The device can be modeled as a spring below the elevator such that if the cable holding the elevator car breaks, the spring will slow down and stop the car.

Your design needs to meet the following conditions:

The elevator car has a mass m. = 560 kg

L . The elevator car starts at a height y; = 3.46 m above the top of the (uncompressed) spring. . The elevator car is initially moving upwards with a velocity v; = 4.26 m/s

• The elevator car needs to be stopped a distance y = 2.06 m below the original position of the end of the spring.
• You can neglect friction and air drag in your design. (Of course, you should know how to do this problem if there is friction.)

What is the spring constant needed for the spring that will meet the design?

Give your answer in N/m to at least three significant digits, to avoid being counted wrong due to rounding. Do not include units with your answer.