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A 360-lb gorilla climbs a tree to a height of 20 ft. Find the work done if the gorilla reaches that height in(a) 10 seconds (b) 5 seconds

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(a)$$W=7200 f t-l b$$(b)7200 feet $-$ pounds

Calculus 2 / BC

Chapter 6

Applications of Integration

Section 4

Work

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a three sixty pounds girl climbs the tree to ah, height of twenty feet. Find a worked out If the girl reaches that height in a ten seconds B five seconds. In order to do this problem, we need to recognize the components of it. First we see ah three sixty pound gorilla. So and we also see a twenty feet dese are da to information that contains numbers in them. So let's take a look at what they represent so well, we're looking for work. The basic work formula is work is equal to force times distance. Here our force is three sixty pound gorilla, so therefore it will be three sixty pounds. Our distance here is twenty feet. I know I need to combine these two together because I'm trying to had this three sixty pound gorilla to climb height of twenty feet. So Thies too quantity are related on or to get this work done. So therefore I multiply these two values together, which will give me seventeen, two hundred pound feet. And that will be our measurement. Ah, so well about what's the answer for Aidan? Well, if we look at our formula, work is you would have force times distance, and they don't really have anything to do with time. So therefore, for ten seconds, we will be doing seventy two hundred pound feet work and for five seconds will do the same amount of work as well. For those of you who might have taken physics, you guys should know that for work. It doesn't matter how many how long it take you to do a certain work. Ah, as long as you apply the same force for the same distance, your work will be the same regardless, if you take it for one second or you do it for, like, one hundred years. So there's your answer for both A and B. All right, so that will be your answer for both of them. If you have any questions, I don't forget to leave your comments below. Um, all right,

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