Question

Consider an object of mass m is resting atop a frictionless table and connected to a spring of

stiness k. It is displaced some distance Ao and let go.

1. Write expressions for the associated kinetic and potential energies as functions of

time. Make a sketch showing both over some meaningful time interval.

2.Write expressions for the associated kinetic and potential energies as functions of

space. Make a sketch showing both over some meaningful spatial interval.

3. Determine the spatial average value of both the kinetic and potential energies. Relate

your answer to your sketch in the previous part.

Answer 1