If one wants to remove all the mass of the earth to infinity in order to break it up completely. The amount of energy that needs to be supplied
Question:
If one wants to remove all the mass of the earth to infinity in order to break it up completely. The amount of energy that needs to be supplied
will be $\frac{x}{5} \frac{G^{2}}{R}$ where $x$ is (Round off to
the Nearest Integer)
( $M$ is the mass of earth, R is the radius of earth, $\mathrm{G}$ is the gravitational constant)
Solution:
Ans. (3)
Energy given $=\mathrm{U}_{\mathrm{f}}-\mathrm{U}_{\mathrm{i}}$
$=0-\left(-\frac{3}{5} \frac{\mathrm{GM}^{2}}{\mathrm{R}}\right)$
$=\frac{3}{5} \frac{\mathrm{GM}^{2}}{\mathrm{R}}$
$x=3$