Two objects have masses of $35 MG$ and $21 MG$ . How much does the gravitational potential energy between the objects change if the distance between them changes from $8 m$ to $14 m$ ?

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Two objects have masses of $35 MG$ and $21 MG$ . How much does the gravitational potential energy between the objects change if the distance between them changes from $8 m$ to $14 m$ ?

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Answer 1 · 2016-11-05T16:27:13

The Gravitational potential energy between the objects change by $2.626xx10^(-13) J.$

Explanation:

Potential Energy $(U)=-(GMm)/r.$

G $=$ Universal gravitational constant.
M $=$ Mass of larger object.
m $=$ Mass of smaller body.
r $=$ Distance of separation between the two objects.

$:.$ Change in U $=DeltaU=U_f-U_i.$
$:.DeltaU=(-(Gxx35xx21)/14)-(-(Gxx35xx21)/8) J.$

$:.Delta U=(-52.5G+91.875G)J=39.975G$ Joules.

Now, $G = 6.67 xx 10^-11 Nm^2/kg^2$ .

$:.Delta U=$ $(39.375)xx(6.67 xx 10^-11)$ . Joules
$:.Delta U=262.63xx10 ^(-11)J=2.626xx10^(-13) J.$ (answer).

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Two objects have masses of $35 MG$ and $21 MG$ . How much does the gravitational potential energy between the objects change if the distance between them changes from $8 m$ to $14 m$ ?

1 Answer

Explanation:

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Impact of this question

Science

Math

Humanities

... and beyond

Two objects have masses of 35 MG35 MG and 21 MG21 MG. How much does the gravitational potential energy between the objects change if the distance between them changes from 8 m8 m to 14 m14 m?

1 Answer

Explanation:

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Impact of this question

Two objects have masses of $35 MG$ and $21 MG$ . How much does the gravitational potential energy between the objects change if the distance between them changes from $8 m$ to $14 m$ ?