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  4. A satellite is moved from one circular orbit around the earth, to another of lesser radius. Which of the following statement is true?

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Q. A satellite is moved from one circular orbit around the earth, to another of lesser radius. Which of the following statement is true?

Gravitation

Solution:

In the circular motion around the Earth, the centripetal force on the satellite is a gravitational force. Therefore, $v^2 = GM/R$, where $M$ is the mass of the Earth, $R$ is the radius of the orbit of satellite and $G$ is the universal gravitational constant. Therefore, the kinetic energy increases with the decrease in the radius of the orbit. The gravitational potential energy is negative and decreases with the decrease in radius.