If mass of earth is M, radius is R and gravitational constan... | PHYSICS - THE GRAVITATIONAL CONSTANT | SolveeIt | Solveeit

Today, August 19

Question

If mass of earth is M, radius is R and gravitational constant is G, then work done to take 1 kg mass from earth surface to infinity will be

A

$\sqrt { \frac { G M } { 2 R } }$

B

$\frac { G M } { R }$

C

$\sqrt { \frac { 2 G M } { R } }$

D

$\frac { G M } { 2 R }$

Answer

$\frac { G M } { R }$

Explanation

Solution

Work done = $= U _ { \infty } - U _ { R }$ $= 0 - \left( - \frac { G M m } { R } \right)$ $m = 1 \mathrm {~kg}$ ]