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

A spherical raindrop falling through fog or mist accumulates mass due to condensation at a rate proportional to its cross-sectional area multiplied by the velocity.
a. Calculate the acceleration of the raindrop in terms of its radius and velocity. The raindrop starts from rest and has almost zero size.
b. If a terminal velocity of 10 m/s is reached at a raindrop radius of 1 mm, find the proportionality constant for the increase in the raindrop'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 1 mm?

Expert Solution

genius_generous answered 2 years ago

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