Question 417: Gravitation

Question

Two satellites of earth, S
1
and S
2
are moving in the same orbit. The mass of S
1
is four times the mass of S
2
. Which one of the following statements is true ?

Accepted Answer

Since orbital velocity of satellite is $$v = \sqrt {{{GM} \over r}} $$
it does not depend upon the mass of the satellite.
Therefore, both satellites will move with same speed.

Answer

The potential energies of earth and satellite in the two cases are equal.

Answer

S
1
and S
2
are moving with the same speed.

Answer

The kinetic energies of the two satellites are equal.

Answer

The time period of S
1
is four times that of S
2
.

Gravitation

Two satellites of earth, S 1 and S 2 are moving in the same orbit. The mass of S 1 is four times the mass of S 2 . Which one of the following statements is true ?

Choose the correct answer: