(II) An object at rest is suddenly broken apart into two fragments by an explosion. One fragment acquires twice the kinetic energy of the other. What is the ratio of their masses?

Answer

$\frac{1}{2}$

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Physics 101 Mechanics

Physics

Chapter 7

LINEAR MOMENTUM

Section 1

Momentum and Its Relation to Force

Discussion

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Video Transcript

So is this question. We have one piece I object so suddenly breaks apart into two movie in opposite directions. So let's just call this one day in the sun, be one object. One fragments has twice a kinetic energy off the other. Let's just assume a is one that has the knowledge of kinetic energy. So is this customs? Please? We're not given any numbers. We're we're just trying to work with equations. So we have the conservation of momentum as usual. So we have zero before the collision and maybe a first in B maybe after the collision. That's pretty much the only conservation or we can use because we can see the kinetic energy is definitely not conserved because it was zero and then officer named camps non zero. But the reason kinetic energy is not conservatives, because the reason it breaks apart is, um is explosions. There must be some chemical energy stored inside his objects that cause it to explode in that chemical energy is being transferred into kinetic energy. But also we do not nose. Would you not have school swish up energy? We still don't know that was a kinetic energy of a is twice. That's the kinetic energy of be SAT means the clinic change of a is twice. Can I just energy of feet? Great. That's a T equation we have and from these two equations were trying to find the racial of Satou, Mass. And how do we find the May offer? And usually we can leave and separation if we have one equation involving on Lee and be meaning, we need to get rid of both feet and people, and we can do that by this. First tried to do it step by step, Miss Frustrated Cancel or the baby in this equation, and this one seems more straightforward. So let's start from this. And we tried to express Phoebe in terms of other quantities so that we can get rid of sleepy. So this's developed a wrench. It's the first equation, like an expression on fifty isn't never plucks up into the second equation. We have an N V a square format, U equals and B Phoebe Square, where Bebe it's the stomach and ignores an active sun cost. There is a square, uh, is that we're changing on active into positive, and if I simply for the salute of it. I get them a square, the A script over and be That is great, because now you look at this equation, you find me a scramble set. So the race creed also Kansas that leaves us with them, a over chilled equals and a skirt over Andy. Or again. We develop ulcers. But in a kid's usted es over and B equals one half. What's that? Is what we're trending up. So the fragments we start a kinetic energy is half the mass of the other fragments.

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