Try the fastest way to create flashcards
Question

# 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

Verified
Step 1
1 of 2

Generally, 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*}

## Recommended textbook solutions

#### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

4th EditionISBN: 9780133942651 (8 more)Randall D. Knight
3,508 solutions

#### Physics

5th EditionISBN: 9780321976444James S. Walker
5,618 solutions

#### Mathematical Methods in the Physical Sciences

3rd EditionISBN: 9780471198260 (1 more)Mary L. Boas
3,355 solutions

#### Fundamentals of Physics

10th EditionISBN: 9781118230718 (3 more)David Halliday, Jearl Walker, Robert Resnick
8,971 solutions