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

A 2-kg particle is acted upon by a force given by F = -100x, where F is in Newtons, while being influenced by a constant nonconservative force of 50 N. The object is released from rest at x = 5.0 m. Estimate how far the particles moves before it comes to a stop.

2. Relevant equations

W = [tex]\Delta[/tex]K + [tex]\Delta[/tex]U + Q

dW = F dx

3. The attempt at a solution

Since velocity = 0 when the object stops, I did:

W = 50*x

[tex]\int[/tex] -100x dx = 50*x

The boundaries for integration are from 5 to x. Which leads to:

-50x^2 + 50(5)^2 = 50*x

When I solve for x, though, the answer isn't right, so obviously I did something wrong. Any hinters on what? I have a feeling it's because they're asking for how far the particle moved and not just the x location, but how would I go about finding that?

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# Homework Help: Work and Potential Energy Question

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