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    MS_SUMTER2010's Avatar
    MS_SUMTER2010 Posts: 55, Reputation: 3
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    #1

    May 10, 2010, 12:27 PM
    Conservation of energy
    A pendulum is pulled sideways so that it is raised a vertical distance of 2 m above its resting position. Find the maximum speed the pendulum reaches after being released.
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #2

    May 10, 2010, 12:33 PM

    Same concept as before - the potential energy you apply in raising the object 2m is converted to KE as the object falls. The amount of work you put into the system is force x distance: here the force is the object's weight = mg. So you have:
    PE = mgh (where h = 2 m)
    Which gets converted to KE = 1/2 m v^2.

    So:

    PE = KE
    mgh = 1/2mv^2

    Note that the mass terms cancel out - in other woirds, you get the same answer regardless of the actual mass of the pendulum. Now you can solve for v.
    MS_SUMTER2010's Avatar
    MS_SUMTER2010 Posts: 55, Reputation: 3
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    #3

    May 10, 2010, 12:41 PM

    How do I know the mass
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #4

    May 10, 2010, 12:59 PM

    As I said: you don't need to know the mass! It ciancels out of both sides of the equation.

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