Two long barges are moving in the same direction in still water,one with a speed

Question

Two long barges are moving in the same direction in still water,one with a speed of 13 km/h and the other with a speed of 18 km/h.While they are passing each other, coal is shoveled from the slowerto the faster one at a rate of 770 kg/min. How much additionalforce must be provided by the driving engines of(a) the faster barge and (b) theslower barge if neither is to change speed? Assume that theshoveling is always perfectly sideways and that the frictionalforces between the barges and the water do not depend on the massof the barges.

Explanation / Answer

(a)     in the given problem we consider what musthappen to the coal that lands on the faster barge during one minute(t =     60 s)     in that time a total of m = 770 kg of coal mustexperience a change of velocity     v = 18 km / h - 13 km / h          = ........ m /s    here we consider the rightwards is positivedirection    the rate of change in momentum for the coal is    p / t = m v / t               = ......... N (b)     the problem states that the frictional forcesacting on the barges does not depend on the mass so the loss ofmass from     the slower barge does not affect its motion

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