A block $($Mass $1)$ is pushed up against a spring and the spring is compressed $1\mathrm{.}8$ m$.$ Mass $1$ is released with just enough energy to go around a frictionless loop to loop $($any slower and the block would have

fallen$).$ After completing the loop to loop $($radius of $3\mathrm{.}7$ m $),$ the block goes up a frictionless ramp $(1\mathrm{.}2$ m high$)$ and collides with Mass $2.$ After the collision, Mass $2$ travels across a patch of friction $($ mu$=0\mathrm{.}56)$ prior to launching off a ledge and landing at an angle $3\mathrm{.}2$ m away.

Mass $1$ is $4\mathrm{.}5$ kg and Mass $2$ is $5\mathrm{.}7$ kg

a$.$ What is the spring constant?

b$.$ How long was the patch of friction that Mass $2$ traveled over?

c$.$ What was the angle and final speed of Mass $2,$ below the horizontal, when it hit?