Question

two uniform spheres, each with mass M and radius R touch each other.what is the magnitude of their gravitational force of attraction?

Answer 1

Answer:

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Explanation:

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Answer 2

Explanation:

Two uniform spheres, each with mass M and radius R, touch one another. What is the magnitude of their gravitational force of attraction?  Express your answer in terms of the variables M, R, G.

Newton's Law of Gravitation:

$F = G\frac{m_{1}m_{2} }{r^{2} }$

1. Plug in to equation:

$F = G\frac{M*M }{(2R)^{2} }$

• It is (2R)² because you need to use the distance between the centers of mass (com) of the spheres

2. Simplify:

$F = G\frac{M^{2} }{4R^{2} }$

Answer:

$F = G\frac{M^{2} }{4R^{2} }$