Two objects have masses of $27 M G$ $27 MG$ and $42 M G$ $42 MG$ . How much does the gravitational potential energy between the objects change if the distance between them changes from $54 m$ $54 m$ to $32 m$ $32 m$ ?

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Two objects have masses of $27 M G$ $27 MG$ and $42 M G$ $42 MG$ . How much does the gravitational potential energy between the objects change if the distance between them changes from $54 m$ $54 m$ to $32 m$ $32 m$ ?

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Answer 1 · 2018-02-05T02:16:07

It increases by $85.0 %$ $85.0%$

Explanation:

$F = G(m_1m_2/)r^2$
where G is the gravitational constant ( $6.67 xx 10^(-11) m^3 s^(-2) kg^(-1))$ , r is the distance between the two objects, and F is the magnitude of the force between the objects.

So, the change is inversely proportional to the square of the distance change for the same masses.
$DeltaF = Delta(1/r^2)$ for the same masses.

$DeltaF = (1/54^2) – (1/32^2) = 0.0003429 – 0.0009766 = -0.0006344$
A increase of $(0.0006344 – 0.0003429)/0.0003429 xx 100 = 85.0%$

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Two objects have masses of $27 M G$ $27 MG$ and $42 M G$ $42 MG$ . How much does the gravitational potential energy between the objects change if the distance between them changes from $54 m$ $54 m$ to $32 m$ $32 m$ ?

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Explanation:

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Two objects have masses of 27 MG27MG27 MG and 42 MG42MG42 MG. How much does the gravitational potential energy between the objects change if the distance between them changes from 54 m54m54 m to 32 m32m32 m?

1 Answer

Explanation:

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Two objects have masses of $27 M G$ $27 MG$ and $42 M G$ $42 MG$ . How much does the gravitational potential energy between the objects change if the distance between them changes from $54 m$ $54 m$ to $32 m$ $32 m$ ?