What is the difference between momentum and kinetic energy?

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SUMMARY

The discussion clarifies the fundamental differences between momentum and kinetic energy. Momentum, defined as the product of mass and velocity (p = mv), is conserved in collisions, while kinetic energy, expressed as W = mv²/2, is not necessarily conserved. The conversation highlights that momentum is a vector quantity, possessing both magnitude and direction, whereas kinetic energy is a scalar quantity, having only magnitude. The participants emphasize the importance of understanding impulse as the change in momentum, which is distinct from energy considerations.

PREREQUISITES
  • Understanding of Newton's Second Law of Motion
  • Familiarity with the concepts of impulse and momentum
  • Basic knowledge of kinetic energy and its formula
  • Ability to differentiate between scalar and vector quantities
NEXT STEPS
  • Study the work-energy theorem and its applications in physics
  • Explore the conservation laws in physics, focusing on momentum and energy
  • Learn about Compton scattering and its relation to momentum
  • Investigate real-world examples of momentum transfer in collisions
USEFUL FOR

Students of physics, educators explaining mechanics, and anyone interested in understanding the principles of momentum and kinetic energy in physical systems.

  • #61


"mv = d/dt (1/2 mv^2)"

Do you mean...

mv = d/dv (1/2 mv^2) ??

wouldn't d/dt (1/2 mv^2) = mv(dv/dt) ?
 

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