(III) An engineer is designing a spring to be placed at the bottom of an elevator shaft. If the elevator cable breaks when the elevator is at a height f> above the top of the spring, calculate the value that the spring constant k should have so that passengers undergo an acceleration of no more than 5.0 g when brought to rest. Let Mbe the total mass of the elevator and passengers.
Step 1 of 4:
Gravitational potential energy is the potential energy possessed by virtue of position.
m - the mass of the body,
g - the acceleration due to gravity
y - the height.
Potential energy of a spring is the energy stored due to change in the configuration.
k - the force constant
x - the compression in the spring.
Step 2 of 4 </p>
The next diagram shows a spring is placed at the bottom of the elevator shaft.