A motorcycle has a constant speed of 20.8 m/s as it passes over the top of a hill whose radius of curvature is 159 m. The mass of the motorcycle and driver is 387 kg. Find the magnitude of (a) the centripetal force and (b) the normal force that acts on the cycle.
Ac = m v^2/r = 387 (20.8)^2/159
m g - f = m Ac
f = m(g-Ac)