A $966$ g block is released from rest at height ho above a vertical spring with spring constant k $=480$ N$/$m and negligible mass. The block sticks to the spring and momentarily stops after compressing the spring $23\mathrm{.}5$ 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 $3$ho above the spring, what would be the maximum compression of the spring