Problem

Two planets have the same mass, M. Each planet has a constant density, but the density of...

Two planets have the same mass, M. Each planet has a constant density, but the density of planet 2 is twice as high as that of planet 1. Identical objects of mass m are placed on the surfaces of the planets. What is the relationship of the gravitational potential energy, U1, on planet 1 to U2 on planet 2?

a)    U1 = U2


b)   


c)    U1= 2U2


d)   U1= 8U2


e)   U1= 0.794U2

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