You pull a box of inertia m across a floor with negligible friction using a lightweight string that makes an angle θ with the horizontal. You pull on the string with a force of magnitude |F|. The box remains in contact with the floor and accelerates to the right as shown:
In the space below, draw a free-body diagram for the box. Label the forces acting on the box. Find |a|, the magnitude of the box's acceleration, in terms of |F|, m, θ, and any necessary constants. Find the magnitude of the normal force exerted by the floor on the box in terms of |F|, m, θ, and any necessary constants.