A satellite of earth of mass ' m ' is taken from orbital radius 2 R to 3 R, then minimum work done is :-

Question

A satellite of earth of mass ' m ' is taken from orbital radius 2 R to 3 R, then minimum work done is :- (A) ( GMm /6 R ) (B) ( GMm /12 R ) (C) ( GMm /24 R ) (D) ( GMm /3 R )

Tardigrade Admin · Accepted Answer

W = E 2- E 1 =( GMm /2)((1/2 R )-(1/3 R )) =( GMm /12 R )

Q. A satellite of earth of mass ' $m$ ' is taken from orbital radius $2 R$ to $3 R$ , then minimum work done is :-

$\frac{GM m}{6 R}$

$\frac{GM m}{12 R}$

$\frac{GM m}{24 R}$

$\frac{GM m}{3 R}$

$W = E_{2} - E_{1}$
$= \frac{GM m}{2} (\frac{1}{2 R} - \frac{1}{3 R})$
$= \frac{GM m}{12 R}$

Q. A satellite of earth of mass ' m ' is taken from orbital radius 2R to 3R, then minimum work done is :-

6RGMm​

12RGMm​

24RGMm​

3RGMm​