Potential energy curve, turning points

This occurs at the turning points of the graph, where the particle changes direction and its kinetic energy is momentarily zero. In summary, the figure shows a plot of potential energy U versus position x of a 0.220 kg particle under the influence of a conservative force. The graph has values UA = 9 J, UC = 20 J, and UD = 24 J. At the starting point, the particle has kinetic energy 7.00 J and potential energy 12 J. The speed of the particle at x = 3.5 m is 0 m/s and at x = 6.5 m is 5.28 m/s. The turning point on the right side is at x = 2.5 m
  • #1
J-dizzal
394
6

Homework Statement


The figure shows a plot of potential energy U versus position x of a 0.220 kg particle that can travel only along an x axis under the influence of a conservative force. The graph has these values: UA = 9 J, UC = 20 J and UD = 24 J. The particle is released at the point where U forms a “potential hill” of “height” UB = 12 J, with kinetic energy 7.00 J. What is the speed of the particle at (a)x = 3.5 m and (b)x = 6.5 m? What is the position of the turning point on (c) the right side and (d) the left side?

http://edugen.wileyplus.com/edugen/courses/crs7165/art/qb/qu/c08/q40.jpg

Homework Equations


K=E-U

The Attempt at a Solution


I know the turning point is when K=0 but not sure how to find that from this graph.
 
Physics news on Phys.org
  • #2
J-dizzal said:
I know the turning point is when K=0 but not sure how to find that from this graph.
Kinetic energy is zero when the potential energy is equal to the total energy.
 

FAQ: Potential energy curve, turning points

1.

What is a potential energy curve and how is it related to turning points?

A potential energy curve is a graphical representation of the potential energy of a system in relation to its position or configuration. Turning points on a potential energy curve refer to the points where the potential energy is at a maximum or minimum value, indicating a change in direction of motion or equilibrium.

2.

How is the shape of a potential energy curve determined?

The shape of a potential energy curve is determined by the interplay between attractive and repulsive forces within a system. These forces can be described by mathematical equations and plotted to create the curve.

3.

What is the significance of turning points on a potential energy curve?

Turning points on a potential energy curve represent points of stability or instability for a system. At a maximum turning point, the system is at a state of equilibrium and any small perturbations will cause it to return to this point. At a minimum turning point, the system is at an unstable state and any small perturbations will cause it to move away from this point.

4.

How do potential energy curves relate to potential energy surfaces?

Potential energy curves and surfaces are both graphical representations of the potential energy of a system. However, curves are one-dimensional representations while surfaces are multi-dimensional representations. Potential energy curves are often used to analyze one-dimensional motion, while potential energy surfaces are used to analyze multi-dimensional motion.

5.

Can potential energy curves be used to predict the behavior of a system?

Yes, potential energy curves can be used to predict the behavior of a system. By analyzing the shape and location of turning points on a potential energy curve, we can determine the stability and equilibrium points of the system. This information can be used to make predictions about the system's motion and behavior.

Similar threads

Potential Energy and raising a satellite from Earth into a Circular Orbit
Replies
5
Views
2K
MIT OCW, 8.02 Electromagnetism: Potential for an Electric Dipole
Replies
1
Views
1K
Kinetic energy and work problem
Replies
3
Views
2K
PE, Work, object on inclined plane resting on a spring.
Replies
11
Views
1K
Change in potential energy of the particle
Replies
1
Views
2K
Why Potential Energy cannot be included twice?
Replies
4
Views
812
Kinetic Energy Plot: Find Speed & Turning Point
Replies
6
Views
8K
Capacitance (Potential Difference and Energy)
Replies
10
Views
10K
Time dependant Potential Energy in ion trap
Replies
1
Views
1K
Potential Energy and Equilibrium Position for a Circular Trajectory
Replies
2
Views
1K

Hot Threads

Recent Insights

Back
Top