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Professional ApplicationTwo manned satellites approach one another at a relative speed of 0.250 $\mathrm{m} / \mathrm{s}$ , intending to dock. The first has a mass of $4.00 \times 10^{3} \mathrm{kg},$ and the second a mass of $7.50 \times 10^{3} \mathrm{kg} .$ If the two satellites collide elastically rather than dock, what istheir final relative velocity?

$v _ { \mathrm { rel } } = 0.250 \mathrm { ms } ^ { - 1 }$

Physics 101 Mechanics

Chapter 8

Linear Momentum and Collisions

Moment, Impulse, and Collisions

Alex D.

September 6, 2020

sir are you sure that the sign of the final answer or the final velocities is not negative?

Cornell University

University of Michigan - Ann Arbor

University of Winnipeg

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Okay. Now, listen. We want to question about 29 in this question. We have to man satellite separating one another. So there is considered the deer masses B m one on dhe and two. Right. And consider that the university's be you one on YouTube. All right, so this is initially so after they collide there. Felicity is this Turned out into the velocity. You want anything to suppose the one on velocity you to send us into Peter? Right. So it's given that their initial religion palace it'sa related velocity, that is you two minus you want What is it given? Is given at zero point five meters for a second. So this is the insurer. Religion capacity. So what we have to find his worries will be two minus 31 or you wanna ministry to What is the difference? We didn't get to envy. Want this is what? Right. So, to do this problem, let's use conservatism up in here a moment. First conservation. Oh, you near Wilmington. What? It said that the portal initial moment of music, Walter couldn't find the murder. Right? So camera one, you want less. And to you too, is equality everyone. The one bless I have to You do video, right? So this says the initial moment Amisi Quantitative final moment also will let us use conservation off energy because this is an elastic collision, right? What is the child's ear Elastic. So conservatism off kinda dick energy, right? There's no port incident. Years you've been sitting in this case, we just consider candidate energy. So the contribution of Canada Juniors is taste that, huh? I am one you want is well, what's it gonna dignity off the first satellite? Half em to you to square the candidate energy of the seconds of light in the shelling. This should be called to their Kandic Energy's off the city lights. So how and one of you is square and how after beauty school. Right. Okay, so what we can do next is there is a rain. Sometimes here in our first equation here, they just keep everyone on one sex. So that gives us and one U one minus the one is equal to I'm do be to minus you, too. Let's do the same for our conservation of energy question. So that gives you 1/2 years cancel in all four times. So everyone times you want, it's where minus B one is Squire. This should be culture. And two Does we do, Squire minus you do square. Okay, So what we can do now is divided this question. Want to divide Christian to buy one? Then what? You get it right here. Do you ride the question to bye one, The new gate on the left hand side, you get you want plus, even on the right hand side. You gave the to bless you too, right? So what I can do is take off the B two on the left hand side. So that becomes the one ministry to and take you one on the right hand side. That Williams, you two minus you want right? So the difference in various cities between one and two. You want minus V two? Oh, I wouldn't have written here. The Germans be one, so it's not a problem here. So either it'd be one ministry tour with the ministry on board gives us the electricity that should be called to 0.25 just per second as well. So we want minus b to the Izzy called. Is there a 0.25 meter for a second. So this is this was a little Felicity here. This was the village Felicity off one with respect to It's very rich diversity of two with respect to one on this was Israel. Simplicity of one with respect to to Well, it just depends upon the science, you know? So in night, actually, states that want to fires for second, so we're done with the solution to this problem.

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