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Question

Physics Question on Gravitation

For a satellite moving in an orbit around the earth, the ratio of kinetic energy to potential energy is :

A

4

B

12\frac{1}{2}

C

12\frac{1}{\sqrt 2}

D

14\frac{1}{4}

Answer

12\frac{1}{2}

Explanation

Solution

The satellite's potential energy is equal to GMmr\frac{-GMm}{r}.
Satellite's Kinetic Energy equals GMm2r\frac{GMm}{2r}, where G is the gravitational constant.
The planet's mass is M, and the satellite's mass is M.
R stands for radius.
The necessary ratio is 12\frac{1}{2} = (Gm2r)(GMmr)\frac{(\frac{Gm}{2r})}{(\frac{GMm}{r})}
Kinetic energy to potential energy is split in half.

Therefore, the correct option is (B): 12\frac{1}{2}