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Question

Physics Question on Gravitational Potential Energy

The correct graph representing the variation of total energy (ET)(E_T), kinetic energy (EK)(E_K) and potential energy (Ep)(E_p) of a satellite with its distance (r)(r) from the centre of earth is

A

B

C

D

Answer

Explanation

Solution

ET=GMm2r;E_{T}=-\frac{GM\,m}{2r}; Thus ETE_{T} increases with increase in rr Ek=GMm2rE_{k}=\frac{GM\,m}{2r} ; Thus EkE_{k} decreases with increase in rr Ep=GMmrE_{p}=\frac{-GM \,m}{r} ; Thus EpE_{p} increases with increase in rr