A mass $m$ is released from rest at a height of $6h$ on the frictionless track shown and

eventually slides off the ramp at the right hand side. The end of the ramp is $h$ above the

lowest point of the track. Assume that there is no air resistance.

a$)$ What is the normal force exerted by the track on the mass at point A$?$

b$)$ What is the velocity of the mass at the end of the ramp?

c$)$ What is the maximum height the mass rises to above the ground after sliding off the end

of the ramp?