Newton's Second Law
Category : JEE Main & Advanced
(1) The rate of change of linear momentum of a body is directly proportional to the external force applied on the body and this change takes place always in the direction of the applied force.
(2) If a body of mass m, moves with velocity \[\vec{v}\] then its linear momentum can be given by\[\vec{p}=m\vec{v}\] and if force \[\overset{\to }{\mathop{F}}\,\] is applied on a body, then
\[\vec{F}\propto \frac{d\vec{p}}{dt}\Rightarrow F=K\frac{d\vec{p}}{dt}\]
or \[\vec{F}=\frac{d\vec{p}}{dt}\] (K = 1 in C.G.S. and S.I. units)
or \[\vec{F}=\frac{d}{dt}(m\vec{v})=m\frac{d\vec{v}}{dt}=m\vec{a}\]
(As \[a=\frac{d\vec{v}}{dt}=\]acceleration produced in the body)
\[\therefore \] \[\vec{F}=m\vec{a}\]
Force = mass ´ acceleration
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