The gravitational field in a region is given by I =(5 i +12 j ) Nkg ⁻¹ . The change in the gravitational potential energy of an object of mass 3 ~kg when it is taken from the origin to a point (8 ~m ,-2 ~m ) is

Step-by-step solution

Given, gravitational field intensity, I =(5 i +12 j ) Nkg ⁻¹ Mass of object, m=3 ~kg We know that, change in potential energy from to P(8 m,-2 m) is given by U=m V=m _ (0,0) ^ (8,-2) I d r =3 _ (0,0) ^ (8,-2) (5 i +12 j ) (d x i +d y j )=3[5 x+12 y]_ (0,0) ^ (8,-2) U=3[40-24]=48 ~J