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By integrating the equation of motion, ∑ Ft = mat = mv(dv/ds), the principle of work and energy can be written as ∑ U1-2 = 0.5m(v2)2 – 0.5m(v1)2 or T1 + ∑ U1-2 = T2. ∑U1-2 is the work done by all the forces acting on the particle as it moves from point 1 to point 2. Work can be either a positive or negative scalar.
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What do the shapes of these graphs tell you about the relationship between distance and displacement for an object traveling at a constant acceleration? As long as an object travelling at a constant acceleration in single dimension, the distance and displacement will be equal or same.
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- After a LONG TIME === Current through capacitor = 0
- RC Circuit (Charging)
The moment I saw Kirchhoff's Rule for charging a capacitor and a resistor was a first order forced differential equation, I got really excited. I just pretty much failed my test and it is my major after doing good on the quizzes and homework and then you throw this at me and I don' know what is happening. I can kiss my A good bye. Holly Hell!!!...
After xx seconds === Exponentially more difficult!
Capacitor uncharged, Switch is moved to position “a”
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Feb 20, 2022 · What does a change in entropy mean, and why should we be interested in it? One reason is that entropy is directly related to the fact that not all heat transfer can be converted into work. The next example gives some indication of how an increase in entropy results in less heat transfer into work.
Explain the Lorentz transformation and many of the features of relativity in terms of four-dimensional space-time. We have used the postulates of relativity to examine, in particular examples, how observers in different frames of reference measure different values for lengths and the time intervals.
In the long run, this M.C. will be in state 1 with probability a a+b and in state 0 with probability b a+b, independent of the initial state (X 0). That is, ˇ= (ˇ 0;ˇ 1) = b a+ b; a a+ b is the limiting distribution of this Markov chain. As shown in Example5, ˇis also a stationary distribution of this Markov chain.
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Mar 16, 2023 · The effect of this is that electrons in the T 1 state have a long lifetime, which can be on the order of 10-4 to 100 seconds. There are two possible routes for an electron in the T 1 state. One is that another spin flip can occur for one of the two electrons causing the spins to be paired.
