Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Gravitation

Question:

A satellite is moving round the earth. In order to make it move to infinity its speed must be increased by

Options:

20.7%

41.4%

82.8%

it is not possible to do so

Correct Answer:

41.4%

Explanation:

$v=\sqrt{\frac{G M}{r}}$  &  $v_e=\sqrt{\frac{2 G M}{r}}$

$\frac{v_e-v}{v}=\sqrt{\frac{2 G M}{r}}-\sqrt{\frac{\frac{GM}{r}}{\frac{GM}{r}}}$

$=\frac{\sqrt{2}-1}{1}$ = 0.414 or 41.4%