danielatha4
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"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) ?
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.
PREREQUISITESStudents of physics, educators explaining mechanics, and anyone interested in understanding the principles of momentum and kinetic energy in physical systems.