This question is about an elevator system. So there's an elevator box, it Harrick E g s. Then inside the box, it can fit and number of people. And the people is, uh, we d k g each okay, and then a za counterweight off 150 kg. And then there's also, uh, putting off mass. 280 k g radio, 0.7 m. And so, um, there are six parts in this question and in part A. So I put in this elevator system, Uh, the way that all over the story is by using, uh, energy conservation measure so it disconnect the model before it reaches the the flaw desired. Okay, so part A want to determine the distance d off the car that cost upwards as a function off em using energy conservation. All right. So he so impressed a, um using before that, I am going to call, uh, and being a star mass off the box elevator box, which is 100 kg. Then my ass off the people, which is 80 k g then the mass of the party. Trying educate g. The man's off. The counterweight is, uh, 150 kg. Then we have our previous off. The pulley is 0.7 years. It's okay. I think that's about it. Right. So we'll be using conservation of energy, uh, to suffer party. Okay. On the system. Uh huh. Consisting the box the people and counterweight. Mhm. Corinne I know of. Okay. Okay, so there is no external force acting on the system, So the energy told energy of the system is conserved, so Okay, I plus you, I Is it go to K F five direction. Okay, So the initial kinetic So initially, the council, the the box class, the number of people. Um, right, Yeah. Come to the square, plus, uh, kinetic energy off the pulley, which is Iomega square, half Iomega square, and then the kinetic energy of the counterweight, then see square. Okay, so this is equal to chaos. Is zero class all right? You f eso Suppose this is the eso I have said k u i to be zero in this configuration. So you have off the box is moving up, so it gains. Um, gravitational potential energy. And then the counterweight is moving down with, so it's going thio reduce. Uh, huh? The gravitational potential energy is going to decrease. So you put the minus sign. Okay. So you can start. Mm. Keeping the terms can be So we have half and B plus an M plus N c he square us have. So the police A disk So have more square. Oh, my God. Square is equal to alright. G d and B class and m minus N c. Okay, Okay. So going to get half embi plus and, um plus, uh, and see plus half m b m uh, each way, teacher, uh, he goes to be our times Omega. Okay. Chiti and B plus and m my name's EMC. Okay, you can start putting in the numbers. Um, so and b iss Ah, it's 100 kg. And then and then yes. The mass of the people is 80. Okay, then multiplied by m. M. C is 280 counterweight. It's 950. And then, uh, counterweight is to our 80. He goes toe 98 cool. And B is, uh, 800 class baby and minus 950. Okay, so Oh, yes, The speed. Yeah. Initial speed is given to be tree, so this is going to be tree square. Okay, so we are going to have, um, nine divided by 1926. So yeah. Good thing 18 90 Pass a d n. Is he going to de times? Uh, maybe end minus 150. Okay, so this is equal to, uh, 19 by 19.6 1890 as a d n divide by maybe. And my next 150 king. Yeah, you can simplify. Can calculate what now I would. 19.6 is, but I'm not going to do that. So this is the answer for part A To then parts be, um, evaluate the distance for Be for anniversary too. Okay. When any cause to to Andi is equal to instead. 9/19 0.6 1890 That's 160 If I buy 160 minus 150 Uh huh. How create you get then. 4.1 m. So this is the answer for part B and then in policy happens when End goes to child eighties. Go to nine or 19. 6 1890 plus Uh huh. 960 if I buy 960 minus 150 Okay, so this is equal to 1.62 Yes. Mhm. Okay, then. Parts. The weapons went in with zero case of the years ago. 29 19.6, um, 1890 give up by negative. 115. This is equal to negative. 5.79 m. Okay. Okay, So this is answer for party, then press E. Who? What individual values? Off end. That's the expression In part, A apply so applies for, uh, and is greater or equal to two in seven parts in this question. Okay. Sorry about that. Hey, then process to explain answer toe e. So for an equal zero and one, get the mass off the elevator. It's less than a counterweight. Mhm. So the car exaggerate upward when release our release. Okay. Okay. Then patchy. Um, suppose an infinite number of people could fit on the elevator. What's the value of D? So this is saying that you're approximately let's and to approach infinity. Okay, so the is equal to 91 19.6. Um, so one each. Yeah. 1890 class. ADM you. Bye bye. E and minus 15 are going to right and no in the new Morita and the denominator. Okay, so you look like this. Yeah. Mhm. Alright. So and then as you take into infinity, um, then you get 9/19 0.6 80 derived by 80. Okay? And then you have our what? Yeah. Yeah. So then you get, uh, 0.459 m. Okay. Yeah, that's correct. Yeah. Okay, King. So and that's the That's all for this question and