Q. An earth satellite is moved from one stable circular orbit to farther stable circular orbit. Which one of the following quantities increase?

A) Linear orbit speed
B) Gravitational force
C) Centripetal acceleration
D) Gravitational potential energy
Explanation

(d) Gravitational potential energy is given as
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ U = - \frac{GMm}{r}$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ U_{1} = - \frac{GMm}{r_{1}},U_{2} = - \frac{GMm}{r_{2}}$
$As\ r_{2} > r_{1},\ hence,$
$\ \ \ \ \ \ \ \ \ \ \ U_{1} - U_{2} = GMm\left\lbrack \frac{r_{2} - r_{1}}{r_{1}r_{2}} \right\rbrack\ is\ positie$
$ie,\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ U_{1} > U_{2}$
$or\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ U_{2} < U_{1}$
$ie,$ gravitational potential energy increases.

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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