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Catching wave the surfer?78 kg surfer starts with speed of 1.3 Ms drops through height of 2.05and ends with speed of 8.2 mfs. How much nonconservative work was done...

Question

Catching wave the surfer?78 kg surfer starts with speed of 1.3 Ms drops through height of 2.05and ends with speed of 8.2 mfs. How much nonconservative work was done on(Did the wave add to or remove from the mechanical energythe surfer?)

Catching wave the surfer? 78 kg surfer starts with speed of 1.3 Ms drops through height of 2.05 and ends with speed of 8.2 mfs. How much nonconservative work was done on (Did the wave add to or remove from the mechanical energy the surfer?)



Answers

Catching a wave, a 77 -kg surfer starts with a speed of 1.3 $\mathrm{m} / \mathrm{s},$ drops through a height of $1.65 \mathrm{m},$ and ends with a speed of 8.2 $\mathrm{m} / \mathrm{s}$. How much nonconservative work was done on the surfer?

And this question. We're told that a surfer with a massive seven point rather 77 kilograms, with an initial velocity of 1.3 meters per second falls the height of 1.65 meters and has a final velocity after that fall of 8.2 meters per second, whereas to calculate how much non conservative work is done in this process. So first we need to know that non conservative work or I'll call it W and see is equal to the change or Delta e the change in energy between the initial and the final states of the Surfer. And that's equal to E f for the final energy minus e i. Now, if we break that down each energy both final and initial is, um, kinetic energy plus gravitational potential energy. So 1/2 M v i v f rather um squared plus m g h f on Ben. The initial energy is 1/2 Um, the initial squared minus Uh um um G h initial. Now we can factor up Thea Mass and we can also group rather than grouping Thies bye whether their final or initial weaken group wth e kinetic energy terms ends the gravitational potential energy terms together. So I'm gonna do both of those steps in one. So 1/2 certain rather factoring m times in the brackets, we have 1/2 and then grouping the kinetic energies together, um v f squared minus v. I squared, um, and then the gravitational terms we have Plus, she h f minus h i Now we're actually given the change in height. Delta H ends. We need to remember that when you ever whenever you see a delta, that's the change in something. So, for a change in height that's equal to a Jeff the final height minus h I the initial height, Um, so we can actually plug all of these. Constance, um, into this equation so equals, ah, 77 kilograms times. 1/2 VF is, uh, 8.2 meters per second squared minus 1.3 meters per second. And that's also squared. Um, plus 9.8 is acceleration due to gravity, which is G immunities per second squared times. Delta H is one 1.65 meters. Um, so, uh, plugging that all into a calculator, Um, and evaluating for sorry. Rather, I don't know why I called this WF Rather, it should be W N C. For the non conservative work done and plugging this whole equation into a calculator. He finds that the known conservative work done 1300 jewels or in scientific notation. This is 1.3 times 10 to the three jewels or 1.3. Kill it, Jules.

Mhm And discussion the concept probably the work mid term and from the recommended home uh network and there's a CUBA into the changing connect technology and the network Minister worked in with the gravity blaster weapon by the man convicted force. And that is the question half um into describe the final speed minus the square root of emissions. Okay. Now voting by the gravity's empty into the changing height. It is uh thanks the initial height minus of fire. Right? And plus the work done by the non conservative force that is equivalent to half into anarchy. They finally squared minus week initiates the world come by the non conservative forces. Uh half Emma squad up the final speed Minister squad up the initial speed -2. uh 2 key into the initial hike. Minister, if we substitute the values working with the non conservative forces, half of a massive, massive the sufferers. The advantage into the final speed. Have fun in this breed is uh 9.5 we test one second square Afghanistan National spirit that is 1.4 m/s squared minus fuji and jeez 9.8. Let's break it down -209.8. We just also can square into the initial height. That is Initial. Like myself. I heard that is 2.7 m. The change in height. Okay, sort of work done by the non conservative force is uh, 1743 tubes are in two significant figures that welcome for the non Conservative forces one point zero and 2 tempest three pete.

Okay. I want to say that this recording is working. So what do we have? You? We have a server, uh, catching a wave. So here's a wave and the top right there. She has some speed. I'm gonna call it initial speed 1.4 meters per second, and then she moves down the speed and she has some final speed. Ah, 9.5 meters per second. Okay, um, and it says that she drops down. Ah, height of 2.7 meters. Okay. Uh oh. When we have a mass, always gonna write down over known 59 kilograms. All right, so she has some energy up here initially. And then she has some energy appear. And there is some work done by the wave force in the process of moving her down here so we can do some energy conservation. You say that the initial energy plus the work done, by the way, equals her final energy. Okay. What kind of initially? Well, she's moving. She has speed. So she initially has kinetic energy. So we're gonna give her someone half m v squared. Says kinetic energy. Angie initially has a height. She's up there up eye upon the wave. So she's got some gravitational potential energy. M g h not plus the work done. By the way, what kind of energy does she have it? The bottom while she's still moving. So she has kinetic energy. One have the final squared we're not giving Were ah height down there because or we're not getting her gravitational potential energy because we said the 2.7 meters at the top of the way. So we're just gonna call the bottom of the waves. Look around. Okay, so that way, she has no gravitation potential energy at the bottom. Okay, Now we could do is plug in some numbers, So we got 1/2 times 59 kilograms times one point for squared, plus 59 times. I always tell my students Good. Good enough to use 10 meters per second squared. Except in labs. Um, but for rooms like this, 10 or 9.8, not really big difference. Um, have a gin initial. Her initial height is 2.7 meters. Plus. Worked on by the wave your gun around one. Half times. 59 times, 9.5 square. Okay, now we do some calculator, arithmetic, Magic and we get about 1000 tools. Corbett That is how much work is done by the wave, by the way.


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