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(I) A 110-kg tackler moving at 2.5 ms meets head-on (and holds on to) an 82-kg halfback moving at 5.0 m/s. What will be their mutual speed immediately after the collision?

$0.70 \mathrm{m} / \mathrm{s}$

Physics 101 Mechanics

Chapter 7

LINEAR MOMENTUM

Section 1

Momentum and Its Relation to Force

Kinetic Energy

Moment, Impulse, and Collisions

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So this quadrant we have two learning to each other. We have one hundred kilogram tackler satis moving at two point five meters per second, and it means heads on. Teo, a twenty eighty two program halfback, says movie at five meter per second, it's a head on collision. So if they should be abstraction and then the cloud together end, they hold onto each other. So now they've become just wear. Huge mess moved in together and we're trying to figure out how this moves. So firstly, let's decide a positive direction because things are moving ops directions. One will have a positive velocity. And one where has an actual plastic and this just cause It's passed too. So Andi, let's cause checker a hands have back B. So now we have m A equals two massive sea Steckler. This slander tanking around cans of velocity, is two point five meters per second. For half back we have M B because eighty two kilogram and its philosophy is active since it's moving opposite direction. So it's this is what happens and this is all before collision, so ignition. What about finals? That is object collision after collision. There is really Just this white you dress because so I hold onto each other so we can think of some as a whole. And that is just one bite to kill. Now we'LL give us good Bostic and in section two or we need to know is the conservation for mentioned, Which means for any isolated system without external forces, some momentum will be the same before and after his collision. Hey, and this this equation will be beauty here before the creation. The momentum is just the true momentum is addition of their separate momentum class M DVB And of course, he's velocity, which is also a factor. And after the collision, it's just big. And he's a total mass because, say, really become one particle and the total velocity And we already know M v a with no envy in Vienna, and we're looking for me. So we got all we need. Then we just we arranged this equation. So we have a b a close Andy baby over them, and we plug in all of the numbers and we have one hundred ten kilogram times two point five feet of the second. Um, Plus, did you kill him? I was five meter per second open. This is connected. It's and divided by one hundred two children. Sad actually gets us. I just tried him existed. A cure snacked it by because this is an abstraction that gives us an active Cyril point seven liter percentage. What does this knocked me? The slutty minx that after? Because this is a positive direction and this is an active direction. So heavy and inactive direction is after the collision. It will actually moves this way. So for the tackler, he would actually turn and go back inwards concert. So after the collision they will be moving in the direction so half back before the question. So if you just happen to define some direction, is the other way. If you originally defined how packed it is Aha, a positive direction then you'LL get a positive zero point seven. But it also the sign is just a way to tell you which direction it's moving. It's moving in how in directions that the halfback wass moving and the matatu is our point seven. So that is see, we just be after his collision

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