Explore BrainMass
Share

Motion with variable mass

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

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.

https://brainmass.com/physics/newtons-second-law/motion-variable-mass-587927

Solution Preview

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.

\$2.19