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Simon Fraser University
(I) A 110-kg tackler moving at 2.5 ms meets head-on (and holds on to) an 82-kg halfback moving at 5.0 m/s. What will be their mutual speed immediately after the collision?
(I) What is the magnitude of the momentum of a 28-g sparrow flying with a speed of 8.4 m/s?
(II) According to a simplified model of a mammalian heart, at each pulse approximately 20 $g$ of blood is accelerated from 0.25 m/s to 0.35 m/s during a period of 0.10 s. What is the magnitude of the force exerted by the heart muscle?
(I) A 7150-kg railroad car travels alone on a level frictionless track with a constant speed of 15.0 m/s. A 3350-kg load, initially at rest, is dropped onto the car. What will be the car's new speed?
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welcome to our fourth example video looking at RLC circuits in this video, we're going to continue with the frequency of 1000 hertz and ask ourselves, what are the maximum voltage is that we're going to find across each of our circuit elements. So we are B. L NBC. Well, we do have very simple equations for this. We have homes law, and then we have the equivalence is that we found by defining reactant. Hopefully now you can see the importance of defining inductive, reactant and capacitive reactant because since we've calculated those weaken very quickly find what the maximum potentials are that we can expect across these different elements. So in the case we have here remembering also that our maximum I is going to be any not divided by C we have, eh? Not over Z times are we have, eh? Not over Z times Omega l and we have, eh? Not over Z times one over Omega times. See? So we very quickly can calculate one from what we've already done What these maximum voltages are now. What if we had been asked a different question? What if we had been given our circuit here and then asked, What is the resonant frequency of this system? We want to find the resonant frequency. The reason we're interested in the resonant frequency is because if we consider current as a function of frequency, we're going to find that at the resonant frequency, we're going to have our maximum current. So it's gonna look something like this, in fact, not even that broad. If we have a large resist er in there, it will actually be very sharp around F not. And as we have a smaller and smaller resistor, it will be a little broader here. But still, we're going to have a peek at the resonant frequency. So if we want to get the maximum current through this circuit, we need to operate it. We need to run it at the resonant frequency. So remember that the condition for the resonant frequency was that X l minus X c be equal to zero really working that we find that excel is equal to X C and omega l has to be equal to one over omega times. See Thus we find omega is equal to one over the square root of Elsie and Frequency F is going to be equal to 1/2 pi times one over the square root of Elsie. Okay, so we were able to find our resonant frequency here f not based on the properties of the different circuit elements that we have and the's are most of the questions that you could be asked about an RLC circuit.