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
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
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!