What Is the Time for a Particle to Reach the Force Center from Distance d?

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Homework Help Overview

The discussion revolves around a particle's motion under a specific force relation, where the force is inversely proportional to the cube of the distance from a center of force. The original poster seeks to determine the time it takes for the particle to reach the force center from a given distance.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the application of Newton's second law and the conservation of energy as potential approaches to the problem. The original poster expresses difficulty in finding relevant equations.

Discussion Status

The discussion includes attempts to guide the original poster towards relevant principles, with some participants suggesting the use of Newton's second law and energy conservation. The original poster later indicates they have resolved the issue independently.

Contextual Notes

The original poster mentions a specific force relation and seeks to express the time in terms of distance and a constant, indicating a focus on the mathematical relationships involved. There is a hint of constraints related to the initial conditions of the particle's motion.

mushupork5
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I can't seem to figure this one out.
A particle at rest is attracted to a center of force by the relation
F=-mk^2/x^3
what is the time it takes for the particle to get to the force center from a distance d in terms of d and k?

I can't seem to find any equations that will help me out on this one. Thanks PF
 
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I would like to point you towards Newtons second Law.
 
the clue i was given is that energy is constant and equal to the potential energy at the initial position
 
figured it out, thanks though
 

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