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  • An earth satellite is moved from one stable circular orbit to a farther stable circular orbit. Which

An earth \mathrm{s} satellite is moved from one stable circular orbit to a farther stable circular orbit. Which one of the following quantities increases?
 

Option: 1

Linear orbital speed
 


Option: 2

Gravitation force
 


Option: 3

Centripetal acceleration
 


Option: 4

Gravitational potential energy


Answers (1)

best_answer

Gravitational potential energy is given as

\mathrm{ \mathrm{U}=-\frac{\mathrm{GMm}}{\mathrm{r}} }

\mathrm{ \mathrm{U}_1=\frac{-\mathrm{GMm}}{\mathrm{r}_1} ; \mathrm{U}_2=\frac{-\mathrm{GMm}}{\mathrm{r}_2} ; \mathrm{r}_2>\mathrm{r}_1 }

\mathrm{ \mathrm{U}_1-\mathrm{U}_2=\frac{-\mathrm{GMm}}{\mathrm{r}_1}+\frac{\mathrm{GMm}}{\mathrm{r}_2} }

\mathrm{ =\mathrm{GMm}\left[\frac{\mathrm{r}_2-\mathrm{r}_1}{\mathrm{r}_1 \mathrm{r}_2}\right]=\text { positive } }

\mathrm{ \mathrm{U}_1>\mathrm{U}_2 \text { or } \mathrm{U}_2<\mathrm{U}_1 }

Hence option 4 is correct.




 

Posted by

HARSH KANKARIA

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