(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?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Block on Spring with Friction Problem

**Physics Forums | Science Articles, Homework Help, Discussion**