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An 88 kg fullback moving east with a speed of $5.0 \mathrm{m} / \mathrm{s}$ is tackled by a $97 \mathrm{kg}$ opponent running west at $3.0 \mathrm{m} / \mathrm{s},$ and the collision is perfectly inelastic. Calculate the following:a. the velocity of the players just after the tackleb. the decrease in kinetic energy during the collision

a. $v_{f}=.8 \mathrm{m} / \mathrm{s}$b. $\Delta K \cdot E=-1477.3 \mathrm{J}$

Physics 101 Mechanics

Chapter 6

Momentum and Collisions

Moment, Impulse, and Collisions

Cornell University

Rutgers, The State University of New Jersey

University of Washington

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ready is that we have a full bath moving east. And so he's is this way, and it's tackled and is going back. Wes backwards. Basically. So the first question is asking us to find at the blast final velocity here, and we can simply with the religion. And we have 88 kilograms here of the fullback times the velocity here. Good. I need this. Here we go. Not that. There we go, and we're gonna be subtracting. That's because the other guy is going ease. So we got 97 can kilograms times three meters for a second and a final velocity. They're gonna have the same. So be up here and we're just gonna be adding there. Um, wait there. Week together. Here we go. And I'm just gonna solve this year and we end up with for 40. And I'm actually what I'm gonna do is eliminate all these programs here so I don't have to write it. Yeah, there we go. Minus It's you 91. Get me up. And now would from the add those together on get 88 plus 97 one 85. And we're just gonna Saul, and we end up with a via that is zero point eats Oh, five or 81 meeting. Well, Dr my hands. So I apologize. So here we go. And I was No, the kinetic energy. So this is just This is a really easy area, and you're just gonna be doing, um And since the answer here is gonna be negative to, um so that you know that because your guy is going backwards. We have five squared. It was 25 waas one have 97. Okay. And of caffeine, 1/2 1 85 And then our velocity is actually this eat one. It's quick again. I'm not using units at the moment. I'm just cause it's easier to write all these numbers out without used in units. But you at home, you know, don't forget what units are if you have trouble with unit's, always include units. And here we're just gonna solve for this part right here. We get 88 times 25 divided by two, and we end up with 11 You here, as this is answer is going to be negative. We can actually reverse the, um we can actually we've bursts plus hear anything? Actually, yeah. 97 times nine divided by two You get because all right, I don't know why that became ST That's by And here we're gonna dio 1 85 times point eat one squared, divided by two and that we get Here we go and what it's gonna dio. And then we're gonna be getting *** dio one for seven by point e one and that's our answer.

Numerade Educator

Simon Fraser University

University of Sheffield

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