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

Two bodies of masses m and 4m are placed at a distance r. Calculate th

1.	Two bodies of masses m and 4m are placed at a distance r. Calculate the gravitational potential at a point on the line joining them where the gravitational field is zero.
Answer» SOLUTION :Given:`m_(1)=m` `m_(2)=4m` distance = R To find:V = ?? `(Gm)/(x^2)=(G(m.4))/((r-x)^(2))` `(r-x)^(2)=4x^(2)rArr(r-x)=2X` `r=3x` `thereforex=(r)/(3)` `V=(Gm)/(r//3)-(G(4m))/(2r//3)` `=-(9Gm)/(r)`