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Assume that a water droplet falling though a humid atmosphere gathers up mass at a rate that is proportional to its cross-sectional area A. Assume that the droplet starts from rest and that its initial radius Ro is so small that it suffers no resistive force. Show that (a) its radius and (b) its speed increase linearly with time.

Assume that a water droplet falling though a humid atmosphere gathers up mass at a rate that is proportional to its cross-sectional area A. Assume that the droplet starts from rest and that its initial radius Ro is so small that it suffers no resistive force. Show that (a) its radius and (b) its speed increase linearly with time.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Analytical Mechanics.

2.20 Assume that a water droplet falling though a humid atmosphere gathers up mass at a rate that is proportional to its cross-sectional area A. Assume that the droplet starts from rest and that its initial radius Ro is so small that it suffers no resistive force. Show that (a) its radius and (b) its speed increase linearly with time.
Transcribed Image Text:2.20 Assume that a water droplet falling though a humid atmosphere gathers up mass at a rate that is proportional to its cross-sectional area A. Assume that the droplet starts from rest and that its initial radius Ro is so small that it suffers no resistive force. Show that (a) its radius and (b) its speed increase linearly with time.
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