Given below are two statements: Statement I: If E be the total...

Let $m$ be the mass of the satellite.

The potential energy of the satellite is

$U = \dfrac{- GMm}{r}$

The velocity of the satellite is given by

$v = \sqrt{\dfrac{GM}{r}}$

Kinetic energy is given by

$K = \dfrac{m{v}^{2}}{2} = \dfrac{m}{2}\dfrac{GM}{r} = \dfrac{GMm}{2r}$

The total mechanical energy is the sum of potential and kinetic energy. So,

$T = K + U = \dfrac{GMm}{2r} - \dfrac{GMm}{r} = - \dfrac{GMm}{2r}$

Hence, both the statements are false.