± Banked Frictionless Curve, and Flat Curve with Friction A car of mass M = 1500

Question

± Banked Frictionless Curve, and Flat Curve with Friction A car of mass M = 1500 kg traveling at 50.0 km/hour enters a banked turn covered with ice. The road is banked at an angle , and there is no friction between the road and the car's tires as shown in (Figure 1) . Use g = 9.80 m/s2 throughout this problem. Part A What is the radius r of the turn if = 20.0 (assuming the car continues in uniform circular motion around the turn)? Express your answer in meters.

Part B Now, suppose that the curve is level (=0) and that the ice has melted, so that there is a coefficient of static friction between the road and the car's tires as shown in (Figure 2) . What is min, the minimum value of the coefficient of static friction between the tires and the road required to prevent the car from slipping? Assume that the car's speed is still 50.0 km/hour and that the radius of the curve is 54.1 m . Express your answer numerically. min =

Explanation / Answer

1) v = sqrt(rgtantheta)

v^2 = rgtantheta

r = v^2/gtantheta

r = 54.1 m

b) v = sqrt(rg)

= v^2/rg = 0.364

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.