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
21
C
21
D
41
Answer
21
Explanation
Solution
The satellite's potential energy is equal to r−GMm.
Satellite's Kinetic Energy equals 2rGMm, 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 21 = (rGMm)(2rGm)
Kinetic energy to potential energy is split in half.
Therefore, the correct option is (B): 21