A 200 µm spherical particle has been fixed to a spatula using super-glue and has been very slowly brought downward to a 5 nm (nanometre) separation distance with another spherical particle with the diameter of 100 µm which is free standing on a surface (Figure 2). If it the spatula is very slowly moved upward, determine if the 100 um particle can be lifted in this way. The density of both particles is 1200 kg/m³. The experiment is carried out in air. The Hamaker constant for both particles in air is 50 x 10-20J.
A 200 µm spherical particle has been fixed to a spatula using super-glue and has been very slowly brought downward to a 5 nm (nanometre) separation distance with another spherical particle with the diameter of 100 µm which is free standing on a surface (Figure 2). If it the spatula is very slowly moved upward, determine if the 100 um particle can be lifted in this way. The density of both particles is 1200 kg/m³. The experiment is carried out in air. The Hamaker constant for both particles in air is 50 x 10-20J.
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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Transcribed Image Text:A 200 µm spherical particle has been fixed to a spatula using super-glue
and has been very slowly brought downward to a 5 nm (nanometre)
separation distance with another spherical particle with the diameter of
100 um which is free standing on a surface (Figure 2). If it the spatula is
very slowly moved upward, determine if the 100 um particle can be lifted
in this way. The density of both particles is 1200 kg/m³. The experiment
is carried out in air. The Hamaker constant for both particles in air is
50 x 10-20J.
Spatula
200 um particle fixed to the spatula by super-glue
200 μm
Snm separation distance
between the two
100 um particle free standing on
a surface
100μη
particles
Figure 2: The schematic diagram for question 3b.
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