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-   -   Physics Oscillation Energy (https://www.askmehelpdesk.com/showthread.php?t=525001)

  • Nov 11, 2010, 12:40 PM
    heyyalliee
    Physics Oscillation Energy
    Okay everyone Last Question I have today I promise!

    Given: A 2.1-kg mass attached to a spring oscillates with an amplitude of 9.0 cm and a frequency of 4.0 Hz.
    Questions:What is its energy of motion?

    This is what I have so far. E= K+U
    so; (1/2)mv^2+(1/2)kx^2
    v=0 so we are left with E=(1/2)kx^2
    I can find K by using T=2(pi)*sqrt of m/k
    frequency is 1/T. Thus I set 4.0=1/T and get T=.25
    I then set .25=T=2(pi)*sqrt of m/k
    Plug in what we know: .25=2(pi)*sqrt of 2.1/k
    I then solve for k. I divide .25 by 2(pi) ,square root both sides and divide 2.1 by .154213 and get k=13.6.
    Is this right? I think I am making some error along the way.
    When I plug that into (1/2)kx^2 to get E. It says that answer is wrong.
    What am I doing wrong?
  • Nov 11, 2010, 01:48 PM
    ebaines

    You were oK up through here:



    From this you should get:



    Always check your units to make sure you haven't messed something up.

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