Change in Momentum from mass contribution to the moving object

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    Initial velocity
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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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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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