(Solved): A spring is attached to an inclined plane as shown in the figure. A block of mass m=2.53kg is pl ...

A spring is attached to an inclined plane as shown in the figure. A block of mass $$m=2.53\mathrm{kg}$$ is placed on the incline at a distance $$d=0.312\mathrm{m}$$ along the incline from the end of the spring. The block is given a quick shove and moves down the incline with an initial speed $$v=0.750\mathrm{m}/\mathrm{s}$$. The incline angle is $$?=20.0^{?}$$, the spring constant is $$k=540\mathrm{N}/\mathrm{m}$$, and we can assume the surface is frictionless. By what distance (in $$\mathrm{m}$$ ) is the spring compressed when the block momentarily comes to rest?