A child's toy consists of a toy car of mass 0.100kg which is able to roll without friction on the loop-the-loop track shown. The car is accelerated from rest by pushing it with force F over a distance d, then the car slides with a constant velocity until it encounters the loop. The radius of the loop is R.
A. The Child can push with a constant force of 3.20N. Use the Work-Kinetic Energy Theorem to find the speed of the car at the end of a 1.50m push.
B. If the radius of the loop is R=80.0cm what is the speed of the car when it reaches the top of the loop.
C. What is the minimum distance d that the child must push for the car to stay on the track at the top of the loop?