Potential Energy and upper limits

[umdece4]

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

 

[collinsmark]

Hello umdece4,

Welcome to Physics Forums!

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 )?

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