Two objects have masses of $18 M G$ $18 MG$ and $2 M G$ $2 MG$ . How much does the gravitational potential energy between the objects change if the distance between them changes from $160 m$ $160 m$ to $230 m$ $230 m$ ?

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Two objects have masses of $18 M G$ $18 MG$ and $2 M G$ $2 MG$ . How much does the gravitational potential energy between the objects change if the distance between them changes from $160 m$ $160 m$ to $230 m$ $230 m$ ?

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Answer 1 · 2017-01-19T15:05:24

$4.841 \cdot 10^{- 8} N$ $4.841*10^-8N$

Explanation:

$F = \frac{G m m}{d^{2}}$ $F=(Gmm)/d^2$

Solve each case.
$F = \frac{6.67 \cdot 10^{- 11} N \frac{m^{2}}{k g^{2}} \cdot 18, 000 k g \cdot 2000 k g}{{(160 m)}^{2}}$ $F=(6.67*10^-11Nm^2/ (kg^2) *18,000kg *2000kg)/(160m)^2$
$F = 9.38 \cdot 10^{- 8} N$ $F=9.38*10^-8 N$

Case2

$F = \frac{6.67 \cdot 10^{- 11} N \frac{m^{2}}{k g^{2}} \cdot 18, 000 k g \cdot 2000 k g}{{(230 m)}^{2}}$ $F=(6.67*10^-11Nm^2/ (kg^2) *18,000kg *2000kg)/(230m)^2$
$F = 4.539 \cdot 10^{- 8} N$ $F=4.539*10^-8N$

The difference is $9.38 \cdot 10^{- 8} - 4.539 \cdot 10^{- 8} = 4.841 \cdot 10^{- 8} N$ $9.38*10^-8 - 4.539*10^-8=4.841*10^-8N$

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Two objects have masses of $18 M G$ $18 MG$ and $2 M G$ $2 MG$ . How much does the gravitational potential energy between the objects change if the distance between them changes from $160 m$ $160 m$ to $230 m$ $230 m$ ?

1 Answer

Explanation:

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Impact of this question

Science

Math

Humanities

... and beyond

Two objects have masses of 18MG18 MG and 2MG2 MG. How much does the gravitational potential energy between the objects change if the distance between them changes from 160m160 m to 230m230 m?

1 Answer

Explanation:

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Impact of this question

Two objects have masses of $18 M G$ $18 MG$ and $2 M G$ $2 MG$ . How much does the gravitational potential energy between the objects change if the distance between them changes from $160 m$ $160 m$ to $230 m$ $230 m$ ?