An engineer is designing a spring to be placed at the bottom of an elevator shaft. If the elevator accidentally breaks at a height 5 meters above the top of the spring, calculate the value that the spring constant K should have so that the passengers undergo an acceleration of no more than 5g. The total mass of the elevator and passengers is 75 kg.
g=9.8 m/s/s
The units of K are in N/m
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mg(h+x)=0.5 k x^2 k(x)=m(5g) solve for k