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Question: Two satellites of earth ![](https://cdn.pureessence.tech/canvas_27.png?top_left_x=1132&top_left_y=36...

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

A

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

B

are moving with the same speed.

C

The kinetic energies of the two satellites are equal.

D

The time period of is four times that

Answer

are moving with the same speed.

Explanation

Solution

Both orbital speed of satellite and time period of revolutions of satellite,

are independent of mass of satellite. Therefore orbital speed and time period of revolutions of both the satellites are same. Hence options (2) is correct.

The kinetic energy of a satellite,

and potential energy of a satellite, .

Both depend on mass of satellite, very with mass of satellite.