Question

The minimum velocity (in m/s) with which a car driver must traverse a flat curve of radius 150 m and coefficient of friction 0.6 to avoid skidding is

• A. 60
• B. 30
• C. 15
• D. 0

Hint:

To avoid skidding on a curve, use the formula \( v = \sqrt{g r \mu} \) where \( \mu \) is the coefficient of friction.

Answer 1

The Correct Option is B

Step 1: Use the formula for the minimum velocity to avoid skidding.
The minimum velocity \( v \) is given by the formula: \[ v = \sqrt{g r \mu} \] where \( g = 9.8 \, \text{m/s}^2 \), \( r = 150 \, \text{m} \), and \( \mu = 0.6 \).
Step 2: Substitute the values.
\[ v = \sqrt{9.8 \times 150 \times 0.6} = 30 \, \text{m/s} \] Final Answer: \[ \boxed{30 \, \text{m/s}} \]