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7 February, 02:32

A spring has a spring constant k of 88.0 N/m. How much must this spring be compressed to store 45.0 J of potential energy

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  1. 7 February, 02:54
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    Ok

    so here it is

    the energ function is a square of compression

    at 1 m compression you'll have a 88N force that pushes back

    you might think that 1m*88N = 88J potential energy there but it's wrong

    why?

    because while an 88N force will start reverting the spring back to its original size when the spring comes to ... let's say 50 cm compresion that force will only be 44N and dropping to 0 till the spring gets back to full size

    therefore you should think this as a geometry problem

    if you draw the graph of the function F=kd

    you'll have the energy as the area of the triangle defined at some d=x compression and the graph line of F=kd

    the corners of the triangle would be (0,0), (x, 0), (x, kx)

    therefore the area of the triangle is b*h/2

    wich is x*kx=E

    therefore x^2 * 88N/m = 45J

    x^2 = 0.5113636m^2

    x=0.715m
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