Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Gravitation

Question:

An orbiting satellite will escape if

Options:

its speed is increased by 41%

its speed in the orbit is increased to $\sqrt{1.5}$ times its initial value

its kinetic energy is doubled

if it stops moving in the orbit

Correct Answer:

its kinetic energy is doubled

Explanation:

$v_e=\sqrt{\frac{2 G m}{r}}, v_0=\sqrt{\frac{G m}{r}}$,

$\frac{v_e-v_0}{v_e}=\frac{v_2-1}{1}$ = 0.41 or 41 %

$\frac{KE_2}{KE_1}=\left(\frac{v_{e}}{V_0}\right)^2=2$

⇒ KE is doubled