Physics  forces acting at an angle
posted by Leo .
The physics of tobogganing and forces at an angle:
A child is tobogganing down a hillside. The child and the toboggan together have a mass of 50.0kg. The slope is at an angle of 30.0 degrees to the horizontal. Assume that the positive ydirection is pointing in the direction of the normal force. Assume that the positive xdirection is down the incline.
Find the acceleration of the child
a) in the case where there is no friction.
b) if the coefficient of friction is 0.15.

a) a_x = M g sin30/M = 0.50 g
b) a_x = (M g sin30  M g cos30*0.15)/M
= g*(0.50  .130) = 0.37 g