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

A 30.0 kg particle is initially at x=0 and has a velocity of 5.50 m/s. It encounters a position-dependent net force F(x) described by the graph shown (the graph continues indefinitely in the manner shown past x=20.0 m).

Diagram:

http://img137.imageshack.us/img137/9502/forcegraph.jpg [Broken]

A.) How fast is the particle moving at x = 3.00 m?

I have already obtained an answer of v = 5.95m/s and it is correct

This is what I would like help for:

B.) How far does the particle travel along the x-axis before being brought to rest by the force? (Note: The answer is not 8 m or 20 m. You may safely assume for simplicity that the final position is greater than 8 m.)

2. Relevant equations

Wtotal=0.5mvf^2 - 0.5mvi^2

W=F*deltaX

3. The attempt at a solution

Wtotal = 0.5(30)(0)^2 - 0.5(30)(5.95)^2 = -453.75J

So does xf=Wtotal/slope of graph (F) ?

xf=-453.75J/-4 ?

Am I doing this correct?

THANKS!

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