Dynamics of Circular Motion: Practice Problem & Solution

Short Solution (Best for NEET):

To solve this problem, we apply the core principles of Dynamics of Circular Motion. Understanding the underlying formula is key to arriving at the correct answer below:

The angle of banking is given by \(sin\theta \approx \tan\theta = \frac{h}{w} = \frac{2}{20} = 0.1\). Also, \(\tan\theta = \frac{v^2}{Rg}\). Equating these, \(frac{v^2}{15 \times 9.8} = 0.1 ⇒ v^2 = 14.7 ⇒ v = \sqrt{14.7}\text{ m/s}\).