Find the maximum speed with which a car can turn on a bend without skidding, if radius of bend is 20 m and coefficient of friction between the road and the tyres is 0.4.

Explanation

To find the maximum speed with which a car can turn on a bend without skidding, we can use the relationship between the centripetal force required to keep the car moving in a circular path and the frictional force that prevents it from skidding.

### Step-by-Step Solution:

1. **Identify the Forces Involved**:
- When a car turns on a bend, it experiences a centripetal force that keeps it moving in a circular path. This force is provided by the friction between the tires and the road.
- The centripetal force (Fc) required for a car of mass \( m \) moving at speed \( v \) on a circular path of radius \( r \) is given by:
\[
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