S10P1CLec13C

S10P1CLec13C - Physics 1C Lecture 13C"Imagine if we taught...

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Physics 1C Lecture 13C "Imagine if we taught baseball the way we teach science. Undergraduates might be allowed to reproduce famous historic baseball plays. But only in graduate school would they, at last, actually get to play a game." --Alison Gopnik

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SHM System Example A spring stretches 0.150m when a 0.300kg mass is hung from it. The spring is then stretched an additional 0.100m from this equilibrium point and released. Determine the maximum velocity of the mass. Answer First, you must define a coordinate system. The equilibrium position has already been chosen for you, let’s define up as +y.
SHM System Answer Next, draw a force diagram for the mass when it is first hung on the spring (before it is additionally stretched): mass F gravity, Earth on mass F restoring, spring on mass Since the mass is in equilibrium: F restoring = F g k Δ y ( ) = mg k = mg Δ y = 0.3kg ( ) 9.8 N kg ( ) 0.15m ( ) = 19.6 N m Now, let’s turn to conservation of energy. +y

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SHM System Answer Just before it is released, the energy in the system is entirely spring potential energy. The maximum velocity will occur at equilibrium, so we need to determine the energy there.
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