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(II) A $95 .$ kg halfback moving at 4.1 $\mathrm{m} / \mathrm{s}$ on an apparent breakaway for a touchdown is tackled from behind. When he was tackled by an $85-\mathrm{kg}$ cornerback running at 5.5 $\mathrm{m} / \mathrm{s}$ in the same direction, what was their mutual speed immediately after the tackle?

4.76 m/s

Physics 101 Mechanics

Chapter 7

Linear Momentum

Moment, Impulse, and Collisions

Rutgers, The State University of New Jersey

Simon Fraser University

University of Winnipeg

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So here we have a schematic of our problem, where we have one player with any faction against a mass moving at a certain velocity, chasing another player, a smaller velocity there allegedly when they collide, they will act as one object with a mass of each of their messes individually, some moving at some final velocity which we want to calculate. And do you? This was gonna simply use the conservation of momentum which says that the initial momentum asked equals final momentum of the system. Well, this is our initial and this is our final situation. So our initial momentum will be the mass of the first player, plus the mass of the second player for the momentum of both players. So m one a one plus m two g two you should be the mass of the first player is 85 kilograms and his velocity, where their velocity is 5.5 meters per second and when these two are multiplied together, you'll get the units of kilograms meters per second plus the mass of the second. She's 95 times their velocity, which is 4.1 meters per second, adding these together plug amusing calculator will give 857 kilograms meters per second and all this fast equals the final momentum which will be the mass of both players times the velocity of both players asked equal the final for the initial momentum. 857 kilogram meters per second. If we're solving for people's well, give us 857 divided by the mass of both which would be 85 kilograms plus in 95 kilograms. And since the units of the But and the Dominator be kilograms, it would just be left with meters per second and plugging this again into a calculator gives approximately 4.76 Neither is per second.

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