Gravitation Question 267
Question: Potential energy of a satellite having mass ?m? and rotating at a height of $ [6.4\times 10^{6}m] $ from the earth surface is [AIIMS 2000; CBSE PMT 2001; BHU 2001]
Options:
A) $ [-0.5,mgR_{e}] $
B) $ [-mgR_{e}] $
C) $ [-2,mgR_{e}] $
D) $ [4,mgR_{e}] $
Show Answer
Answer:
Correct Answer: A
Solution:
Potential energy = $ [\frac{-GMm}{r}=\frac{GMm}{R_{e}+h}=\frac{-GMm}{2R_{e}}] $ = $ [-\frac{gR_{e}^{2}m}{2R_{e}}] $ $ [=-\frac{1}{2}mgR_{e}] $ $ [=-0.5mgR_{e}] $
