B Conservation of momentum and conservation of energy details

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The discussion centers on the principles of conservation of momentum and energy in the context of a ball dropped from a height. It clarifies that conservation of mechanical energy does not hold during inelastic collisions, as kinetic energy is transformed into internal energy, while momentum is conserved when considering both the ball and the Earth as a system. The conversation also addresses the misconception that momentum can be zero after a collision, explaining that the Earth's movement, although minimal, ensures momentum conservation. Additionally, it discusses scenarios for energy conservation, emphasizing that mechanical energy is conserved in elastic collisions but not in inelastic ones. Overall, the principles of momentum and energy conservation are upheld when correctly analyzing the involved systems.
  • #31
Rather than focus on "forces", it might be better to focus on the
"transfer of momentum [from one object to another]"...
one object gaining momentum ##\Delta \vec p_1\stackrel{Newton2nd}{=} \Delta \vec p_{1\mbox{ from 2}}##
because the other object transferred momentum to it: ##\Delta \vec p_{2\mbox{ from 1}} \stackrel{Newton3rd}{=} - \Delta \vec p_{1\mbox{ from 2}}## .

Yes, it deals with the impulse and the time-integral of the force...
but, as others have tried to emphasize,
it's more than a formula, a "change", or a sign.
It's about what object is applying the force (the source of the force.. source of the momentum-transfer)
and what object is receiving that force (the target of the force.. target of the momentum-transfer).
Think of it as an accounting problem.
 
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