A chair of mass 12.0 kg is sitting on the horizontal floor; the floor is not frictionless. You push on the chair with a force F = 40.0 N that is directed at an angle of 37.0∘ below the horizontal, and the chair slides along the floor.
a) Draw a clearly labeled free-body diagram for the chair.
b) Use your diagram and Newton’s laws to calculate the normal force that the floor exerts on the chair.