Newton's Second Law Explained - Learn the Basics

AI Thread Summary
Newton's Second Law emphasizes that multiple forces, including gravity and resistive forces, influence an object's motion. If only a resistive force proportional to velocity squared is present, an object initially at rest will not move. The discussion suggests that the initial velocity should not be zero for a more complex scenario. Clarification on the forces acting on the object is crucial for understanding its behavior. Overall, the conversation highlights the importance of considering all relevant forces in physics problems.
don_anon25
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Question answered! Thanks for the input!
 
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That resistive force is not the only force acting on the object (otherwise it'll just sit there). Don't forget gravity.
 
It moves along the x-axis...I forgot to mention that. So gravity is not taken into consideration?
 
If the object is initially at rest in a frame where the only force acting is proportional to velocity squared, then yes, it is obvious that the particle won't do anything. Somehow, I suspect that the question wan't meant to be that trivial.
 
I think that velocity to be v0, not zero. Otherwise, the problem is trivial. I just wanted to check and make sure I wasn't missing anything :smile:
 
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Thread 'Help with Time-Independent Perturbation Theory "Good" States Proof'

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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