Mapertius's Principle and 2nd Newton's law

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    Newton's law
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SUMMARY

The discussion focuses on deriving the second Newton's law from Mapertius's Principle in the context of perfectly elastic collisions and free fall acceleration. The user reports consistently obtaining a coefficient of 2 in their final calculations, indicating a potential misunderstanding or misapplication of the principles involved. The conversation aims to clarify the derivation process and identify the source of the discrepancy in the calculations.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with Mapertius's Principle
  • Knowledge of perfectly elastic collisions
  • Basic concepts of free fall acceleration
NEXT STEPS
  • Review the derivation of Newton's second law using Mapertius's Principle
  • Study the mechanics of perfectly elastic collisions in detail
  • Examine examples of free fall acceleration and its mathematical implications
  • Explore common pitfalls in physics calculations related to coefficients
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Physics students, educators, and anyone interested in the application of classical mechanics principles, particularly in the context of collisions and motion analysis.

MP97
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Hi, I have been working on deriving the second Newton's law from the Mapertius principle applied to a perfectly elastic collision from a free fall acceleration problem. These are my calculations, but I keep getting a coefficient of 2 in my final answer for some reason. Could someone explain to me what I am doing wrong?

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I appreciate any help you can provide!
 

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