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Two satellites \mathrm{A \: and \: B} move round the earth in the same orbit. The mass of \mathrm{ B} is twice the mass of \mathrm{A}. which of the followings is correct?
 

Option: 1

Speeds of \mathrm{A \: and \: B} are equal
 


Option: 2

The potential energy of earth \mathrm{+A} is same as that of earth \mathrm{ +B}
 


Option: 3

The kinetic energy of \mathrm{A \: and\: B} are equal

 


Option: 4

The total energy of earth \mathrm{+A} is same as that of earth \mathrm{+B}.


Answers (1)

best_answer

\mathrm{v\left(=\sqrt{\frac{G M}{r}}\right)} is independent of mass of the satellite.
\mathrm{ |P E|=2 K E=\frac{G M m}{r} }

\mathrm{ \Rightarrow \mathrm{PE} \& \mathrm{KE} } depend on these

\mathrm{ \therefore \frac{\mathrm{V}_1}{\mathrm{v}_2}=1, }speeds are equal

Hence option 1 is correct.

Posted by

SANGALDEEP SINGH

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