A child on a sledge is being pulled along a horizontal path by its parent. The child and sledge have a combined mass of 20kg and there is a normal contact force of 124.5 N given there is no resistance to motion and the parent pulls with a force of 125 N at an angle theta to the horizontal. then what is the angle theta?

Question

A child on a sledge is being pulled along a horizontal path by its parent.  The child and sledge have a combined mass of 20kg and there is a normal contact force of 124.5 N given there is no resistance to motion and the parent pulls with a force of 125 N at an angle theta to the horizontal. then what is the angle theta?

mathmate · Answer

mg - N = Fsin(theta)
Solve for theta.