Classical Mechanics Acceleration under force F=-K/x^2

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SUMMARY

The discussion centers on a classical mechanics problem involving a particle of mass m subjected to a force F=-K/x^2, where K is a positive constant. The particle is released from rest at position x=R and the objective is to determine the velocity as a function of x and the time taken to reach the origin. Participants emphasize the necessity of providing detailed calculations to facilitate assistance, as incomplete information hinders problem-solving efforts.

PREREQUISITES
  • Understanding of classical mechanics principles, particularly Newton's laws of motion.
  • Familiarity with force functions and their implications on particle motion.
  • Knowledge of integration techniques and the use of integral tables.
  • Ability to analyze velocity and acceleration in relation to position.
NEXT STEPS
  • Study the derivation of velocity functions from force equations in classical mechanics.
  • Learn about the application of integral tables for solving motion problems.
  • Explore the implications of singularities in force functions on particle motion.
  • Review examples of similar problems involving variable forces and their solutions.
USEFUL FOR

Students of physics, particularly those studying classical mechanics, educators seeking problem-solving techniques, and anyone interested in the dynamics of motion under variable forces.

macphysics
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Here's a classical mechanics problem I'm having some trouble with:
A particle of mass m moves on the positive x-axis under the influence of a force F=-K/x^2, where K is a positive constant. The particle is released from rest at x=R at time 0. Find the velocity as a function of x as it accelerates towards the origin. Find the time at which it reaches the origin (you may need integral tables).

The problem that I'm having is that the function that I get isn't defined at either x=R, or at x=0. Any help would be appreciated!
 
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macphysics said:
Here's a classical mechanics problem I'm having some trouble with:
A particle of mass m moves on the positive x-axis under the influence of a force F=-K/x^2, where K is a positive constant. The particle is released from rest at x=R at time 0. Find the velocity as a function of x as it accelerates towards the origin. Find the time at which it reaches the origin (you may need integral tables).

The problem that I'm having is that the function that I get isn't defined at either x=R, or at x=0. Any help would be appreciated!
Hello macphysics. Welcome to PF !

Show what your result is and how you got it.

We can't help much without more details, and the rules of this forum forbid us from providing you with a solution, even if we were so motivated.
 

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