A $803$ g block is released from rest at height ho above a vertical spring with spring constant k $=440$ N$/$m and negligible mass. The blocksticks to the spring and momentarily stops after compressing the spring $17\mathrm{.}9$ 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 ho$?($d$)$ If the block were released from height $5$ho above the spring, what would be the maximum compression of the spring?