Question

A car negotiate a bend of radius 20m with an acceleration of 12m/s^2. What is the maximum speed the car can attain without skidding?

Answer 1

According to Newton's second law, if 12 m/s² is centripetal acceleration:

$$ma=m\frac{v^2}{R},\\ v=\sqrt{aR}=\sqrt{12\cdot20}=15.5\text{ m/s}.$$