For the moon to cease to remain the earth's satellite, its o... | PHYSICS - ESCAPE SPEED | SolveeIt | Solveeit

Today, August 19

Question

For the moon to cease to remain the earth's satellite, its orbital velocity has to increase by a factor of

A

2

B

$\sqrt { 2 }$

C

$1 / \sqrt { 2 }$

D

$\sqrt { 3 }$

Answer

$\sqrt { 2 }$

Explanation

Solution

$v _ { e } = \sqrt { 2 } v _ { 0 }$ i.e. if the orbital velocity of moon is increased by factor of $\sqrt { 2 }$ then it will escape out from the gravitational field of earth.