A spring$-$loaded gun fires a $0\mathrm{.}090-$kg puck along a tabletop. The puck slides up a curved ramp and flies straight up into the air.

$($a$)$ If the spring is displaced $22\mathrm{.}5$ cm from equilibrium and the spring constant is $875$ N$/$m$,$ how high does the puck rise, neglecting friction?

x $=$ m

$($b$)$ If instead it only rises to a height of $5\mathrm{.}00$ m because of friction, what is the change in mechanical energy?

Wnc $=$ J