Sir Isaac Newton discovered that any two masses m, and m, attract each other with a force that is equal in magnitude and acts in the opposite direction, according to the relationship: Gm, m, F = r2 where F = attractive force (N) G= Universal Gravitational Constant m, = mass of particle – 1 (kg) m, = mass of particle – 2 (kg) r – distance between the center of each particle (m) What are the appropriate units for G, if the preceding equation is to be homogeneous in units?

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter18: Mathematics In Engineering
Section: Chapter Questions
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Sir Isaac Newton discovered that any two
masses m, and m, attract each other with
a force that is equal in magnitude and acts
in the opposite direction, according to the
relationship:
Gm, m,
F =
r2
where
F = attractive force (N)
G= Universal Gravitational Constant
m, = mass of particle – 1 (kg)
m, = mass of particle – 2 (kg)
r – distance between the center
of each particle (m)
What are the appropriate units for G, if the
preceding equation is to be homogeneous in
units?
Transcribed Image Text:Sir Isaac Newton discovered that any two masses m, and m, attract each other with a force that is equal in magnitude and acts in the opposite direction, according to the relationship: Gm, m, F = r2 where F = attractive force (N) G= Universal Gravitational Constant m, = mass of particle – 1 (kg) m, = mass of particle – 2 (kg) r – distance between the center of each particle (m) What are the appropriate units for G, if the preceding equation is to be homogeneous in units?
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