A $195$ g block is pressed against a spring of force constant $1\mathrm{.}55$ kN$/$m until the block compresses the spring $10\mathrm{.}0$ cm$.$ The spring rests at the bottom of a ramp inclined at $60\mathrm{.}0$ to the horizontal. Using energy considerations, determine how far up the incline $($in m$)$ the block moves from its initial position before it stops under the following conditions.

$($a$)$

if the ramp exerts no friction force on the block

$($c$)$

What If$?$ If the ramp is $4\mathrm{.}00$ m long, what is the maximum coefficient of friction that would allow the block to reach the end of the ramp?