This question is about a collision of two spheres. He still one s and 10.5 kg And the initial velocity, It's event to be to I minus gj last k. You just put second and this against your ass mess 1 25 kg. Their initial velocity is given to be minus. I class to Jane minus cheeky you just for a second. Okay, then. That's a, um even that The final velocity off and one yes, minus I class she chain minus its k. He wants to find me to f. Okay, so to do this will be using conservation of momentum. So we get this and one b one I us em to me too. I it goes to and one you want f pass and to be two f So putting in the numbers, I'm going to use the column. Former practice tu minus tree one. This is for everyone and for him to be, too. I This is what we have. And then and one B one f plus 1.5. Me too. Okay, so, uh, rearrange. So you generate the right hand side of the left hand side. Done bringing in uh, um, turns from there. Right hand site. You can see that this throughout the course of zero, which means that you two f yes. Zero. Yeah. And then, um, you look at, um, compare kinetic energy. So Okay, candy energies before and after collision. Okay, So can the energy before is ah, half everyone and one we want I square plus have them to me to I square everything, putting in the numbers I am. One is your five and completing everyone I square will be something that squares off the components. Yes, if you repeat a step for, uh and to And then you calculate this any shaking adding energy to be 14 juice and then the final looking at the energy. Uh, it's just a and one B one f skway happened when we went ex quay. So Okay, so this is 18.5 shoes. So we have k I, uh, less than chaos. So which means that a collision in this case with me, uh, elastic. Yeah, it's not completely. It's not perfectly any lasting, but it's just last. Okay, so this is, uh, the answer for a Yeah, that's right. Stiff then for parts B. So you assume that, uh, final velocity off and one is given to be, uh, my name is your 0.25 I class to your point. Third time J minus two. Okay, he does put second. Then we wants to find me to wrap a gain. So, uh, we just we just repeat from this equation. So this is the part that needs to be changed. So we have 1.5 me to f is equal to my name is 0.5 1.5, minus hole, minus five. This is anyone and everyone else is even in such. Okay, this is found to be is your 0.375 1.1 to 5 my ministry. And then after the writing, 1.5 both sides, he gets me to have to be. Ah, what is your 0.25 I see Appointed by J and minus two. Okay. And if this one Yeah. So, uh, the collision is affect me in lasting. Okay? Because the both spheres have the same velocity final velocity after the collision. Okay, so the answer for that's B. All right, so we move on to proxy. Okay? Now, um, given that b you want f is minus. I plus d j has a k you just for a second. Uh, you want to find me to African? Okay. So to do this on the conservation of momentum. Okay, so we have, um, 1.5 me to f eyes equal to minus 51.5 or my ass for I guess, your 0.5. When it's one tree A, it is equal to 00 Uh, minus school. My name? 0.5 a, um, back there. Okay. So, me too. F you think we're too 1/1 45 minus four, plus your 40.5 e. Okay, you don't split second. Okay? Okay. Then you need another equation because the collision is, uh, you lasting. So the we have conservation off connecting energy. Okay, so that means, um huh. And one, we want every square that's half them to you to ask. Where is a photo? 14 Jews. It is the number that we are thing completed. Impress me. So putting in the numbers or, uh, finally getting energies. So So this is the final kinetic energy for M one. And then for him to Okay, So this is the equation for the conservation of kinetic energy. Ke So, uh, so continue to do the math. Um okay, so continue. Yeah. So when I do this, I'm not declining three throughout the whole equation. So this is the question I get and then simplify. You get this quite reading Christian to a squared. Plus, it's a minus. 37 goes to zero. So here you used the quadratic formula English to, uh, minus eight. Last minus, uh, be square rightness. Who I a see? Square it and then divide by four. So from here, get a go, Sue 2.74 oh, minus 6.74 Able, our values are possible. So we can completely finally velocity fall m two for each case for any goes to 2.74 you have me to have to be Ah, minus 3.58 Okay, you just go second. And then for a he goes to minus 6.7 full. You have you to half to be minus your point for one night. Okay? You just put thinking okay, So that two answers for this question. So this is one of the 1st 1 of the possible answer. The second possible answer is given Estes. So that's all for this question.