# 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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#### 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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#### Solution Summary

The solution clearly explains the concepts while solving the problem.

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