Two objects have masses of $16 M G$ $16 MG$ and $22 M G$ $22 MG$ . How much does the gravitational potential energy between the objects change if the distance between them changes from $5 m$ $5 m$ to $39 m$ $39 m$ ?

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Two objects have masses of $16 M G$ $16 MG$ and $22 M G$ $22 MG$ . How much does the gravitational potential energy between the objects change if the distance between them changes from $5 m$ $5 m$ to $39 m$ $39 m$ ?

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Answer 1 · 2018-01-05T11:10:06

The gravitational potential energy is $\frac{G m_{1} m_{2}}{r}$ $(Gm_1m_2)/r$ , where $G$ $G$ is Newton's gravitational constant, $m_{1, 2}$ $m_(1,2)$ are the two masses and $r$ $r$ is the distance between them.

Explanation:

Taking $G = 6.674 \times 10^{- 11}$ $G=6.674×10^(−11)$ N·(m/kg) $\ ^2$ , the masses should be written in kg (I'm not sure what 16MG and 22MG actually mean) and the distance $r$ should be in metres (as you have).
Then just put the numbers into the formula to calculate the two potential energies and take the difference,

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Two objects have masses of $16 M G$ $16 MG$ and $22 M G$ $22 MG$ . How much does the gravitational potential energy between the objects change if the distance between them changes from $5 m$ $5 m$ to $39 m$ $39 m$ ?

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Explanation:

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Two objects have masses of 16 MG16MG16 MG and 22 MG22MG22 MG. How much does the gravitational potential energy between the objects change if the distance between them changes from 5 m5m5 m to 39 m39m39 m?

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Two objects have masses of $16 M G$ $16 MG$ and $22 M G$ $22 MG$ . How much does the gravitational potential energy between the objects change if the distance between them changes from $5 m$ $5 m$ to $39 m$ $39 m$ ?