oscillation, you pull the block to a position $\backslash ($ x$\_\{$i$\}=6\mathrm{.}76\backslash$mathrm$\{$~cm$\}\backslash )$ from equilibrium and release it$.$

$($a$)$ Determine the potential energy stored in the spring before the block is released.

How is the elastic potential energy of the spring related to the stretch of the spring? J

$($b$)$ Determine the speed of the block as it passes through the equilibrium position.

How does the elastic potential energy of the spring at its maximum stretch compare to the kinetic energy of the block as it passes through the equilibrium position? $\backslash (\backslash$mathrm$\{$m$\}/\backslash$mathrm$\{$s$\}\backslash )$

$($c$)$ Determine the speed of the block when it is at a position $\backslash ($ x$\_\{$i$\}/4\backslash ).$

$0\mathrm{.}434$

Is energy conserved for this oscillating block$-$spring system? $\backslash (\backslash$mathrm$\{$m$\}/\backslash$mathrm$\{$s$\}\backslash )$