#### Question

A scooter weighing 150 kg together with its rider moving at 36 km/hr is to take a turn of a radius 30 m. What horizontal force on the scooter is needed to make the turn possible ?

#### Solution

Given:

Mass = m = 150 kg

Speed = v = 36 km/hr = 10 m/s

Radius of turn = r = 30 m

Let the horizontal force needed to make the turn be F. We have :

\[F = \frac{\text{mv}^2}{\text{r}} = \frac{150 \times (10 )^2}{30}\]

\[ = \frac{150 \times 100}{30} = 500 \text{ N}\]

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Solution A Scooter Weighing 150 Kg Together with Its Rider Moving at 36 Km/Hr is to Take a Turn of a Radius 30 M. What Horizontal Force on the Scooter is Needed to Make the Turn Possible ? Concept: Circular Motion.