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COOP_6 10

COOP_6 10 - Again label the axes completely(d Make a plot...

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Name: ______________________________Section/Instr.: ___________________ Partners: __________________________________________________________ Physics 2207, Fall 2010 1 Cornell University Cooperative Problems 6: Energy in Simple Harmonic Motion 1. A 2.0-kg block oscillates back and forth on a spring ( 2 kg/s 20 k ) in the horizontal plane. It is released from rest at an extension of 10 cm. Like the swinging bowling ball in lab, the motion will be given by: ) cos( ) ( max t x t x , so that its initial position at time 0 t is max x x . Ignore friction. (a) Make a plot of position versus time for two full cycles. Label the axes completely. (b) Make a plot of velocity versus time for two full cycles. Label the axes completely. (c) Make a plot of position squared versus time for two full cycles.
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Unformatted text preview: Again, label the axes completely. (d) Make a plot of velocity squared versus time for two full cycles. Again, label the axes completely. (e) Make a plot of kinetic energy and potential energy on the same graph (make sure you get their relative magnitudes right). Then add to get the total mechanical energy as a function of time. Do the three plots make sense? Distinguish clearly between the three and label the axes completely. (f) Suppose that the initial displacement of the mass was doubled. By what factor would each of the quantities max v , max K , and max U change? (g) Describe the motion qualitatively if there was a little friction between the bottom of the block and the horizontal surface. Qualitatively repeat part (e) for this case....
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