Stoke's law and its applications

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Stoke's law describes the relationship between the retarding force and velocity, exemplified by a falling raindrop. Initially, the raindrop accelerates due to gravity, but as its velocity increases, the retarding forces of viscosity and buoyancy also increase. When these forces equal the gravitational force, the net force becomes zero, resulting in constant velocity. The discussion clarifies that while acceleration is zero, a body in motion will continue to move at a constant velocity. Understanding this principle is essential for grasping the behavior of objects under the influence of opposing forces.
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Homework Statement




Stoke's law states that retarding force is proportional to velocity. An example is falling rain drop in air.
My book states that " if a rain drop falls, it accelerates initially due to gravity. As the velocity increases, the retarding force force also increases. Finally, when viscous force plus buoyant force becomes equal to force due to gravity, the net force becomes zero and so does the acceleration.
The rain drop then descends with a constant velocity

Homework Equations





The Attempt at a Solution


My question is, if acceleration is zero, how the rain drop would move with constant velocity?
 
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Acceleration is the rate of change of velocity with time. If acceleration is zero, how can the velocity change?
 
So, even if there is no acceleration, a body will move. Am I interpreted right?
Thanks for the reply Mr. Dick
 
logearav said:
So, even if there is no acceleration, a body will move. Am I interpreted right?
Thanks for the reply Mr. Dick

If a body is a rest and there is no acceleration, it will not start moving. If body is moving at velocity v and there is no acceleration then it will continue moving at velocity v.
 
I got it now. Thanks a lot Mr. Dick
 
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