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Gravitational Potential Energy

10. Conservation of Energy / Gravitational Potential Energy / Problem 4

A large hollow ball of outer radius R₁ was put into space. Its inner radius is R₂. The shell of the hollow ball of thickness R₁-R₂ is uniform in mass distribution and has a total mass of m. If another mass m' was placed at a distance of R (R > R1) away from the center of the hollow ball, calculate the gravitational potential energy of this mass m'.

A

$-\frac{Gm}{R}$

B

$-\frac{Gm^{\prime}}{R}$

C

$-\frac{G\left(m^{\prime}+m\right)}{R}$

D

$-\frac{Gmm^{\prime}}{R}$

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