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Two satellites A and B each of- Mass -50 kg are in circular orbits at altitudes of 1×106 m and 35×106 respectively. what is the difference in the gravitational potential energies of the two satellites in their respective orbits ? given mass of earth =M=6×103xkg . Radius of earth =R=6.4×106m and G=6.67×1011Nm2Kg2

Solution
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We know, gravitational potential energy
Ug=Gm1m2r
According to the question
U1=6.67×1011×6×1024×50(6.4+1)×106=2.7×109
U2=6.67×1011×6×1024×50(6.4+35)×106=4.8×108
Finding difference in their potential energy
U2U1=U
U4.8×10827×108
U=22.2×108
Thus, the difference is 22.2×108J

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