In the figure, a stuntman drives a car (without negative lift) over the top of a

Question

In the figure, a stuntman drives a car (without negative lift) over the top of a hill, the cross section of which can be approximated by a circle of radius R = 293 m. What is the greatest speed at which he can drive without the car leaving the road at the top of the hill?

In the figure, a stuntman drives a car (without negative lift) over the top of a hill, the cross section of which can be approximated by a circle of radius R = 293 m. What is the greatest speed at which he can drive without the car leaving the road at the top of the hill?

Explanation / Answer

at top of the hill
Normal FOrce = N = mg - mv^2/R

for greatest speed , N = 0

mg - mv^2/R = 0
mg = mv^2/R
v^2 = Rg

speed = v = (Rg)^0.5 = 53.61277832755919 m/s

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