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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 time period of  is four times that of 

b)

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

c)

 and  are moving with the  same speed

d)

The kinetic energies of the two satellites are equal


Question ID - 54956 | Toppr Answer

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 time period of  is four times that of 

b)

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

c)

 and  are moving with the  same speed

d)

The kinetic energies of the two satellites are equal

1 Answer - 5876 Votes

3537

Answer Key : (c) -

(c)

When two satellite 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 time 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.



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