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A spherical raindrop falling through fog or mist accumulates mass due to condensation at a rate proportional...

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Physics

A spherical raindrop falling through fog or mistaccumulates mass due to condensation at a rateproportional to its cross-sectional area multiplied by thevelocity.
a. Calculate the acceleration of the raindrop in terms of itsradius and velocity. The raindrop starts from rest and has almostzero size.
b. If a terminal velocity of 10 m/s is reached at a raindrop radiusof 1 mm, find the proportionality constant for the increase in theraindrop's mass with velocity.
c. find the relationship between the raindrop radius, r,and the height dropped, y. [Hint: v =dy/dt]
d. How far does the raindrop fall as it grows to a size of 1mm?

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