Question

why is the energy for satellite GMm/2R ​

Answer 1

Answer:

The kinetic energy of an object in orbit can easily be found from the following equations:

Centripetal force on a satellite of mass m moving at velocity v in an orbit of radius r = mv2/r

But this is equal to the gravitational force (F) between the planet (mass M) and the satellite:

F =GMm/r2 and so mv2 = GMm/r

But kinetic energy = ½mv2 and so:

kinetic energy of the satellite = ½ GMm/r

Explanation:

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