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The force of attraction due to gravity between two objects is F’. If the distance between the two objects doubles and the mass of one object triples, the new gravitational force between them will be — A. 0.5F’ B. 0.75F’ C. 1.5F’ D. 2.5F’

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MathPhys

Answer:

B. 0.75F'

Explanation:

The force due to gravity between two objects is:

F' = Gm₁m₂ / r²

where G is the gravitational constant,

m₁ and m₂ are the masses of the objects,

and r is the distance between them.

If r doubles and one mass triples:

G (3m₁m₂) / (2r)²

3/4 Gm₁m₂ / r²

3/4 F'

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