$(43)$ A $200-$g block is pressed against a spring of force constant $1\mathrm{.}40$ kN$/$m until the block compresses the spring $10\mathrm{.}0$cm$.$ The spring rests at the bottom of the ramp inclined at $60\mathrm{.}0$ degrees to the horizontal. Using energy considerations, determine how far up the incline the block moves before it stops $($a$)$ if the ramp exerts no friction force on the block and $($b$)$ if the coefficient of kinetic friction is $0\mathrm{.}400.$