Undergrad Change in Momentum from mass contribution to the moving object

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The discussion centers on the application of Newton's second law in scenarios involving variable mass systems, specifically when mass enters or leaves a system with or without initial velocity. Participants express concerns about the common expression of the law, highlighting that it can lead to confusion, particularly regarding the definition of force and its invariance across different reference frames. The conversation also touches on the implications of mass changes in both Newtonian and relativistic contexts, with a consensus that the concept of "relativistic mass" is outdated and can complicate understanding. Ultimately, the focus remains on clarifying how to properly apply the principles of momentum and force in systems where mass is not constant. The importance of maintaining clarity in the definitions and applications of these physical laws is emphasized throughout the discussion.
  • #61
A.T. said:
In this particular case, with no relative velocity, no force is needed to accelerate the added mass to the velocity of the cart on addition.
until the moment the element of mass enters the cart. After the addition this element of mass ##dm## will produce its effect on the way the whole system reponds to the constant force.
 
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  • #62
It seems that now is a good time to close this thread. The OPs question has been answered and not much else can be added.
 
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