0.075 kg sphere is held at rest within a fluid. At t = 0, the mass is released and falls straight down, through the fluid. The fluid exerts a resistive force on the object that is proportinal to the object's speed. The terminal speed of the mass is found to be 2.50 m/s. a) What is the time constant of the system? b) After being released, how long does it take the mass to achieve a speed of 1.50 m/s? c) What resistive force acts on the mass at a time of 0.500s?

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter5: More Applications Of Newton’s Laws
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A 0.075 kg sphere is held at rest within a fluid. At t = 0, the mass is released and falls straight down, through the fluid. The fluid exerts a resistive force on the object that is proportinal to the object's speed. The terminal speed of the mass is found to be 2.50 m/s.

a) What is the time constant of the system?

b) After being released, how long does it take the mass to achieve a speed of 1.50 m/s?

c) What resistive force acts on the mass at a time of 0.500s?

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