Motion with variable mass
A spherical raindrop of radius a, falls from rest under gravity. It falls through a stationary cloud so that, because of condensation, its radius increases with time at a constant rate k. Find the distance fallen by the raindrop after time t.
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A spherical raindrop of radius a, falls from rest under gravity. It falls through a stationary cloud so that, because of condensation, its radius increases with time at a constant rate k. Find the distance fallen by the raindrop after time t
Let the radius of the drop at time t be r
The rate of increase of the radius is given by
As the initial radius is a and it increases ...
Solution Summary
The radius of a raindrop increases as it falls under gravity. The distance covered by the drop is calculated by setting and solving the differential equation. Fully explained.