Two objects have masses of $32 MG$ and $23 MG$ . How much does the gravitational potential energy between the objects change if the distance between them changes from $7 m$ to $34 m$ ?

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Two objects have masses of $32 MG$ and $23 MG$ . How much does the gravitational potential energy between the objects change if the distance between them changes from $7 m$ to $34 m$ ?

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Answer 1 · 2018-04-30T19:45:49

I will assume by "MG" you mean megagrams, notated $"Mg"$ . The gravitational force between objects of masses of the magnitude of $10^-3$ is very negligible. If my assumption is false merely follow my method!

Recall,

$F_"G" = G * (m_1m_2)/r^2$

By extension, the gravitational force is inversely proportional to the square of the distance between the bodies, such that,

$F_"G" propto 1/r^2$

Given,

$m_1 = 32"Mg"$ , and $m_2 = 23"Mg"$

$r_1 = 7"m"$ , and $r_2=34"m"$

Hence,

$DeltaF_"G" = Gm_1m_2(1/r_1^2 - 1/r_2^2) approx 960"N"$

is the difference in gravitational force between the objects as a function of increasing radius.

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Two objects have masses of $32 MG$ and $23 MG$ . How much does the gravitational potential energy between the objects change if the distance between them changes from $7 m$ to $34 m$ ?

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Science

Math

Humanities

... and beyond

Two objects have masses of 32 MG32 MG and 23 MG23 MG. How much does the gravitational potential energy between the objects change if the distance between them changes from 7 m7 m to 34 m34 m?

1 Answer

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Impact of this question

Two objects have masses of $32 MG$ and $23 MG$ . How much does the gravitational potential energy between the objects change if the distance between them changes from $7 m$ to $34 m$ ?