Two objects have masses of $22 M G$ $22 MG$ and $23 M G$ $23 MG$ . How much does the gravitational potential energy between the objects change if the distance between them changes from $25 m$ $25 m$ to $7 m$ $7 m$ ?

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Two objects have masses of $22 M G$ $22 MG$ and $23 M G$ $23 MG$ . How much does the gravitational potential energy between the objects change if the distance between them changes from $25 m$ $25 m$ to $7 m$ $7 m$ ?

Please let me know the answer.... Thank you

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Answer 1 · 2017-05-05T17:22:14

$- 0.0035 J$ $-0.0035J$ , rounded to four decimal places

Explanation:

Gravitational Potential energy between two bodies of mass $M_{1} and M_{2}$ $M_1and M_2$ with distance between their centers being $r$ $r$ is given as

$U = - G \frac{M_{1} M_{2}}{r}$ $U=-G(M_1M_2)/r$
where $G$ $G$ is Universal Gravitational constant $= 6.67408 \times 10^{- 11} m^{3} k g^{- 1} s^{- 2}$ $=6.67408 xx 10^-11 m^3 kg^-1 s^-2$ .
$- v e$ $-ve$ sign shows that it is bound system.

$DeltaU=U_"final"-U_"initial"$
Inserting given values we get
$DeltaU=-G(M_1M_2)/7-(-G(M_1M_2)/25)$
$DeltaU=-G(M_1M_2)(1/7-1/25)$
$DeltaU=-6.67408 xx 10^-11(22xx10^3xx23xx10^3)(18/175)$
$DeltaU=-0.0035J$ , rounded to four decimal places

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Two objects have masses of $22 M G$ $22 MG$ and $23 M G$ $23 MG$ . How much does the gravitational potential energy between the objects change if the distance between them changes from $25 m$ $25 m$ to $7 m$ $7 m$ ?

Please let me know the answer.... Thank you

1 Answer

Explanation:

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Two objects have masses of 22 MG22MG22 MG and 23 MG23MG23 MG. How much does the gravitational potential energy between the objects change if the distance between them changes from 25 m25m25 m to 7 m7m7 m?

Please let me know the answer.... Thank you

1 Answer

Explanation:

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Two objects have masses of $22 M G$ $22 MG$ and $23 M G$ $23 MG$ . How much does the gravitational potential energy between the objects change if the distance between them changes from $25 m$ $25 m$ to $7 m$ $7 m$ ?