between Mars and Venus? L = (b) What is the time of the trip (in seconds) as measured by the Martian?

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Answer #1

a)

l = lo(sqrt(1-v^2/c^2))

I = 1.2 x 10^11 x sqrt(1 - 0.88^2)

I = 0.57 x 10^11m

b)

t = (0.57 x 10^11) / 0.88 x 3 x 10^8

t = 216 s

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