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Professional ApplicationSpace probes may be separated from their launchers by exploding bolts. (They bolt away from one another.) Suppose a 4800 -kg satellite uses this method to separate from the 1500 -kg remains of its launcher, and that 5000 J of kinetic energy is supplied to the two parts. What are their subsequent velocities using the frame of reference in which they were at rest before separation?

$v _ { 1 \mathrm { S } } ^ { \prime } = 0.704 \mathrm { m } \mathrm { s } ^ { - 1 }$ and $v _ { 1 \mathrm { L } } ^ { \prime } = - 2.25 \mathrm { m } \mathrm { s } ^ { - 1 }$

Physics 101 Mechanics

Chapter 8

Linear Momentum and Collisions

Moment, Impulse, and Collisions

Cornell University

Rutgers, The State University of New Jersey

McMaster University

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Okay, so here we are, separating launcher from its satellite. The mass offset light. Here is 4800 cases letters, dinner that by m on so everyone is equal to 40 age on great cases, there is a mass of satellite on this. Massive. This satellite needs to be detached from its launcher remains office launcher. And that has a massive 1500 kids is right. So initially, both of them. Ah, where it rest in our prima preference. Right. So you want to quit zero you three course to zero. Now, what we're doing is we are giving through them, uh, energy and energy off 5000 jewels to break them apart. Right to did ask them So. So what we can do here is make tweet questions here after the detach. So one is from the contribution off in their momentum that say's that everyone you want, plus m to you too. That is the total initial and her mom Sorry. In a moment, Um, on this should be called to m one V one plus empty vigils. Considering that B one and B do there be the rebel cities after they detach. Okay, so from here the lift inside zero. Right. So what we can get is M one V one is equal to minus M two video. That's it. Right. Okay. Now let's use another conservation here. Conservation of energy. So how much energy that we supplied? That is 5000. Now, this energy supplied. Considering that there is conservation, there is no loss of energy between. All right. So this how thousands old should be equal to the total in Jersey that they get right. So that would be 1/2 M. One V one is Squire. Bless half em to BJ Square. Well, now let us substitute the value off everyone that we get from here to Capitol City too. So everyone is equal to minus m to video upon and one right. So this substitute the value here and take two on the left hand side. So 5000 into two would be equal to em one times. And until we do a bomb and one, this is negative, but it's quiting squaring. This will turn that negative into positive. So there is no point of writing on negative here Injuries. I'm writing that last time too. Getty Square. Now we have everything except the victim in this equation. Practice again. Target is eerie from this. So if you look here than we re Squire for me 10,000 into everyone Boom! I'm your Squire. Bless M one a plug in the values off someone and I am to hear the new get Beatrice squired. Remember, Squire is a total five point Jiro eight meters squared per second squared. Now if you do the square root of 5.8 then you get V two as two point rest minus do point five meters for a second on. If you calculate now, be one from our question, let us consider one this one from a person one. Then everyone would be equal to minus two by someone beating right? So just like in the values off M one empty envy to this gives me minus and unless 0.67 meters per second. So we have a couple of answers here. Other you can say between plus 2.25 that is Hi Future Member Gezi has 2.25 minute per second and 4800 k Easy has minus two different 67 are just the opposite this signs us indicates the direction there that they are in opposite direction. Right? If one is going to is another is going to the West, that's it. So both of these answers have acceptable, and this ends ends the answer to this question.

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