A 14,700 N car traveling at 52.5 km/h rounds a curve of radius 1.60 ✕ 102 m.
(a) What is the centripetal acceleration of the car?
m/s2
(b) What is the centripetal force?
N
(c) What is the minimum coefficient of static friction between the tires and the road that will allow the car to round the curve safely?
Fc = mv2 / r
14700 kg-m/s2 / 9.81 m/s2 = 1498.47 kg mass of car
52.5 km/hr = 14.583 m/s
Fc = 1498.47 * (14.583)2 / (160) = 1991.78 N
us = v2 /( rg) = 14.5832 / (160 * 9.81) = .135 (coefficient of static friction)