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  4. The total mechanical energy of an object of mass m projected from surface of earth with escape speed is

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Q. The total mechanical energy of an object of mass $m$ projected from surface of earth with escape speed is

Gravitation

Solution:

Total mechanical energy $=$ K.E + P.E
$V_{\text {escape }}=\sqrt{\frac{2 G M}{R}} $
$ \Rightarrow $ Total mechanical energy $ =\frac{1}{2} m \times \frac{2 G M}{R}-\frac{G M m}{R} $
$ =0$