# A Particle Moving In One Dimension

Not what you're looking for?

A particle of mass m moves in one dimension along the positive x axis. It is acted on by a constant force directed toward the origin with magnitude B, and an inverse square law repulsive force with magnitude A/x^2.

a) Find the potential energy function U(x)

b) Sketch the energy diagram for the system when the maximum kinetic energy is Ko=(1/2)mVo^2.

c) Find the equilibrium position Xo.

d) What is the frequency of small oscillation about Xo?

##### Purchase this Solution

##### Solution Summary

The solution is comprised of a detailed explanation for the behavior of a particle moving in one dimension acted on by various forces.

##### Solution Preview

Here is a brief explanation about how to do each part of the problem. See the attached file for details on each step.

a) To solve for U(x), we must integrate the force equation over the variable x (see attached)

When we did the integration from part a), we are left with a constant of integration. We ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.

##### Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

##### Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

##### Basic Physics

This quiz will test your knowledge about basic Physics.

##### Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.