A body of mass m is moving in a circular orbit of radius R about a planet of mass M . At some instant, it splits into two equal masses. The first mass moves in a circular orbit of radius R 2 . And the other mass, in a circular orbit of radius 3 R 2 . The difference between the final and the…

Question

A body of mass m is moving in a circular orbit of radius R about a planet of mass M . At some instant, it splits into two equal masses. The first mass moves in a circular orbit of radius R 2 . And the other mass, in a circular orbit of radius 3 R 2 . The difference between the final and the initial total energies is

Aicharya · Accepted Answer

E i = - G M m 2 R , E f = - G M m / 2 2 R 2 - G M m / 2 2 3 R 2 = - G M m 2 R - G M m 6 R = - 4 G M m 6 R = - 2G M m 3 R E f - E i = &#160; G M m 2 R - 2 3 + 1 2 = &#160; - G M m 6 R . &#160;

A body of mass m is moving in a circular orbit of radius R about a planet of mass M . At some instant, it…

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