Two satellites of earth,S_{1} and S_{2},are m | vedclass

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(C) The orbital speed of a satellite is given by $v = \sqrt{\frac{GM}{r}}$,where $G$ is the gravitational constant,$M$ is the mass of the earth,and $r

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$S_{1}$ and $S_{2}$ are moving with the same speed

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(C) The orbital speed of a satellite is given by $v = \sqrt{\frac{GM}{r}}$,where $G$ is the gravitational constant,$M$ is the mass of the earth,and $r$ is the radius of the orbit.Since both satellites are in the same orbit,$r$ is the same for both.Therefore,the orbital speed $v$ is independent of the mass of the satellite.Thus,$S_{1}$ and $S_{2}$ move with the same speed.The time period is given by $T = \frac{2\pi r}{v}$,which is also independent of the mass of the satellite.Potential energy $U = -\frac{GMm}{r}$ and kinetic energy $K = \frac{GMm}{2r}$ both depend on the mass $m$ of the satellite,so they are not equal for $S_{1}$ and $S_{2}$.

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?

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