Question

A mass m is split into two parts, m and (m – m), which are then separated by a certain distance. What ratio of m/m maximizes the gravitational force between the two parts

Answer 1

Correct Answer and solution

Answer 2

Explanation:

F=Gm(M-m)/r^2

for maximum force

dF/dm=0

d/dm(GmM/r^2 - Gm^2/r^2)=o

M-2m=0

m/M=1/2

=1:2