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A 110-g arrow is shot vertically from a bow which has been drawn 71 cm before...

A 110-g arrow is shot vertically from a bow which has been drawn 71 cm before shooting.
The arrow reaches a maximum height of 98 m.
What's the effective spring constant of the bow? k = ___

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Answer #1

Potential elastic energy=potential gravitational energy

\frac{kx^{2}}{2}=mgh\Rightarrow k=\frac{2mgh}{x^{2}}\approx419.14\: N/m

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