chair on floor?

Question

A chair of mass 8.00 kg is sitting on the horizontal floor; the floor is not frictionless. You push on the chair with a force 35N that is directed at an angle of 35.0 below the horizontal and the chair slides along the floor.

Use Newton's laws to calculate the normal force that the floor exerts on the chair.
Take free fall acceleration to be 9.80 m/s^2.

Answer 1

Your push adds the vertical component of the applied force to the weight.
Fnormal = gm+35sin(35 deg)