How far does the block travel after being released?

AI Thread Summary
A block with a mass of 0.08 kg is compressed against a spring with a spring constant of 31 N/m and released from a compression of 0.15 meters. The discussion revolves around calculating the distance the block travels after release, factoring in the coefficient of friction of 0.45. Participants are trying to develop an equation to balance the work done by the spring and the work done against friction. There is confusion regarding the correct formulation of the equation, with suggestions to simplify the problem by considering the block's motion without the spring first. The conversation emphasizes the need for clarity in calculating forces and friction to arrive at the correct distance traveled.
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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.
 
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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.
 
is my equation right or wrong
 
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 ...
 

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