7. A 5.00 kg block is on a horizontal surface. One force acting on the block is \(F = kx^2y \hat{j}\), where \(k = 6.00 \frac{N}{m^3}\), and x and y are the coordinates of the block on the surface.
Determine the work done by this force as the block is moved along a straight-line path from
(a) x = 0 m, y = 0 m to x = 4.00 m, y = 0 m.
(b) x = 4.00 m, y = 0 m to x = 4.00 m, y = 4.00 m.
(c) x = 0 m, y = 0 m to x = 4.00 m, y = 4.00 m.
(d) Based on your answers to the above, can you say whether the force is conservative or not?
Justify your answer for any credit.