The speeds of a 600-kg roller coaster car at the top of three consecutive hills are shown below. The radii of the hills are shown. Determine the acceleration, force, and normal force experienced by the car at the top of each hill.
m*a = F
F = (m*v^2) / r
4.5 * 600 = 2700
(600 * 36) / 8 = 2700
4.2 * 600 = 2520
4 * 600 = 2400
Each hill:
Ma = Ef
56602100
4.2 * 600 = 2520
4 * 600 = 2400
F = mv^2
Hill A:
v = 6m/s
v = 5m/s
4m/s
600√36
25 = 4.2
1391
36 = 4.5
8