First slide

Motion of planets and satellites

Question

The correct graph representing the variation of total energy $(E_{t})$ , kinetic energy $(E_{k})$ and potential energy (U) of a satellite with its distance from the centre of earth is

Moderate

A
B
C
D

Solution

$U = \frac{- GMm}{r}, K = \frac{GMm}{2 r} and E = \frac{- GMm}{2 r}$
For a satellite U,K and E varies with r and also U and E remains negative whereas K remain always positive.

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