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 statement is true?
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The time period of S1 is four times that of S2
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The potential energies of earth and satellite in the two cases are equal
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S1 and S2 are moving with the same speed
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The kinetic energies of the two satellites are equal
C.
S1 and S2 are moving with the same speed
In same orbit, orbtial speed of satellites remains same. When two satellites of earth are moving in same orbit, then time period of both are equal.
From Kepler's third law
Time period is independent of mass, hence their t ime periods will be equal.
The potential energy and kinetic energy are mass dependent, hence the PE and KE of satellites are not equal.
But, if they are orbiting in a same orbit, then they have equal orbital speed.
