A crate of mass 25 kg rests on a smooth horizontal floor. A rope exerts the force (72i+34j)(72\mathbf{i}+34\mathbf{j})(72i+34j) N on the crate, where i\mathbf{i}i is horizontal in the direction of motion and j\mathbf{j}j is vertically upwards. Use g=9.8 m s−2g=9.8\text{ m s}^{-2}g=9.8 m s−2.
Find the acceleration of the crate.
Find the normal contact force exerted by the floor on the crate.