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## Homework Statement

In case the numbers are hard to read:

Mass of the cart- .5g

Initial Velocity- 1.5 m/s

The height of the first hill is 2.

Radius of the circle- .09m

I need to find velocity (final, i think)

force(s) on the cart at point A

the magnitude of the force(s) at point a

Work Non Conservative if there was friction at point A

Also answer:

How would you change the set up if the car lost contact with point A?

## The Attempt at a Solution

So, I don't know.. I think I have an idea of how to start? This problem has me so lost.

a) To find the velocity, I tried doing

EFr=mar

EF=m(v^2/r)

and then, I wasn't quite sure of the radial forces.. I know that there is gravity obviously, but I didn't know if normal force cancelled out because it was at the top? But I figured this equation was right because i have the mass and radius.

b) For the forces on the cart at point A.. again, I have gravity and normal force, but i dont know if force normal cancels out.

c) I think I know how to find the magnitude.. Fg=mg and Fn=mg? Fn could be wrong.

d) Work non conservative.. would be friction. So, Wnc=(coefficient of friction)(Fn)(displacement)

e) and i really dont know how to change the setup, because i don't really know what's going on at point a that would make the car lose contact with the track.

thanks for your help!