(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A block of massmis moving at a speed ofvat a distance_{0}Laway from a spring of on a table with coefficient of frictionμ. How much does the block compress the spring? Determine the average power generated due to friction during the compression of the spring._{k}

I'm not sure if there is a problem with the question or is it just my methods, but is there a spring constantKneeded to solve this problem? Also how would I solve for the average power?

2. Relevant equations

W+W_{friction}=ΔKE+ΔU_{spring}

W_{friction}=F_{friction}x=μ_{k}mgx

3. The attempt at a solution

I split the problem into three sections. When the spring is compressed, right after the block reaches the end of the spring, and when the block is a distanceLaway from the spring. From these positions I got two equations and combined them into this:

kx^{2}-2μ_{k}mgx=m(v_{0}+2μ_{k}gL)

Now if thekwas given, I would just solve forxand that would be the compression of the spring. Am I missing something? or do I need a k to keep on going?

For the average power dissipated by friction, I would use the W_{friction}=μ_{k}mgx and then maybe integrate with respect to time or divide by time. Am I right in my assumption?

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# Homework Help: Block on Spring with Friction Problem

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