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    Energy conservation in oscillatory motion: Strategy to find speed of mass when it is halfway to the equilibrium position

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    A 0.40 kg mass is attached to a spring with a force constant of 26 N/m and released from rest a distance of 3.2 cm from the equilibrium position of the spring. (a) Give a strategy that allows you to find the speed of the mass when it is halfway to the equilibrium position. (b) Use your strategy to find the speed.

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    https://brainmass.com/physics/conservation-of-energy/energy-conservation-oscillatory-motion-42513

    Solution Preview

    Solution. We know that mass m=0.40kg, a force constant k=26 N/m. So, we can compute
    w=sqrt(k/m)=sqrt(26/0.4)=8.06
    So, the motion equation is
    ...

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