Particle Motion on a Potential Energy Curve

AI Thread Summary
A particle with a mass of 3.0 kg is moving along the x-axis, where its potential energy varies. At x = 8.5 m, the particle's velocity is 2.273 m/s. The problem requires calculating the particle's speed at x = 14.0 m using energy conservation principles. The participant is struggling to solve the problem, indicating issues with interpreting the potential energy curve provided in the figure. Assistance is requested to clarify the correct approach to find the speed at the specified position.
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Homework Statement




A particle of mass m = 3.0 kg moves along the x-axis through a region in which its potential energy U(x) varies as shown in the Figure. When the particle is at x = 8.5 m, its velocity is 2.273 m/s.


http://i118.photobucket.com/albums/o...yfe42/phys.gif

D.) What is its speed at x = 14.0 m ?

Homework Equations



ET= mgh+.5mv^2

The Attempt at a Solution



I keep getting it wrong, can someone gear me to the right direction?
 
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The figure is not working, at least not for me.
 

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