Find the maximum speed at which a car can take turn round a curve of 30 cm radius on a level road if the coefficient of friction between the tyres and the road is 0.4. Take `g = 10 ms^(-2)`.

Explanation

To find the maximum speed at which a car can take a turn around a curve of 30 cm radius on a level road with a coefficient of friction of 0.4, we can follow these steps:

### Step 1: Understand the formula for maximum speed
The maximum speed \( V_{\text{max}} \) at which a car can take a turn is given by the formula:
\[ V_{\text{max}} = \sqrt{\mu g r} \]
where:
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