an object of mass M is divided into two parts , which are placed at distance d if gravitational - Physics - Gravitation

Question

an object of mass M is divided into two parts , which are placed
at distance d if gravitational force of attraction is max between
parts, then find the ratio of mass of both parts
ans: 1:1
???

Ashish Jain · Accepted Answer

let m1 = m, m2= M - m , the gravitational
force of attraction is
F =
Gm(M-m)d2differentiating with respect to m we
getdFdm=Gd2M-m+(-m)=Gd2[M-2m]ifF is maximum, then dFdm
=0Gd2[M-2m]=0, M= 2mMm=2m = M2

an object of mass M is divided into two parts , which are placed at distance d. if gravitational force of attraction is max between parts, then find the ratio of mass of both parts. ans: 1:1 ???

an object of mass M is divided into two parts , which are placed at distance d. if gravitational force of attraction is max between parts, then find the ratio of mass of both parts.

ans: 1:1

???