A 1.2kg block slides along a horizontal frictionless surface at a speed of 6.5m/s when it runs into a spring with stiffness 2.2N/m that is at its equilibrium length. Just as it starts to compress the spring, the surface becomes rough, with a coefficient of kinetic friction equal to 0.3. The spring brings the block to a full stop, where it remains at rest.
a. Find the amount the spring is compressed.
b. Find the amount of energy converted to thermal.
c. Find the minimum coefficient of static friction of the surface.