# Help with Potential Energy Curve question

 P: 6 1. The problem statement, all variables and given/known data A conservative force F(x) acts on a 3.0 kg particle that moves along the x axis. The potential energy U(x) associated with F(x) is graphed in Figure 8-60. When the particle is at x = 3.0 m, its velocity is -1.0 m/s. The "kinks" in the graph occur at (1, -2.8), (4, -17.2), and (8.5, -17.2); and the endpoint is at (15, -2). (a) What are the magnitude and direction of F(x) at this position? Magnitude (b) Between what limits of x does the particle move? Lower limit and and upper limit (c) What is its speed at x = 7.0 m? 2. Relevant equations Ke=1/2MV2 3. The attempt at a solution I'm not even sure how to start this problem 1. The problem statement, all variables and given/known data 2. Relevant equations 3. The attempt at a solution
 HW Helper P: 3,394 What does the derivative or slope on the graph represent? That should give you a good start!
 P: 6 That was easy enough! But about the limits. Would the lower and upper limits be the points where the particle oscillates between?
Emeritus