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You want to launch a stone using the elastic band of slingshot. The force that the elastic band applies to an object is given by F=ax4, where a=45 N/m4 and x is the displacement of the elastic band from its equilibrium position. Furthermore, F and x point in the opposite directions. You load the slingshot with the stone and pull back on the stone parallel to the ground, stretching the elastic band 20 cm. How much work do you do on the stone-elastic band system?

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