A cyclist speeding at `18 km// h` on a level road takes a sharp circular turn of radius 3 m without reducing the speed . The coefficient of static friction between the tyres and the road is 0.1 Will the cyclist slip while taking the turn ?

Explanation

To determine if the cyclist will slip while taking a sharp circular turn, we need to analyze the forces acting on the cyclist and compare the required centripetal force to the available frictional force.

### Step-by-Step Solution:

1. **Convert Speed from km/h to m/s**:
The cyclist's speed is given as 18 km/h. To convert this to meters per second (m/s), we use the conversion factor:
\[
\text{Speed in m/s} = \frac{\text{Speed in km/h} \times 1000}{3600} = \frac{18 \times 1000}{3600} = 5 \text{ m/s}
...