PS1_09_1_ - Sketch the force on the particle as a function...

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2009 Chemistry 118a Problem set #1 Due Friday, September 11 Help will available in Sterling Chemistry Laboratory (SCL-3) on the week of Sept. 7-11 at the following times: W 1-3 PM Th 1-3 PM Textbook problems: Ch. 1: 8, 12, 16, 20, 24, 28 Ap. B #13, Don’t worry about calculating the work (yet!) Supplementary problem: Total energy, kinetic energy, and turning points. Graphical representation of motion. Suppose that a 5.2 kg particle’s motion is governed by a potential energy function: U(x) = Ax 2 + B where A=3 nt/m and B = 10 J (nt=newtons, J=joules, and m=meters). A. Plot the potential function vs position, x. B. This potential describes a harmonic oscillator.
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Unformatted text preview: Sketch the force on the particle as a function of x. Recall that the force is the negative slope of the potential function), and use this sketch to describe (in words) why the particle oscillates. C. Suppose that a fast movie camera identifies the speed of the particle just when it crosses the location x=1.5 meters as 5 m/s. What will be the speed of the particle when it reaches x=0? D. For the condition described in part C), what is the maximum amplitude of the oscillator? E. Suppose the particle has a total energy of 10J. What is the maximum amplitude of the oscillations under this condition?...
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