Suppose we want to put ourselves several years into the future and spend only on

Question

Suppose we want to put ourselves several years into the future and spend only one month
doing it. We can accomplish this by taking a trip into space at high speed and returning
again. It doesn’t matter where we go. If we go fast enough, time on board the space craft
will pass considerably more slowly than time on Earth. Find the speed we should travel
so that one month on board the space craft will equal 7.9 years on Earth.
Give the speed in terms of c, and give the answer to 6 signi?cant ?gures

Explanation / Answer

1 = (7.9*12)[1 - (v/c)2]

[1 - (v/c)2] = 1/94.8

1 - (v/c)2 = 1/94.82

v/c = (1 - 1/94.82) = 0.999944

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