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AP® Physics C: Mechanics

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Gravitational Force: Two Touching Identical Spheres

APPHMC-JXHBWR

What is the gravitational force between two identical uniform spheres (each with a mass of $M$ and a radius of $r$ that are touching?

A

0, because they are touching.

B

$\cfrac { G{ M }^{ 2 } }{ { r }^{ 2 } } $

C

$\cfrac {2G{ M }^{ 2 } }{ { r }^{ 2 } } $

D

$\cfrac { G{ M }^{ 2 } }{2{ r }^{ 2 } } $

E

$\cfrac { G{ M }^{ 2 } }{ 4{ r }^{ 2 } } $