(Solved): Solve for a- height and b-distance A spring with spring constant \( k=100 \mathrm{~N} / \mathrm{c ...

Solve for a- height and b-distance

A spring with spring constant \( k=100 \mathrm{~N} / \mathrm{cm} \) is compressed by a distance \( \Delta x=5 \mathrm{~cm} \) then used to launch a block with mass \( M=1.02 \mathrm{~kg} \) horizontally along a surface with negligible friction. The block then slides up a ramp with an incline of \( \theta=15^{\circ} \). The coefficient of kinetic friction between the block and the ramp is \( \mu=0.2 \). How far does the block slide up the ramp before it comes to rest? (You may give the height or the distance along the ramp, but you must specify which.)