Question

The force exerted by a rubber band is given approximately by $$F=F_{0}\left[\frac{L_{0}-x}{L_{0}}-\frac{L_{0}^{2}}{\left(L_{0}+x\right)^{2}}\right]$$ where $L_{0}$ is the unstretched length, $x$ is the stretch, and $F_{0}$ is a constant. Find the work needed to stretch the rubber band a distance $x$

          The force exerted by a rubber band is given approximately by $$F=F_{0}\left[\frac{L_{0}-x}{L_{0}}-\frac{L_{0}^{2}}{\left(L_{0}+x\right)^{2}}\right]$$ where $L_{0}$ is the unstretched length, $x$ is the stretch, and $F_{0}$ is a constant. Find the work needed to stretch the rubber band a distance $x$

Added by Diego P.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Timothy James

06/30/2022

Step 1

We need to find the work done to stretch a rubber band by a distance $ x $. The force exerted by the rubber band is given by the function: \[ F = F_{0}\left[\frac{L_{0}-x}{L_{0}}-\frac{L_{0}^{2}}{\left(L_{0}+x\right)^{2}}\right] \] where $ L_{0} $ is the Show more…

Show all steps

Thanks for your feedback!

The force exerted by a rubber band is given approximately by $$F=F_{0}\left[\frac{L_{0}-x}{L_{0}}-\frac{L_{0}^{2}}{\left(L_{0}+x\right)^{2}}\right]$$ where $L_{0}$ is the unstretched length, $x$ is the stretch, and $F_{0}$ is a constant. Find the work needed to stretch the rubber band a distance $x$