If gravitational field is given by `E -x hat(i) - 2 y^(2) hat(j)`. When gravitational potential is zero ar (0,0) find potential cat (2,1)

(a) If gravitational field is given by vecE=-2xhati-3y^(2)hatj . If gravitational potential is zero at (0,0) , find potential at (1,2) (b) If gravitational potential is V=x^(2)Y , find gravitational field at (1,2) .

The gravitational field in a region is given by vec(E) = (4hat(i) + 3hat(j)) N//Kg . The gravitational potential at the points (3m, 0) and (0, 4m). If the potential at the origin is taken to be zero.

If gravitational potential is V = xy^(2) , find the gravitational field at (2,1)

If gravitational potential is V = xy^(2) , find the gravitational field at (2,1)

The gravitational field in a region is given by vec(E) = (5hat(i) + 12 hat(j))N//Kg . The change in gravitational potential energy if a particle of mass 1 kg is taken from the origin to the point (12m, 5m).

The gravitational field in a region is given by vecE=-(20Nkg^(-1))(hati+hatj) . Find the gravitational potential at the origin (0,0) in J kg^(-1)