A child of mass 34 kg sits on a wooden horse on a carousel. The wooden horse is 3.1 m from the center of the carousel, which rotates at a constant rate and completes one revolution every 5.3 seconds.

(a) What are the magnitude and direction of , the parallel component of for the child?

magnitude: kg·m/s/s

(b) What are the magnitude and direction of , the perpendicular component of for the child?

magnitude: kg·m/s/s

(c) What are the magnitude and direction of the net force acting on the child?

magnitude: N