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(a) A set of point charges is held in place at the vertices of an equilateral triangle of side $10.0 \mathrm{cm},$ as shown in Figure 18.38$($ a). Find the maximum amount of total kinetic energy that will be produced when the charges are duced when the charges are released from rest in the friction less vold of outer space. (b) If the charges at the vertices of the right triangle in Figure 18.38$(\mathrm{b})$ are released, how much total kinetic energy will they gain? When will this maximum kinetic energy be achieved, just following the release of the charges or after a very long time?

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Physics 101 Mechanics

Physics 102 Electricity and Magnetism

Chapter 18

Electric Potential and Capacitanc

Kinetic Energy

Potential Energy

Energy Conservation

Electric Charge and Electric Field

Gauss's Law

Electric Potential

Capacitance and Dielectrics

University of Michigan - Ann Arbor

Hope College

McMaster University

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does. This question gives us two configurations. One is in a collateral for N go and see. The other one is inches, right angle kind of configuration. And what we're asked is that if we convert all the energy in this configuration into kinetic energy home, what is the black swan kinetic energy we can't get out of each configuration, so thiss constrain can be accomplished in freezing. But second, sufficient energy. So right now is when everything's fixed. Isa configurations. There isno kinetic energy because nothing's moving. But it's the same time each corporation has their own huge potential energy, and when's the charge are let loose? What happened is that the charge we're honored will try. We'll move apart from each other because they're off the same signs. So electric force they have each other repel Cem. So they moved in different directions and they were accelerate. And because of that, as a move apart, the Patricia Engy decreases and the potential energy is converted to use. A kinetic energy went there infinitely far. Satis Where's their protection? And zero? That is when all the potential energy will be converted into kinetic energy. So he ordered two fights a blast like genetic energies that is to be produced. We find the protection energy stories, this configuration because that's the total amount of energy. And that's the maximum amount, so it could be converted. You can addict energy. And for potential energy, we already know that potential energy you because K Q types Q prime over our This's for a cigarette. Q Q Prime. We have multiple charges so that actually you will be a some off thes. So it will be Kate over Q one Q to you over our 12 plus Que Tu cues three over art is three plus Q 12 3 3 3 to 1 over our 31 So it was the first configuration because he is equilateral. So the distance between each of them are the same. It's all Ah, 10 centimeter is was just giving the question. So So we just play. He also numbers. We have eight points, died nine times, turned his negative time over. So it's sincere 00 point. What? I put some bees became a times. Okay, So you want you to accuse three all of different charges, so I have for times to conduct a six times two times 10 to the negative six said is so it's left to Chartres is that I have two times Teddy connective six times three times till his er just that's a bottom too. And the last one, I had the right to four times 10 to the negative six times three times 10 to the negative six. And Hosea is in terms of char and we cackle exist. We get 2.34 times 10 to easy active six. Sure and yes, so help I did not includes an active size here because there's a castle where you are. You must plead we much pride inactive numbers but on texting please. You're inactive for addictive to active to lip to Syria Tactic for an anniversary. But there's a castle. So yes, so that is the energy that will be produced out of some first configurations to Prince throughput content his negative six jar and we will do the same for the 2nd 1 accepts that for a second whether distance, maybe a little bit more tricky are we have so we have so point. Oh, have 50 centimeter and tense sitting in her, so we need to fuse some geometry to figure out the distance between the four by crow. Call in charge and soon we're gonna charge. But the formula is the same. So we still have K times hell and cute you over. I want to you plus security Q three over our checks during plus Q three Kyu won over our +31 So can we have a 0.99 times? 10 to the naked eye times? Now we have four times detectives six times two times Doctor of six. Their distance is 10 centimeter already. I'm writing all the units at Zaveri End of the equations Is this Ah, a shot cut. But you can also do that if you are 100% sure everything's already sa units. So, uh, next one is two times negative six times three times Section six. This is when it's 15 centimetre and the last one is four times to inflect up. Six times, three times 10 to the negative six. And this is when it's 18 centimeter. Okay. And is this turns out to be one point 68 chill. So this is actually much Why is it Oh, Sarah. Here it's It's Nadal. Colin Thatis way. So on the same configuration is the charges of the energy start in second configuration so much larger than the energy starting the first configuration of largely because here we have micro column instead of at a column. So we have Micro Colin here and we can we can get energy of company six h r got a bit. So we are asked, where was this maximum kinetic energy be achieved just following the release of the charge, But after a very long time and I already covered that is beginning with this video. But what happens is you were achieves maximum kinetic energy when interpretation energy is zero and that's a protection. Energy is mu zero when this r is infinite. So that is when all charges have been moving to infinitely far apart and when they're not accelerating anymore teaches this electric force so since would happen after a very long time of release. So the answer is working as a maximum. Connecticut NGOs, not a cheap tried after is a release. It's achieved after Parimal type charges and even the leaf are part of each other

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