Solve

Guides

Question

Two bodies of masses m and 4 m are placed at a distance r. The gravitational potential at a point on the line joining them where the gravitational field is zero is :

Open in App

Solution

Verified by Toppr

Given:

Two masses m and 4m kept at a distance r

Let gravitetional potential is zero at a point p

Gmx2−G(4m)(r−x)2=0

1x=2(r−x)

r−x=2x

3x=r

x=r/3

Potential at point p

V=−4Gmm(2r/3)−Gmm(r/3)

V=−Gm(6r+3r)=−9Gmr

Was this answer helpful?

17