The gravitational potential due to a mass distrubution is given by `V=(8x)/(x^(2)+p^(2))`. Find gravitational field at x = p.

Explanation

We know, `vec(E )=- (del V)/(del x)hat(i)`
`=-8 (d)/(dx)((x)/(x^(2)+p^(2)))hat(i)`
`=-8(((x^(2)+p^(2))-x(2x))/((x^(2)+p^(2))^(2)))hat(i)`
`rArr vec(E )=8((x^(2)-p^(2)))/((x^(2)+p^(2))^(2))hat(i)`
At `x=p, vec(E ) = 0`.