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A raindrop has a mass of 5.2 ×10^-7 kg and is falling near the surface of the earth. Calculate the magnitude of the gravitational force exerted (a) on the raindrop by the earth and (b) on the earth by the raindrop. | Numerade
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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
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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