A rocket of mass, m, is fired from the earth’s surface so that it just escapes from the gravitational influence of the earth. If the radius of the earth is r, show that the velocity of escape V, is given by V =√2gr.

A rocket of mass, m, is fired from the earth’s surface so that it just escapes from the gravitational influence of the earth. If the radius of the earth is r, show that the velocity of escape V, is given by v = √(2gr)

Derivation

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