Question

A car of mass M=1500 kg traveling at 65.0 km/ hour enters a banked tum covered with ice. The road is barked at an angle θ, and there is no triction between the road and the car's tires as shown in (Eloute 1). Use g =98 m/s2 throughout this problem

Part B Now, suppose that the curve is level (θ=0) and that the ice has melted, oo that there is a coeflicent of static friction μ between the road and the cars tres as shown in (Egoree 2). Whal is μmin the minimum value of the coeticient of static triction betweon the bires and the rood required to prevent the car from slipping? Assume that the cars speed is stli 65.0 km/ hotur and that the radius of the curve is 91.4 m. Express your answer numerically.

Answer 1

F = M V^2 / R centripetal force required to keep car in circle

F = μ M G force due to static friction

μ = V^2 / (R G) equating centripetal force to friction required

V = 65 km/hr = 65000 m / 3600 sec = 18.1 m/sec

μ = 18.1^2 / (91.4 * 9.80) = .37