A certain planet has an escape speed V. If another planet of the same size has...

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Question

A certain planet has an escape speed V. If another planet of the same size has twice the mass as the first planet, its escape speed will be

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Answer 1

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Answer #1

escape velocity V = (2GM/R)^1/2

M2 = 2M , R2 = R

V2 = (2GM2/R2)^1/2 = (2GM/R)^1/2 * (2)^1/2 = 1.414 V

Answer 2

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