Question Detail

PHY 101 PHY 101 Past Questions Objective Question

Question

The coefficient of static friction between the tires of a car whose velocity is 60 km/h and the road is 0.65. What is the smallest radius through which the car can turn without skidding?
Options
A 553 m
B 533 m
C 30 m
D 42.7 m
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

Convert 60 km/h to m/s: 60 × (1000/3600) = 16.67 m/s. For no skidding, friction provides centripetal force: μmg = mv²/r → r = v²/(μg) = (16.67)²/(0.65×9.8) = 278.9/(6.37) = 43.8 m ≈ 42.7 m.

Hint

r = v²/(μg).

Question Info