A$657$g block is released from rest at height$$h$0$above a vertical spring with spring constant$$k$=520$N$/$m and negligible mass. The block sticks to the spring and momentarily stops after compressing the spring$15\mathrm{.}2$cm$.$ How much work is done$($a$)$by the block on the spring and$($b$)$by the spring on the block?$($c$)$What is the value of$$h$0?($d$)$If the block were released from height$4$h$0$above the spring, what would be the maximum compression of the spring?