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Two satellites of earth, S₁ and S₂ are moving in the same orbit. The mass of S₁ is four times the mass of S₂. Which one of the following statements is true?

1. The potential energies of earth satellites in the two cases are equal.
2. S₁ and S₂ are moving with the same speed.
3. The kinetic energies of the two satellites are equal.
4. The time period of S₁ is four times that of S₂.

Correct answer: S₁ and S₂ are moving with the same speed.

Solution

In the same orbit, the orbital speed of a satellite depends only on the mass of the Earth and the radius of the orbit, not on the mass of the satellite. Hence, both satellites will have the same speed.

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