Suppose that an 1800kg car passes over a bump in aroadway that follows an arc of

Question

Suppose that an 1800kg car passes over a bump in aroadway that follows an arc of a circle 20.6m. 1. What force does the road exert on the car as the car passesthe highest point of the bump if the car travels at 28km/h 2. Wha if the maximum speed the car can hav?e without losingcontact with the road as it passes this highest point? Suppose that an 1800kg car passes over a bump in aroadway that follows an arc of a circle 20.6m. 1. What force does the road exert on the car as the car passesthe highest point of the bump if the car travels at 28km/h 2. Wha if the maximum speed the car can hav?e without losingcontact with the road as it passes this highest point?

Explanation / Answer

Based on newton's laws, we have mg-N= (mv2) / R 28.8 km/ h = 7.78 m /s N = mg - (mv2) / R N = (1800kg)[9.8 - (7.78^2)/20.6m  ] N = 12,351 n N must be equal to 0, for part max speed with no slippage, andlowest speed would be when N = mg, for a speed of just 0. mg-0 = (mv^2)/R g = (v^2)/R v = 14.21 m/s, about 51.2 km/hour

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