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Problem 63 Hard Difficulty

An electric eel generates electric currents through its highly specialized Hunter’s organ, in which thousands of disk-shaped cells called electrocytes are lined up in series, very much in the same way batteries are lined up inside a flashlight. When activated, each electrocyte can maintain a potential difference of about 150 $\mathrm{mV}$ at a current of 1.0 $\mathrm{A}$ for about 2.0 $\mathrm{ms}$ . Suppose a grown electric eel has $4.0 \times 10^{3}$ electrocytes and can
deliver up to $3.00 \times 10^{2}$ shocks in rapid series over about 1.0 $\mathrm{s}$ (a) What maximum electrical power can an electric eel gener- ate? (b) Approximately how much energy does it release in one shock? (c) How high would a mass of 1.0 kg have to be lifted so that its gravitational potential energy equals the energy released in $3.00 \times 10^{2}$ such shocks?

Answer

a. 600 \mathrm{W}
b. 1.2 \mathrm{J}
c. 37 \mathrm{m}

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Video Transcript

the first part of this question, we are going to kill Claire. The maximum electrical power. How which and it can generate. We called the body has to be in order to complete this power. Let me ride the potential difference that is, we d equals two. And we were this. Anything about cells and with the potential difference which is generated by each off. So setting the wells into this equation we will get read equals to 4.0, multiplied by tennis part plus three in tow. 150 Multiply witness for minus three bolt, which is it? Close to 6.0. Multiply way. Tell us part two. No, the boat is defined Is people's too witty multiplied by I got scolded Equation one. Now, by sitting the values into the squadron, we can right people's toe 6.0 multiplied by Dennis Part toe hold in tow 1.0. I'm bad. So this will give us p equals two 6.0 multiplied by 10 is about to what? Knowing what be We have to kill Claire. The energy released by the week You in one stroke, That is he. Let's write the formula to kill Curtis. Our energy as equals two be multiplied by two. Let's call it equation, too. Now sitting the wells into the square and we will get equals to 6.0. Multiply our tennis far, too. What in tow? 2.0 kilometers. Far minus three seconds. So this will give us equals two 1.2 jobs in party. We have to find the height at which a mess could be lifted with this amount of energy. So we need to find it. Let's write the formula to kill played the same height. So by using the energy conservation, what we can right MGs equals two. And that's what this anuses, the number of shocks most holding this equation for which we can right that you close to And that's he you wanted by M G. Let's call it a question. Three. Not by sitting the values into this Eric Williams. We can write that you close to 3.1 to play tennis part two in tow, 1.2 Joe wanted by 1.0 catchy into 9.80 meters per second squared eso This would give us the well you for ages that you quote too. 37. Me too. So end of the question

Other Schools
Top Physics 102 Electricity and Magnetism Educators
Elyse G.

Cornell University

Andy C.

University of Michigan - Ann Arbor

Aspen F.

University of Sheffield

Jared E.

University of Winnipeg

Physics 102 Electricity and Magnetism Bootcamp

Lectures

Join Bootcamp