First law of motion contained in second law
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Newton's First Law of Motion states that a body will stay at rest or continue its path with constant velocity unless an external force acts upon it.
Newton's Second Law of Motion states that the net force that acts upon a body is equal to the mass of the body multiplied by the acceleration due to the net force. In other words,
F
net
=
m
a
.
Now, one can argue that Newton's Second Law of Motion leads to the First Law. Consider this: since
F
net
=
m
a
, with zero net force (no external forces),
0
=
m
a
.
Now,
m
is some finite positive value. In other words, this means that
a
=
0
. By definition, then, there is constant velocity (possibly constant zero velocity). Thus, it seems that Newton's Second Law of Motion leads to the First Law.
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