Driving in your car with a constant speed of 12 m/s, you encounter a bump in the

Question

Driving in your car with a constant speed of 12 m/s, you encounter a bump in the road that has a circular cross section. If the radius of curvature of the bump is 35 m, find the apparent weight of a 61-kg person in your car as you pass over the bump. Driving in your car with a constant speed of 12 m/s, you encounter a bump in the road that has a circular cross section. If the radius of curvature of the bump is 35 m, find the apparent weight of a 61-kg person in your car as you pass over the bump.

Explanation / Answer

apply net accleration act on the body

a   = g-(v^2/r)

where a is accleration

g is accleration due to gravity

v is speed = 12 m/s

r is radius = 35 m

so

a = 9.81-(12*12/35)

a = 5.69 m/s^2

so apparent weight W = ma

W = 61 * 5.69

W = 347.09 Newtons

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