If one wants to remove all the mass |GravitationJEEMain2021

JEE MAIN 2021

16-03-2021 S2

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 $\frac{x}{5} \frac{G M^2}{R}$ where $x$ is $\_\_\_\_$ (Round off to the Nearest Integer) ( $M$ is the mass of earth, $R$ is the radius of earth, $G$ is the gravitational constant)

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Solution

$\begin{aligned} \text { Energy given } & =U_f-U_i \\ & =0-\left(-\frac{3}{5} \frac{G M}{R}\right) \\ & =\frac{3}{5} \frac{G M^2}{R} \quad \Rightarrow x=3\end{aligned}$

Question Tags

JEE Main

Physics

Easy

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