Help with Potential Energy Curve questionby Caps1394 Tags: kinetic energy, limits, physic help, potential energy 

#1
Jan2312, 02:00 PM

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 860. 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 K_{e}=1/2MV^{2} 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 



#2
Jan2312, 02:26 PM

HW Helper
P: 3,394

What does the derivative or slope on the graph represent? That should give you a good start!




#3
Jan2312, 04:22 PM

P: 6

That was easy enough!
But about the limits. Would the lower and upper limits be the points where the particle oscillates between? 



#4
Jan2312, 07:14 PM

Emeritus
Sci Advisor
HW Helper
PF Gold
P: 7,423

Help with Potential Energy Curve question 



#5
Jan2312, 08:14 PM

HW Helper
P: 3,394

"Would the lower and upper limits be the points where the particle oscillates between?"
Yes. This part is a bit complicated but your use of "oscillates" indicates you know what is going on. Kind of like an atom in the potential well of a molecule. Just a matter of calculating the energy it has and using the graph, I think. 


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