I Mapertius's Principle and 2nd Newton's law

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The discussion focuses on deriving the second Newton's law using the Mapertius principle in the context of perfectly elastic collisions and free fall acceleration. The original poster is encountering a persistent issue with obtaining a coefficient of 2 in their final calculations. Participants are asked to provide insights or explanations for this discrepancy. The conversation aims to clarify the application of principles and calculations involved in the derivation process. Assistance is sought to resolve the confusion surrounding the coefficient.
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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!
 
Thread 'Why higher speeds need more power if backward force is the same?'

Thread 'Why higher speeds need more power if backward force is the same?'

Power = Force v Speed Power of my horse = 104kgx9.81m/s^2 x 0.732m/s = 1HP =746W Force/tension in rope stay the same if horse run at 0.73m/s or at 15m/s, so why then horse need to be more powerfull to pull at higher speed even if backward force at him(rope tension) stay the same? I understand that if I increase weight, it is hrader for horse to pull at higher speed because now is backward force increased, but don't understand why is harder to pull at higher speed if weight(backward force)...
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