Simple Mass Spring System Homework: Finding Distance, Work, and Power

[Harshmau5]

Homework Statement

consider a mass spring system mounted on a horizontal surface. The left end of the spring is rigidly mounted, and the spring constant is 27 N/m. A block with a mass of 7 kg is placed on the right side of the spring and compresses the spring a distance of .15 m. The region on the horizontal surface under the spring from the barrier on the left side to the equilibrium length of the spring is frictionless. The region of the horizontal surface to the right of the equilibrium length of the spring has a coefficient of kinetic friction equal to .55.
A. How far does the block slide before it stops?
B. How much work is done on the block by the spring? How much work is done on the block by friction?
C. What is the power dissipated by friction?

Homework Equations

The Attempt at a Solution

 

[Harshmau5]

I'm thrown off because I don't have the velocity of the block as it starts from rest and is launched by the spring. Do I use conservation of energy?

 

[lep11]

Do I use conservation of energy?

That's a good start.