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

AI Thread Summary
The discussion revolves around calculating the time it takes for a particle to reach a force center from a distance d, given the force relation F=-mk^2/x^3. The original poster struggles to find relevant equations to solve the problem. A suggestion is made to apply Newton's second Law and consider the conservation of energy, specifically the potential energy at the initial position. Ultimately, the poster resolves the issue after considering the provided clues. The conversation highlights the importance of energy conservation in solving dynamics problems.
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 enrgy at the initial position
 
figured it out, thanks though
 
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Thread 'Help with Time-Independent Perturbation Theory "Good" States Proof'

(Disclaimer: this is not a HW question. I am self-studying, and this felt like the type of question I've seen in this forum. If there is somewhere better for me to share this doubt, please let me know and I'll transfer it right away.) I am currently reviewing Chapter 7 of Introduction to QM by Griffiths. I have been stuck for an hour or so trying to understand the last paragraph of this proof (pls check the attached file). It claims that we can express Ψ_{γ}(0) as a linear combination of...
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