Potential Energy and upper limits

AI Thread Summary
The discussion revolves around a physics problem involving a particle with mass 3.0 kg moving along the x-axis, where its potential energy varies. Key questions include determining the force acting on the particle at a specific position, identifying the lower and upper limits of its movement, and calculating its speed at x = 14.0 m. Participants suggest using relevant equations related to energy and force, emphasizing the conservation of energy principle as a potential solution approach. The conversation highlights the importance of understanding energy relationships in solving the problem effectively.
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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/o95/blazinlyfe42/phys.gif

A.) What is the magnitude of the force that acts on the particle at this position?

B.) The particle will move in a limited region along the x axis. What is the lower limit of this region?

C.) What is the upper limit of this region?

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

Homework Equations





The Attempt at a Solution



I honestly don't know where to begin
 
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Hello umdece4,

Welcome to Physics Forums!

umdece4 said:
I honestly don't know where to begin

Start by stating some relevant equations. Do you know of an equation which gives a relationship between energy and force (where energy might be in the form of potential energy, kinetic energy, or work. Distance might be involved in this equation too :wink:)?

"Conservation of energy" law could help in this problem as well.
 

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