# physics 180A

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A large spring is placed at the bottom of an elevator shaft to minimize the impact in case the elevator cable breaks. A loaded car has mass 480kg, and its maximum height above the spring is 11.8m. In order to minimize the shock, the maximum acceleration of the car after hitting the spring is 4g. Find the spring constant, k.

• physics 180A -

F = kx
ma = kx
480kg * (4*9.81) = k * 11.8m
k = 1596.20339

• physics 180A -

2990 N/m

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