Conservation of energy II

[Aggie]

A block of mass 0.08 kg is pushed against a spring with spring constant k=31 N/m. The srping is compressed 0.15 meters from its natural length. The block is released and it slides along a surface with coefficient of frition 0.45. How far does the block travel from the point at which is is released?


I am having a problem developing an equation for this. It seems i am always short on something.

this is what i have so far

Work due to friction - work due to spring = work due to spring - work due to friction.

I know i am missing something but i don't know what it is.

 

[denverdoc]

Assume it is all horizontal. You have an initial set of numbers to calculate the force along the x-axis and the frictional forces, Soecifty these, and we can help more.

 

[Aggie]

is my equation right or wrong

 

[Mentz114]

Your equation says

1 = -1

Forget the spring and think about what happens if you just push the block with force f for 1 cm. Then return to the spring ...