Drive the expression for the second law of motion F= ma ?
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Newton’s second law of motion states that the force exerted by a body is directly proportional to the rate of change of its momentum. For a body of mass ‘m’, whose velocity changes from u to v in time t, when force ‘F’ is applied.
F∝
Time
Changeinmomentum
F∝
t
mv−mu
F∝m(
t
v−u
)
⇒F∝ma⇒F=kma(∵a=
t
v−u
)
⇒F=ma(∵k=constant=1)
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In equation form, Newton's second law of motion is a=Fnetm a = F net m . This is often written in the more familiar form: Fnet = ma. The weight w of an object is defined as the force of gravity acting on an object of mass m. ... If the only force acting on an object is due to gravity, the object is in free fall.
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