Showing Momentum and Kinetic Energy In Terms of a Singular Formula

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SUMMARY

The discussion centers on deriving a singular formula that expresses both momentum (p) and kinetic energy (K) using the equations K = 1/2 mv2 and p = mv. The participants emphasize the challenge of simplifying these equations into one cohesive formula. The conversation highlights the need for a clear understanding of the relationships between mass (m), velocity (v), and their respective contributions to kinetic energy and momentum.

PREREQUISITES
  • Understanding of classical mechanics principles
  • Familiarity with the equations for kinetic energy and momentum
  • Basic algebraic manipulation skills
  • Knowledge of mass and velocity concepts
NEXT STEPS
  • Research the derivation of the relationship between kinetic energy and momentum
  • Explore advanced algebra techniques for simplifying equations
  • Study the implications of mass and velocity in different physical contexts
  • Learn about conservation laws in physics related to momentum and energy
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in the mathematical relationships between momentum and kinetic energy.

joedozzi
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Homework Statement



physics2.jpg
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Homework Equations



K= 1/2 mv12 + 1/2mv22
p= m1v1 +m2v2

The Attempt at a Solution



I have pages and pages of trying to simplify/work backwards and nothing is working!
 
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joedozzi said:
I have pages and pages of trying to simplify/work backwards and nothing is working!
Please post at least the first five lines of an attempt.
 

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