A $975$ g block is released from rest at height $h_0$ above a vertical spring with spring constant $k=290\frac{N}{m}$ and negligible mass. The block sticks to the spring and momentarily stops after compressing the spring $11\mathrm{.}1$ 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 $4h_0$ above the spring, what would be the maximum compression of the spring?

$($a$)$ Number $$ Units $$

$($b$)$ Number $$ Units $$

$($c$)$ Number $$ Units $$

$($d$)$ Number $$ Units $$