A car of mass 1500 kg is negotiating a flat circular curve of radius 50 m with a speed of 20 m/s.
a. The source of centripetal force on the car is (1) the weight of the car, (2) the normal force on
the car, or (3) the static friction force.
b. What is the magnitude of the centripetal acceleration of the car?
c. What is the magnitude of the centripetal force on the car?
d. What is the minimum coefficient of static friction between the car and the curve?
I’m
Question
Answer:
Explanation:
a. The source of centripetal force on the car is (3) the static friction force.
b. ac = v²/R = (20²)/50 = 8 m/s²
c. Fc = m(ac) = 1500(8) = 12 kN
d. μ = Fc/N = Fc/mg = 12000 / 1500(9.8) = 0.8163… ≈ 0.82