# Two objects have masses of #4 MG# and #8 MG#. How much does the gravitational potential energy between the objects change if the distance between them changes from #150 m# to #270 m#?

The change in potential energy is

The universal constant of gravitation is

G is 6.67 * 10^-11 Nm^2 kg^-2.

Consequently,

(-G*(4*10^3*8*10^3)/150)# Phi_1

Thus,

-G*(4*10^3*8*10^3)/150)-(-G*(4*10^3*8*10^3)/270)#Phi_1-Phi_2=

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The gravitational potential energy changes by -1.44 × 10¹³ joules.

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