SOLVED:A Variable-Mass Raindrop. In a rocket-propulsion problem the mass is variable. Another such problem is a raindrop falling through a cloud of small water droplets. Some of these small droplets adhere to the raindrop, thereby increasing its mass as it falls. The force on the raindrop is Fext=(d p)/(d t)=m (d v)/(d t) v (d m)/(d t) Suppose the mass of the raindrop depends on the distance x that it has fallen. Then m=k x, where k is a constant, and d m / d t=k v. This gives, since Fext=m g, m
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