**Part (a)**

From the equation of mechanical energy:

$\overline{){\mathbf{E}}{\mathbf{=}}\frac{\mathbf{1}}{\mathbf{2}}{\mathbf{k}}{{\mathbf{A}}}^{{\mathbf{2}}}}$

A mass is oscillating with amplitude A at the end of a vertical spring of spring constant k.

Part (a) The amplitude is doubled, keeping mass and k constant. What is true about the total mechanical energy?

Part (b) The amplitude is doubled, keeping mass and k constant. What is true about the maximum speed?

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Simple Harmonic Motion of Vertical Springs concept. You can view video lessons to learn Simple Harmonic Motion of Vertical Springs. Or if you need more Simple Harmonic Motion of Vertical Springs practice, you can also practice Simple Harmonic Motion of Vertical Springs practice problems.