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**[SOLVED] Spring Hooke's law**

## Homework Statement

The innerspring mattress is held up by 23 vertical springs, each having a spring constant of 5000N/m. A 44 kg person jumps from a 1.94m platform onto the innersprings. Assume the springs were initially unstretched and that they stretch equally. Determine the Stretch of each of the springs.

## The Attempt at a Solution

I use the equation mgh=(44)(9.8)(1.94) to find the potential energy. To find the stretch displacement, is it correct if I use Us=(1/2)kx^2 and substitute Us=mgh, k=5000 as given, and find x is the stretch of each springs?