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March 30, 2017

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A spring with k=40.0 N/m is at the base of a frictionless 30.0 degree inclined plane. A 0.50-kg object is pressed against the spring, compressing it 0.20m from its equilibrium position. The object is then released. If the object is not attatched to the spring, how far up the incline does it travel before coming to rest and then sliding back down?

  • Physics - ,

    It rises until the all of the stored spring potential energy is converted to gravitational potential energy.

    (1/2) k X^2 = M g H

    Solve for the Height H that the object rises.

    The distance it moves up the incline is H/sin30 = 2 H

  • Physics - ,

    0.33

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