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

The top of a hill is heighth, m above the ground. If there is a friction patch on the flat ground only and no friction on the hill, what will the speed of a box of massmat the bottom of the hill? How long must the friction patch be to make the box's speed 1/3 of what it was at the bottom of the hill if the coefficient of friction between the box and the patch is [tex]\mu[/tex]?

2. Relevant equations

Ek=1/2mv^2, Eg=mgh

3. The attempt at a solution

I've already solved the first part of the question in regards to the speed. For the first part, I got [tex]\sqrt{}2gh[/tex] as the answer for v2. However, I'm stuck at the second part. So far, the attempt is:

v1=0 h2=0

Et[tex]\neq[/tex] Ek

1/2mv1^2=1/2m(v2/3)^2

0=1/2m(v2/3)^2

And from then on, I don't really know what to do.

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# Homework Help: Grade 11 Physics: Solving for Distance with Friction, Energy, and Variables

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