Disturbed by speeding cars outside his workplace, Nobel laureate Arthur Holly Co

Question

Disturbed by speeding cars outside his workplace, Nobel laureate Arthur Holly Compton designed a speed bump (called the "Holly hump") and had it installed. Suppose a 1 800-kg car passes over a hump in a roadway that follows the arc of a circle of radius 22.0 m as in the figure below (a) If the car travels at 24.0 km/h what force does the road exert on the car as the car passes the highest point of the hump? magnitude directionSelect (b) What is the maximum speed the car can have without losing contact with the road as it passes this highest point? km/h

Explanation / Answer

At the highest point ,

F = mg + mv^2/r = 800* (9.8+ 6.67^2/22 ) = 9464.16 N (ans)

Direction upward. (ans)

Now to not leave the contact

N = mg - mv^2/r >= 0

So,

Vmax =sqrt (rg) = sqrt(22*9.81) = 14.69 m/sec (ans)

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