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 maximum safe speed on an unbanked circular curve is \(v_{\max} = \sqrt{\mu g r}\). Substituting the values, \(v_{\max} = \sqrt{0.75 \times 10 \times 30} = \sqrt{225} = 15\text{ m/s}\).