A block with mass m $=3\mathrm{.}7$kg on a horizontal frictionless surface is attached to a spring whose force

constant is k $=450$N

m $.$ The block is pulled from its equilibrium position at xeq $=0$m to a displacement of

xi $=0\mathrm{.}080$m and is released from rest. The block then executes simple harmonic motion.

a$)$ What is the maximum potential energy stored in the block$-$spring system? $[5$pt$.]$

b$)$ What is the maximum velocity of the block? $[5$pt