Pumping rubber

One can work out by either lifting weights or using a tension band, which is like a big rubber band. If we model the rubber band as a big spring with spring constant \(400~\mbox{N/m}\), how far in meters must I stretch the the band so it applies a force equivalent to the gravitational force on a \(10~\mbox{kg}\) weight?

Details and assumptions

  • The acceleration of gravity is \(-9.8~\mbox{m/s}^2\).
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