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I am giving below an example of
gravitational attraction based on the Newton's law
which explains mathematically: |
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Where
is the mass of one body,
that of the other, r the
distance between their centers, G
the constant of gravitation and
F the force with which the
bodies attract each other. |
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In fig. 1,
consider six similar cubes of matter lying side by side and each having
their mass equal to m grams and sides equal to 1 cm
each. |
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According to
the law of gravitational attraction the force of attraction between 5 and 6,
4 and 6, 3 and 6, 2 and 6 and 1 and 6 will be as under: |
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The cubes 1
to 5 are touching each other and can be considered as a single block A-B of
1X5X1 cms with its mass equal to 5 m. The force of attraction between the
block A-B and cube 6 will be as under: |
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We know that the F should be equal to
Therefore, |
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Or
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Or 1.46 = 0.56 |
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This shows that the gravitational
formula is not perfect in the mathematical form also. |
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