A car is moving on a circular level road of the radius of curvature 300 m . If the coefficient of friction is 0 . 3 and acceleration due to gravity is 10 m s - 2 , the maximum speed the car can have is (in km h - 1 )

Question

A car is moving on a circular level road of the radius of curvature 300 m . If the coefficient of friction is 0 . 3 and acceleration due to gravity is 10 m s - 2 , the maximum speed the car can have is (in km h - 1 ), 30 km h - 1, 81 km h - 1, 108 km h - 1, 162 km h - 1

MARKS App · Accepted Answer

r = 300 m μ = 0 . 3 g = 1 0 m s - 2 v max = μ rg f s ≤ f s ( m a x ) m v 2 r ≤ μ m g v 2 ≤ μ r g v ≤ μ r g v m a x = μ r g = 0 . 3 3 0 0 1 0 = 3 0 m s - 1 = 108 km h - 1

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