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A spacecraft passes you at 0.29 the speed of light. By what factor would its relativistic...

A spacecraft passes you at 0.29 the speed of light. By what factor would its relativistic energy increase if its speed doubled?

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Answer #1

using the equation E = m / ( 1 - V2 / C2 )1/2

E2 / E1 = ( 1 - V12 / C2 )1/2 / ( 1 - V22 / C2 )1/2  

E2 / E1 = ( 1 - 0.292 X C2 / C2 )1/2 / ( 1 - 2 X 0.292 C2 / C2 )1/2  

E2 / E1 = ( 1 - 0.292 )1/2 / ( 1 - 2 X 0.292 )1/2

E2 / E1 = 1.1748

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