# Potential energy curve, turning points

• J-dizzal
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
J-dizzal

## 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

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.

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.

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.

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