Two objects have masses of $42 M G$ $42 MG$ and $48 M G$ $48 MG$ . How much does the gravitational potential energy between the objects change if the distance between them changes from $21 m$ $21 m$ to $15 m$ $15 m$ ?

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Two objects have masses of $42 M G$ $42 MG$ and $48 M G$ $48 MG$ . How much does the gravitational potential energy between the objects change if the distance between them changes from $21 m$ $21 m$ to $15 m$ $15 m$ ?

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Answer 1 · 2016-11-17T12:07:44

$W_{1},_{2} = - 2, 56 \cdot 10^{- 3} J$ $W_1,_2= -2,56 *10^-3J$
$W_{1},_{2} = - G M m (\frac{1}{r_{2}} - \frac{1}{r_{1}})$ $W_1,_2=-GMm( 1/r_2-1/r_1)$
below zero because the objects , are closer than before.

Explanation:

$W_{1},_{2} = - G M m (\frac{1}{r_{2}} - \frac{1}{r_{1}})$ $W_1,_2=-GMm( 1/r_2-1/r_1)$
$G = 6, 67 \cdot 10^{- 11} N \frac{m^{2}}{{(k g)}^{2}}$ $G=6,67*10^-11 Nm^2/(kg)^2$
$r_{1} = 21 m$ $r_1=21m$
$r_{2} = 15 m$ $r_2=15m$
$M = 48 M G = 48000 k g$ $M=48 MG=48000kg$
$m = 42 M G = 42000 k g$ $m=42 MG=42000kg$
$W_{1},_{2} = - 2, 56 \cdot 10^{- 3} J$ $W_1,_2= -2,56 *10^-3J$

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Two objects have masses of $42 M G$ $42 MG$ and $48 M G$ $48 MG$ . How much does the gravitational potential energy between the objects change if the distance between them changes from $21 m$ $21 m$ to $15 m$ $15 m$ ?

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Explanation:

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Two objects have masses of 42MG42 MG and 48MG48 MG. How much does the gravitational potential energy between the objects change if the distance between them changes from 21m21 m to 15m15 m?

1 Answer

Explanation:

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Two objects have masses of $42 M G$ $42 MG$ and $48 M G$ $48 MG$ . How much does the gravitational potential energy between the objects change if the distance between them changes from $21 m$ $21 m$ to $15 m$ $15 m$ ?