A roller coaster car of mass 900 kg when released from rest at
point A (height h above the ground) slides along the track
and inside the loop of radius 15.0 m. The car never loses contact
with the track.
- Draw below a free body diagram for the car at the bottom of the
loop. If the speed of the car at the bottom of the loop (point B)
is 25 m/s, what is the normal force at that point?
- What would be the maximum height of release of the car, if the
speed at the top of the loop is not to exceed 16 m/s and the amount
of thermal energy produced by friction from the point of release to
the top of the loop should not exceed 10% of the mechanical energy
at the point of release?