# 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 $=\mathrm{U}_{\mathrm{f}}-\mathrm{U}_{\mathrm{i}}$

$=0-\left(-\frac{3}{5} \frac{\mathrm{GM}^{2}}{\mathrm{R}}\right)$

$=\frac{3}{5} \frac{\mathrm{GM}^{2}}{\mathrm{R}}$

$x=3$