A Formula-1 car encounters a hump which has a circular shape with smooth transit

Question

A Formula-1 car encounters a hump which has a circular shape with smooth transitions at either end. (a) What speed vB will cause the car to lose contact with the road at the topmost point B? (b) For a speed vA = 171 km/h, what is the normal force exerted by the road on the 790-kg car as it passes point A?

A Formula-1 car encounters a hump which has a circular shape with smooth transitions at either end. (a) What speed vB will cause the car to lose contact with the road at the topmost point B? (b) For a speed vA = 171 km/h, what is the normal force exerted by the road on the 790-kg car as it passes point A?

Explanation / Answer

speed here can be calulated by using v^2 = rg

vf^2 = 13.8 * 9.8

v = 11.62 m/s

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Vf = 11.62 + (171*5/18)

Vf = 59.12 m/s

Vf = 212.832 kmph

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