t Banked Frictionless Curve, and Flat Curve with Friction A car of mass M 1500 k

Question

t Banked Frictionless Curve, and Flat Curve with Friction A car of mass M 1500 kg traveling at 45.0 km/hour enters a banked turn covered with ice. The road is banked at an angle 6, 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. of 2 Figure 1 Part A What is the radius r of the turn if 0 20.0 assuming the car continues in uniform circular motion around the turn)? Express your answer in meters. 43.8 m Submit Hints My Answers Give Up Review Part Correct Part B Now, suppose that the curve is level (6 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 umin, 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 45.0 km/hour and that the radius of the curve is 43.8 m Express your answer numerically. Hmin Submit Hints My Answers Give Up Review Part

Explanation / Answer

if theta = 0 degrees

then v^2 = mu*rg

coefficient of static friction is mu_min = v^2/(r*g)

v = 45 km/hr = 45*5/18 = 12.5 m/sec

mu_min = 12.5^2/(43.8*9.8) = 0.364

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