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You are Up in the gym; working on your fitness. In each hand you hold _ 12- pound dumbbell (! Ib = 4.45 N) You perform a set of 20 "reps" (repetitions) wh...

Question

You are Up in the gym; working on your fitness. In each hand you hold _ 12- pound dumbbell (! Ib = 4.45 N) You perform a set of 20 "reps" (repetitions) which you lift the dumbbells simultaneously through a height h > 602€mA) Delermine the number of food ealories burnec with one set ( 1 Cal 4190 Joules). Assume mnetabolie elfieieney ol 22%0 (in oller Words. for every 100 J of energy melabolized by your body only 22 do uselil work such as lifting dumbbells and the rest IS Waste heat

You are Up in the gym; working on your fitness. In each hand you hold _ 12- pound dumbbell (! Ib = 4.45 N) You perform a set of 20 "reps" (repetitions) which you lift the dumbbells simultaneously through a height h > 602€m A) Delermine the number of food ealories burnec with one set ( 1 Cal 4190 Joules). Assume mnetabolie elfieieney ol 22%0 (in oller Words. for every 100 J of energy melabolized by your body only 22 do uselil work such as lifting dumbbells and the rest IS Waste heat"= "Meatballs and Mozzarella frozen Hot Poekete requires cooking in microwave at [00 Watts for 2 minutes How many sets; aS dlesenbed above_ would you have to perform order t0 metabolize an amount of energy equivalent the energy required to euok Hol Pocket?



Answers

You're at the gym, using a weight machine to do arm raises. Each raise lifts a 20.0-N weight $45 \mathrm{~cm} .$ How many raises must you do to work off $100 \mathrm{kcal} ?$ Is this a reasonable workout session? Assume $20 \%$ conversion of food energy to mechanical energy.

All right. This question is asking us about arm raises, and it takes a force of 20 Newton's, um, and you raise it 55 centimeters, so the distance is 55 centimeters, or zero and 55 hundreds meters. Now, of course, if you consider raising your arm up and back down again, the distance would actually be zero it because every time you go up and down again, up and down again, if you consider it that way, there's actually no work. However, if we just consider the raising part, um, then the work for one individual arm raise its force. Times Distance 20 Newton's times 55 hundreds of a meter and so model Playing those together. 20 Whoops, 20 times 55 hundred's. Um, gives us 11 jewels for a single raise. So how many raises must you do before you've expended 200 kill? Oh, calories. That's 200,000 calories of work. Well, we've got to convert that to Jewell, so I'm going to go to a conversion chart and look up calories to Jules. And there are 4184 jewels in a calorie. So one calorie Now that's a kill. Oh, calorie. All right. When? Kilocalories. So I'm going to change. Uh, erase. Here. I'm gonna change this to Kilocalories here. Works. Okay, so we have 200 kilocalories. One killer calorie is the same as 4100 84 jewels. So 200 times 4184 is 836,808 100 36 1008 100 jewels. So if I take that 836,000 800 jewels and I divide that by 11 Jules per lift Seems like an awful lot of lefts to me. 76 1000 lifts. So that's the answer to part A. Now, if your workout takes 1.0 minute, what is your average power output? So power is, and this is part B. Um, power is, um, work divided by time, so we know that we're going to put 1.0 minute. Well, that's 60 seconds. Gotta be careful. Use seconds. One minute is 60 seconds. And so our work, I believe we're assuming that our workouts actually did achieve 200 kilocalories. Um, energy s So we converted that, and we can see that that is 800 filled. 40. Kill it, Jules. So I'm gonna write 840. Kill it, Jules. Right there. And so I don't know that we're actually going to achieve these 76,000 lifts, but ah, all right. 840. Do you have in one minute? Divided by 60 seconds is 14 um, kilowatts, but I'd like to see somebody do 76,000 lifts in one minute.

Hi. Like even problem. We are at a gym which we are doing arm raises in each arm. Res No, wait which we have lived ISS when you knew them and the height of the rich it has to be lived. Is 55 centimeter or we can say is you know, flying by. I need a So in the first part of the problem, the work done on the energy consumed for each race is equal to force into distance. And the forces gravitational force, which is nothing but a way to go, Lord and the distances height. So it Consultant B 20 in 20.5 fight Jules, which we comes 11 Jews are. We can convert it into calories just by lighting it by poor blind money. Jules, four calories. This is a conversion factor. So this is the energy on June in each raise? No. The total energy. The total calories which we have to expect is given us 200 kilo calories. So don't do this much amount of work, how many reasons you need You have to find it. So the number of raises may become the total energy on June. It is for that local resort. 200 in 2000 calories, divided by energy on June in E trays, which is 11 by four point when it. So if we become 200 into 1000 into 4.1 it if you come up and divided by 11. So but total number phrases like amount to be 76 housing. This is the answer for the first part of the problem. No. In the second part, we have Go find the power for this workout. If it takes one minute, so power will be given by for each raise. It will be given by and are taken June or you need time on in each day's energy. Use 11 jewels. Business 11 by one minute you can see 60 second. So this power on June in one minute will come out to be 0.18 What? This is the answer for the second part of the problem. Thank you.

We have walked down equals the change in the gravitational potential. Energy, which is mg Dewie Mass is 5.5 kg gravity 9.8 m for a second squared does the Y is one maker, so that comes out to be 54. June required power will be 50 full. Jewell over 0.3 seconds equals 1 80 What now? Internal energy is 300 kiddo. Calorie times 4186 Jewell equals 1.26 terms tend to their six Jewell more or all right, So we have the number of times that the bar with has to be lifted will be given by get you internal divided by get the U G over Edda. So it again come upstairs 0.2 times Internet energies one foreign to six times 10 to the six Jews divided by Yugi is 54 jewels. So that comes out to be 4.7 time stand to the three times

So this problem were given That massive barbell different by bodybuilder is equal to 40 kg and tow. Hide with the barbell is lifted his 0.50 m. And if you see a human body 0.25 in the first part, we'll find the energy in lifting the barbell ones, which is what MGH research should. The values sm is 40 kg g is 9.8 m per second square and it is 0.50 m. When you saw this, we get energy used in lifting the barbell wants is a court of 196 years No in the second park, our key has the privilege do this 20 times, so burden in lifting the barbeque. One time he's got 20. Multiply Wife 196. Joel is a core to 3019. 20 years. As you know, the difference is equal to work. Then the output to it by input, which is in fourth chemical energy. So as if you c 0.25 and word in the 3920 job direct by chemical, energy or energy input required to do this exercise physical toe when we saw this, We get energy. Physical toe. 1 13,000 680 year old Is energy required by the body. Do this process The answer. The second part of the question. On the third part, we arguing that nature do not is equal to 400 calories, which can we cannot individual by multiplying this with 4.19 multiple Thank or three John in one country, which is good toe. 1676 Triple zero Joel. Yeah. Now the number of narcs quite to eat by the bodybuilder in lifting the Bible. 20 times physical, too. Intelligence Chief Directed by in a Jeff one Do Not 15680 Joel directed by 1676100 John, which is equal to 0.0 nine donuts, which is the answer of the third part of this question.


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