The gravitational field in a region is given by V= 20N Kg -1 (x+y). (a) Show that the equation is dimensionally correct. (b) Find the gravitational field at the point (x, y). Leave your answer in terms of the unit vectors i, j, k (c) Calculate the magnitude of the gravitational force on a particle of mass 500g placed at the origin.

Question

Philoid · Accepted Answer

The dimension of

now, the dimension of potential is

Hence the equation is dimensionally correct.

(b) The field is given by

The electric field is independent of the coordinate.

(c) The force is given by

And magnitude of the force is