Solveeit Logo

Question

Question: Assuming the coefficient of friction between the road and tyres of a car to be 0.5, the maximum spee...

Assuming the coefficient of friction between the road and tyres of a car to be 0.5, the maximum speed with which the car can move round a curve of 40.0 m radius without slipping, if the road is unbanked, should be

A

25 m/s

B

19 m/s

C

14 m/s

D

11 m/s

Answer

14 m/s

Explanation

Solution

v=μgr=0.5×9.8×40=196=14 m/sv = \sqrt { \mu g r } = \sqrt { 0.5 \times 9.8 \times 40 } = \sqrt { 196 } = 14 \mathrm {~m} / \mathrm { s }