A chair of weight 100N lies atop a horizontal floor; the floor is not frictionless. You push on the chair with a force of F = 43.0N directed at an angle of 35.0^\circ below the horizontal and the chair slides along the floor.

Question

Using Newton's laws, calculate n, the magnitude of the normal force that the floor exerts on the chair.
Express your answer in newtons.

Answer 1

Perform a vertical force balance. The floor exerts a force

100 + 43 sin35 Newtons, vertically up, on the chair.