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Problem 6.2 A raindrop is falling through fog and is picking up tiny water droplets as it falls. (a) Justify that the rate of change of mass of the raindrop is proportional to r²v, where r is the radius of the raindrop and v is its down- wards velocity. (b) Prove that the acceleration of the drop is g/7. (Ignore air resistance.)

Problem 6.2 A raindrop is falling through fog and is picking up tiny water droplets as it falls. (a) Justify that the rate of change of mass of the raindrop is proportional to r²v, where r is the radius of the raindrop and v is its down- wards velocity. (b) Prove that the acceleration of the drop is g/7. (Ignore air resistance.)

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Problem 6.2 A raindrop is falling through fog and is picking up tiny water droplets as it falls. (a) Justify that the rate of change of mass of the raindrop is proportional to rv, where r is the radius of the raindrop and v is its down- wards velocity. (b) Prove that the acceleration of the drop is g/7. (Ignore air resistance.)
Transcribed Image Text:Problem 6.2 A raindrop is falling through fog and is picking up tiny water droplets as it falls. (a) Justify that the rate of change of mass of the raindrop is proportional to rv, where r is the radius of the raindrop and v is its down- wards velocity. (b) Prove that the acceleration of the drop is g/7. (Ignore air resistance.)
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