7. A cylindrical capsule can move inside a long vertical cylindrical tube filled with a viscous Newtonian liquid. Diameter of the capsule is slightly smaller than the inner diameter of the tube and walls of the capsule have negligible thickness. Drag force on the capsule is proportional to speed of the capsule. If the capsule is empty, it rises up with a uniform velocity v and if the capsule is completely filled with the liquid, it moves down with a uniform velocity U2. (a) Find expression of velocity of the capsule if n fraction of its volume is filled with the liquid. (b) How will the above relation change, if the n fraction of volume of the capsule is filled with another liquid, density of which is k times of that of the liquid in the tube?

7. A cylindrical capsule can move inside a long vertical cylindrical tube filled with a viscous Newtonian liquid. Diameter of the capsule is slightly smaller than the inner diameter of the tube and walls of the capsule have negligible thickness. Drag force on the capsule is proportional to speed of the capsule. If the capsule is empty, it rises up with a uniform velocity v and if the capsule is completely filled with the liquid, it moves down with a uniform velocity U2. (a) Find expression of velocity of the capsule if n fraction of its volume is filled with the liquid. (b) How will the above relation change, if the n fraction of volume of the capsule is filled with another liquid, density of which is k times of that of the liquid in the tube?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Entropy

In physics, entropy means the amount of disorder or the degree of randomness associated with a thermodynamic system. The system is not self-organized when the entropy of the system is high. For instance, when a system is at an elevated temperature, its molecules are in random motion, vibrating and colliding with each other. During this scenario, the probability of finding a molecule at a particular place twice, is low. Under this circumstance, the system can be said to be in a high entropy.

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17. A cylindrical capsule can move inside a long vertical cylindrical tube
filled with a viscous Newtonian liquid. Diameter of the capsule is
slightly smaller than the inner diameter of the tube and walls of the
capsule have negligible thickness. Drag force on the capsule is
proportional to speed of the capsule. If the capsule is empty, it rises up
with a uniform velocity v and if the capsule is completely filled with the
liquid, it moves down with a uniform velocity U2.
(a) Find expression of velocity of the capsule if n fraction of its volume is
filled with the liquid.
(b) How will the above relation change, if the n fraction of volume of the
capsule is filled with another liquid, density of which is k times of
that of the liquid in the tube?
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