You are in a space ship far from any other objects, and you want to build a clock. You decide to buildyour clock out of a spring with a mass attached to it$.$ You use a spring with spring constant $=138$ Nm$,$and you initially displace the mass a distance x $=25\mathrm{.}0$cm from equilibrium.a$)$ How much mass will you need so that your clock will measure seconds? $[6$pt$.]$b$)$ What is the max velocity of the attached mass? $[6$pt$.]$c$)$ Draw a plot of the spring potential energy $($Usp$)$ as a function of time for two periods of the clock.The plot must be neat and include numeric values for the max Usp. Make sure you also label thepoints when Usp is a min and a max, Give the numeric values for both the time and Usp