Find the maximum speed with which a car be safely driven along a curve of radius 100 , . If the coefficient of fricition between its tyres and the road is 0.2.

Explanation

To find the maximum speed with which a car can safely drive along a curve of radius 100 m, given that the coefficient of friction between its tires and the road is 0.2, we can follow these steps:

### Step 1: Understand the Forces Involved
When a car drives around a curve, it requires a centripetal force to keep it moving in a circular path. This force is provided by the friction between the tires and the road. The maximum frictional force can be calculated using the formula:
\[ F_{\text{friction}} = \mu \cdot m \cdot g \]
where:
- \( \mu \) is the coefficient of friction (0.2),
- \( m \) is the mass of the car,
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