## Question

###### Two planets have the same surface gravity, but planet B has twice the mass of planet...

Two planets have the same surface gravity, but planet B has twice the mass of planet A. If planet A has radius r, what is the radius of planet B? A) B)r C)

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## Answers

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We know that, g = GM/R^2 g_A = GM_A/R^2_A & g_B = GM_B/R^2_B but g_A = g_B rightdoublearrow M_A/R^2_A = M_B/R^2_B rightdoublearrow M_A/r^2 = 2 M_A/R^2_B rightdoublearrow R^2_B = 2r^2 rightdoublearrow R_B = squareroot 2 r

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