Think of a system where you attach a mass to spring and hang the system vertical

Question

Think of a system where you attach a mass to spring and hang the system vertically. Imagine taking this system, pulling the mass down and letting it go. The mass will oscillate with simple harmonic motion between -xm (the bottom), +xm (the top) and x=0 (the original rest position). Answer the following questions with reference to the points +xm, -xm, and x=0.............................. a) At what point(s) does the mass have the most kinetic energy? The least kinetic energy? Explain........................................ b) At what point(s) does the mass have the most total energy? The least total energy? Explain.

Explanation / Answer

a.) Most KE: x=0. Least KE: +xm and -xm At KE = 0.5*mv^2 ---> velocity is greatest at x=0 and least at +xm and-xm _____________________________ b.) The total energy of the system is the same at all points due to Conservation of Energy.

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