Question Detail

PHY 101 Circular Motion Objective Question

Question

What is the maximum speed at which an automobile can negotiate a flat curve of radius 100 m without sliding if the coefficient of static friction is 0.7? (Take g = 9.8 m/s²)
Options
A 26.2 m/s
Correct Answer
B 8.37 m/s
C 686 m/s
D 70 m/s
Correct Answer

Option A is the correct answer.

Detailed Explanation

Using the formula v = √(μgr) derived from μ g = v²/r, we get v = √(0.7 * 9.8 m/s² * 100 m) = √(686) ≈ 26.2 m/s.

Hint

The maximum speed is found by v = √(μ g r).

Question Info