## anonymous 3 years ago With what speed must the car travel such that the force that it exerts on the road at point B is 600N? Point B is a top of a hill that is in the shape of a circle with radius 100meters. The car weighs 200N. How do I set this up? I know the answer is 26.2m/s

1. anonymous

note: this is not really possible unless the car is travelling into the road. there is no vertical component of that velocity

2. anonymous

?? i think it has something to do with centripetal forces. So something like v^2/r (which is the acceleration. But i dont really know

3. anonymous

oh lol. i didn't notice the circle part. if so, the force acting on the road will be $$F_c =\frac{ v^2}{r}$$ plug it all in.

4. anonymous

note that: $$F_c =F_g-F_N$$ in this case.

5. anonymous

ohhh, thank you very much. I didn't read it as the normal force was 600N.

6. anonymous

you're welcome :)