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Two identical pucks collide on an air hockey table. One puck was originally at rest. (a) If the incoming puck has a speed of 6.00 $\mathrm{m} / \mathrm{s}$ and scatters to an angle of $30.0^{\circ},$ what is the velocity (magnitude and direction) of the second puck? (You may use the result that $\theta_{1}-\theta_{2}=90^{\circ}$ for elastic collisions of objects that have identical masses.) (b) Confirm that the collision is elastic.

(a) $v _ { 2 } ^ { \prime } = 3.00 \mathrm { ms } ^ { - 1 }$(b) $K E _ { 1 } = K E _ { f } = m \times \left( 18.0 \mathrm { ms } ^ { - 1 } \right)$

Physics 101 Mechanics

Chapter 8

Linear Momentum and Collisions

Moment, Impulse, and Collisions

Cornell University

Rutgers, The State University of New Jersey

Hope College

University of Sheffield

Lectures

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All right. So here we have to a radical box B one and B to the insula. Velocities for this books are you want? And General Because one is oppressed right now. As this party want to strike the park, Peter than P two goes this way with the velocity V two on the P one goes this way with publicity are the one. Okay, this is the one. Okay, not be too. All right. So what we need to do here is we need to calculate the velocity off the second book. Off course. The direction is minus 60 degree. Because we use that for this fantastic core. Isn't someone molested because to 90 degrees now to find a magnet? Chur off the off the second buck. Be too. So what? We use these? We used the conservation off the moment I'm here. So if you consider empty with a mass So initially the moment of extraction waas a new one and finally the moving them in wide Rickson is what m b you want cost in yesterday Sensory cost 30 plus m b two course. Oh, it is 60. This is the conservation of momentum along X along why we do not have any initial moment. So Gero? Because too, I am the one sighing turkey. So this is the moment of everyone sent Terry. And this is the moment of M b. Do sign minus 60. Right now what we can do to solve this too is that well, we can cancel out the em first. So you want it wants to do you want cost? Tita, that is turkey plus two cost cost 60 because minus 60 isn't perfect course. Right on zero. Because too be one sign turkey. Okay. Minus effects sign. Of course. Minus two, 7 16 So an easy way off solving the sea question to find our view. One individual is a multiplying with sight. What? Do you like this with a signed picture and want to climb this equation with Kostya. So it cost 30 on. Then subtracting. Get you on the left hand side. You get you once I'm Peter. And on the right hand side, the view one time cancels out. So you only did be too cost 67 30. I'm signed. 60 cost 30 blindness. You do science 16. Most are due. All right. So just like in the manager's off you want on district committee persons, 62 Half is equal to he, too, is what we have to find out. Who won by two in 200 trees on before, minus B two times. Two times two is four. This gives your V two is equal to created Just Corsican. Okay, Now, if you'll show that this question is elastic so we're done. It's part of the person, afterparty. Let's let's do this sweet of you. So for part B, the initial energy e I he's huh? Um, you want square now? You wanted six. So this serving 18 jos on dhe. Final energy E f is equality off em. You want a Squire? Plus you to Squire, the game is just not the kind of dignity off off the books, the books, that is They called you half off em em by two. Oh, you want to square his homers? So you've got we've got only veto, right? So what is the one? You can just use this formula here so everyone is equal to you can use this from here. It's a question here, So everyone is equal to through three times two So that gives me the one is too. My point to disperse ticket. So here is Piper into per second on 9 18 27 have contributed per second. It's fire last three squad. It's nine. So this again gives me 18 Enzo's If you look the Insel Energy e I is you called to the final energy? Yes. Which means that no energy is lost on this isn't fantastic. Cool isn't all right? So we are done with this problem?

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