It is the night before your child's birthday and you are building a toy car-loop track for your child. You have noticed that if the track is attached to the coffee table, the car will need an initial velocity to keep from falling off the track as it goes through a 360° loop.
What is known:
The loop height hL is 1.6 ft.
The start height hs is 1.8 ft.
The slope is 2/3.
Friction between the toy car and the track may be ignored.
At what initial speed should the car be launched to make the loop?
All forces are conservative since there is no friction.
Use the Conservation of Energy energy since all energy terms are
conservative (no friction energy loss),