Gravitation Question 310
Question: A mass M is split into two parts m and (M- w), which are then separated by a certain distance. What ratio of m/M maximizes the gravitational force between the two parts?
Options:
A) $ [\frac{1}{3}] $
B) $ [\frac{1}{2}] $
C) $ [\frac{1}{4}] $
D) $ [\frac{1}{5}] $
Show Answer
Answer:
Correct Answer: B
Solution:
- $ [F=G\frac{m\left( M-m \right)}{r^{2}}] $ For maximum value of F,$ [dF/dm=0] $ and so m=M/2.
