## Related questions with answers

A peacock mantis shrimp smashes its prey with a hammer-like appendage by storing energy in a springlike section of exoskeleton on its appendage. The spring has a force constant of $5.9 \times 10^4 \mathrm{~N} / \mathrm{m}$. What power does the shrimp generate if it unleashes the energy in $0.0018$ s? (The power per mass of the shrimp appendage is more than 20 times greater than that generated by muscle alone, showcasing the shrimp's ability to harness the potential energy of its spring.)

Solution

VerifiedGenerally, expression for calculating generated power P is

$\begin{align*} P &= \frac{ W }{ t }, \tag{1} \end{align*}$

where W is work done and t is time in which work W was done. Because of the work-energy theorem we know that work done is exactly energy stored in "spring", so we can calculate generated power as

$\begin{align*} P &= \frac{ 0.0103 \: \mathrm{J} }{ 0.0018 \: \mathrm{s} } \\ P &= \boxed{ 5.72 \: \mathrm{W} }. \end{align*}$

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