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There is a spring launched toy cannon. This spring is founc to exert a force according to F s = - k ( x )

There is a spring launched toy cannon. This spring is founc to exert a force according to

F_{s} = - k (x)^{5} 5,

with

k = 1 \frac{N}{m} m^{5} 5 .

The cannon launches cannonballs with masses of up to

100

grams and can compress up to

10 m m .

Graph Potential energy vs distanver over the relevant range for the cannon.

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