A horizontal spring with a force constant of 40 $mathrm{N} / mathrm{m}$ is attached a 0.1 $mathrm{kg}$ block.
(a) If the block is pulled to a distance of 0.5 m and released, what is the maximum speed of the block?
(b) What is the frequency of the oscillations?
(c) If the spring were flipped vertically and attached to the ground with the block placed on top, how would the natural length of the spring change?
(d) How does the frequency of the oscillations of the vertical spring block oscillator compare with that when it was placed horizontally?