A $100$ gram mass is at rest on a frictionless air track glider. The length of the track is $2$ meters and the mass is initially set at the midpoint. The mass is attached to a spring, k $=50$ Newtons$/$meter$,$ which is anchored to one end of the track. The mass is pulled back $0\mathrm{.}75$ meters and allowed to oscillate along the track.

Find the amount of work down in extending the spring $0\mathrm{.}75$ meters

What force was applied to the spring in order to extend it $0\mathrm{.}75$ meters?

After releasing the mass, find its maximum velocity.

At what point does the oscillating mass reach maximum velocity?