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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Two objects have masses of 42 MG42MG42 MG and 48 MG48MG48 MG. How much does the gravitational potential energy between the objects change if the distance between them changes from 21 m21m21 m to 15 m15m15 m?

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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 $15 m$ $15 m$ ?