Suppose that a 1800 kg car passes over a bump in a roadwaythat follows the arc o

Question

Suppose that a 1800 kg car passes over a bump in a roadwaythat follows the arc of a circle of radius 18.6 m as in the figure below. a. What force does the road exert on the car as the car passesthe highest point of the bump if the car travels at 30.5 km/h? b.  What is the maximum speed the car can havewithout losing contact with the road as it passes this highestpoint? Suppose that a 1800 kg car passes over a bump in a roadwaythat follows the arc of a circle of radius 18.6 m as in the figure below. a. What force does the road exert on the car as the car passesthe highest point of the bump if the car travels at 30.5 km/h? b.  What is the maximum speed the car can havewithout losing contact with the road as it passes this highestpoint?

Explanation / Answer

Let the force exerted by the road be N then, N-mg=mv2/r v=30.5*5/18=8.4722m/s N-1800*9.8=1800*8.47222/18.6 N=24586.31N The maximum speed of the car as mg=mv2/r v=rg v=18.6*9.8 v=13.5011m/s Hence we get by it. "Hope this helps!Best of luck for the rest of yourcoursework."

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