a-160-lb-person-compresses-a-bathroom-scale-0080-in-if-the-scale-obeys-hookes-law-how-much-work-is-2

Name: a 160 lb person compresses a bathroom scale 0080 in if the scale obeys hookes law how much work is 2
Uploaded: 2020-09-10
Duration: 1 min 1 s
Channel: Numerade
Description: A 160 -lb person compresses a bathroom scale 0.080 in. If the scale obeys Hooke's law, how much work is done compressing the scale if a 180 -lb person stands on it?

Question

A 160 -lb person compresses a bathroom scale 0.080 in. If the scale obeys Hooke's law, how much work is done compressing the scale if a 180 -lb person stands on it?

R M · Accepted Answer

claim number six F is equal to K times need, which is equal to 1 15. Uh, so is 1/16 times d S K is equal to 1/16 so the is equal to 2400 so F is equal to 2000 2400 x s o f off 1/8 is equal to 2400 times one over eight, which is equal toe 300 and bonds eso the weight off 1/8, which is equal to integration from 0 to 1 over eight off 2400 X, which is equal toe 1200 x squared from 0 to 1 over eight so obsessed the Constitution&#x27;s equal to 18.75 inch bear pounds.

Ahmad Reda · Answer

to compress a skill distance equals 1/16 inch. It needs a force equals one 150 bones. It needs a person that waste 1 50 down. To compress this distance, we won&#x27;t to calculate the weight of the person that compresses a skill distance one and hope one over it. Inst Then what is the force We knew that the skill obeys absolute Then first we want to get the constant over this brink. Assuming the skill behaves like a spring. We knew that if equals P eggs and from the given we know that $150 compresses the skill by distance. 1/16 INGE this mixed K equals 100 15. Multiple oId boy 16 equals 27 on 400 bone. But in then and thanks equals one over it inch. We can substitute here in hooks loop, Then the weight of the person&#x27;s equals that scale constant or the spring constant. Monta Buoyed by X. We got okay. Equal 400 to 7 and 400 Tabloid by X, which equals 300 bones. And for the second book, we want to get the work done by compressing the skill by this distance, we know that the work equals the integrity. Oh, Vicks on tabloid boy e X who integrate from the initial case where there is no compression or stretching at X equals zero Do the final state where the scale is compressed his interests and we know that every mix equals Okay, x As we said before, using hooks a little the integrity equals you know, the one from 0 to 1 over it off the X deployed by the X. You know that equals $2400 per inch The blade by the integral off exit E X, which is X squared, divided by two and me substitute from zoo Don&#x27;t one over it. Then the integral equals Markab Lloyd boy needs of institute by the tutors the first step by substituting boy substituting exploit one over it. One over it squeal divided by total minus zero squared vibrato, which is you. This makes work equals If you 0.75 bone inch

Carlos Pinilla · Answer

So we have one personal 100 bones, um, spares on puts their puts down his kill. But wait balance. My wants extend orphanage. So the idea that force well, verse is gonna be the constant All this screaming them&#x27;s wants experienced 60 damage Shearing off the violence which got person is measuring It&#x27;s Wade coming with us. Is this true? So now if someone some weight it&#x27;s called that way No, What&#x27;s there? But this scale down by 1/8 of an inch. Uh, so what is it? What is this person&#x27;s weight? So what you are asking? What is it? Person&#x27;s weight? Your goods down 1/8 of an inch. So well, the bristles Wait, then wanted times 18 inch. That was a constant. Seems constant should be equal to despair is awake. So will you go here and simplify what these cost on K is gonna be equal to? 50 Will apply it by 16 from both sides. You get rid of that so that okay, it&#x27;s gonna be 1 15 16 I&#x27;m 16 so that his weight spares those ladies my name. That&#x27;s well, beefy terms 16. So well, these councils seen these eight times two. So that councils that gave me hope. Personals. Wait. He&#x27;s, uh, well, 100 50 times I&#x27;m still sold 300 bones. So, uh, that&#x27;s the person&#x27;s weight. And so the other I think that you might ask yourself this on which work. So these ways for is always a way, which I love you for work. He&#x27;s dead. Which work to put down there? Two shrink No. Two to stretch there this spring. Bite by one money. Well, we owe. That&#x27;s right. You research the stream spring this brain money. Uh, so, as you know, leave me. They&#x27;re small. Work is before ours. Terms. Yes. So I&#x27;m getting into 2 1/8 is gonna be in general from zero up to ornate off the fours, which is the constant off the screen. Them six ni exe. So I go in the singer. Oh, well, uh, because I&#x27;m gonna be taken out the anti dirty for exes. Exit squirt house. Wow. So that we have your constant Well, we have here that constant, please. One if he thanks. 16. You have a lot of times. One e. It&#x27;s a word. Games one house. So 16 times One, huh? Goto a to extremes. You will go anytime soon. Around two castles gives us this part. Here will be a Pam&#x27;s one Heat squared. The council&#x27;s want both wanted. And this would be for two, 150 160 times. Anybody like it&#x27;s gonna be well, you see, Very, like eight. Which is, uh, roughly. Oh, uh, it&#x27;s not broken is exactly. It&#x27;s exactly, uh, 18 point 75 bones Bridge. So, uh, you&#x27;re measuring. You&#x27;re forcing bones. So the unit so war will be bones. Maturity is you. Oh, so that the units for this whole thing would be bones? No. From singe a bomb bridge. Where are bone? Damn cinch? No.

Yuou Sun · Answer

paper. Eight. You can use a personal Here&#x27;s AB. We want K and here&#x27;s axe. Right, So 100 that is equal to pay times on over 16. It&#x27;s okay. Is Ah so that 400 right? Here&#x27;s okay. So how much does someone who compressed this girl on the rate My nor 1/2. It&#x27;s because too Hey, times when you were eight. So it&#x27;s just 300 right? Here&#x27;s another one here. Is that, uh, our right? Oh my. For peacetime, you can use the W is equal to seem to grow from 0 to 1. Number eight after the axe half is just k x right just k x the X that is equal to one over two times K times, Lenore 64. If you have a calculator, you can compute that. That&#x27;s people to 18 point 75

Adnan Gill · Answer

so, according to Hook&#x27;s law, F is equal to K X, and we are told that £5 of force compresses the spring by three inches. So K is equal to 5/3 pounds for inch. And then therefore we can say force is equal to fight over three times X work is equal to the integral FDX, and the limits off the integration would be from 0 to 7. So work is equal to any girl from 0 to 7. Find over three x dx and that would be equal. Do find over six x squared with limits from 0 to 7. So that would be filed over six times 49 months. Zero. And that gives me work is equal to 40 like eight h part so dusty answer to their questions.

Problem

A force $F$ of $25 \mathrm{N}$ on the spring in t…

Problem 5 Easy Difficulty

A 160 -lb person compresses a bathroom scale 0.080 in. If the scale obeys Hooke's law, how much work is done compressing the scale if a 180 -lb person stands on it?

Answer

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