Four people, each with a mass of 71.7 kg, are in a car with a mass of 1130 kg. A

Question

Four people, each with a mass of 71.7 kg, are in a car with a mass of 1130 kg. An earthquake strikes. The driver manages to pull of the road and stop, as the vertical oscillations of the ground surface make the car bounce up and down on its suspension springs. When the frequency of the shaking is 1.50 Hz, the car exhibits a maximum amplitude of vibration. The earthquake ends and the four people leave the car as fast as they can. By what distance does the car's undamaged suspension lift the car's body as the people get out?

Explanation / Answer

mass of each people m = 71.7 kgm

mass of the car m2 = 1130 kg

frequency f = 1.5 Hz

frequency f = 1/2sqrt(k/m)

k = f^2(4^2)(m )

   = (1.5)^2*(4)*(3.14)^2(1130)

   = 1002772

from the Newtons second law of motion

ma = -kx^2

x = sqrt(ma/k)

    = 0.1 m

  

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