Question #160134
A satellite in Earth orbit has a mass of 100kg and is at an altitude of 2.00 x 10^6 m.
(a) What is the potential energy of the satellite-Earth system? (b) What is the magnitude of the gravitational force exerted by the earth on the satellite?
1
Expert's answer
2021-02-07T19:17:39-0500

Answer

a) the potential energy of the satellite-Earth system

U=GMMrU=-\frac{GMM'}{r}

Where M is mass of earth and othercof satellite.

U=6.67××1011×5.97×10242×106U=-\frac{ 6.67×\times10^{−11} \times5.97 × 10^{24}}{2\times10^6 }

== 20×107J-20\times10^{7} J

b) magnitude of the gravitational force exerted by the earth on the satellite

F=GMMr2F=\frac{GMM'}{r^2}

=6.67××1011×5.97×1024(2×106)2=\frac{ 6.67×\times10^{−11} \times5.97 × 10^{24}}{(2\times10^6 )^2}

=100N=100N


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