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If earths mass were reduced by 1/2 , but its radious satyed the same , how much would your weight change ? Would it also be reduced by half ?

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As you have probably discovered, using the formula

F = GmM/r^2 will help out. If you have a new mass, generating weight

N = Gm(M/2)/r^2, then N = (1/2) * GmM/r^2) = 1/2 F

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