A person pushes a shopping cart of 10.8 kg at a constant velocity for a distance of 18.9 m on a flat horizontal surface. She pushes in the direction of 26.7 degrees beneath the horizontal. A 33.6 N frictional force opposes the motion of the cart.
(i) Determine the magnitude of the force which the shopper applies? Find out the work done by (ii) the pushing force, and (iii) the frictional force, and (iv) the gravitational force.