A car is moving along a circular path having coefficient of friction 0.5 and radius of curvature 16.2 ~m . Then the maximum velocity of the car that can travel without falling outwards is (Acceleration due to gravity =10 ~ms ⁻² )

Step-by-step solution

Coefficient of friction, =0.5 Radius of curvature, r=16.2 ~m Along the radial direction, we have friction provides the centripetal force, f = N = mg aligned & m ^2 r = mg & v= rg = 0.5 16.2 10 & =9 ~m / s & =32.4 ~km / h aligned