Impulse-Momentum Theorem
Impulse is a quantity that is closely related to momentum. When an object has a momentum \[\vec{p_{1}} \], and a force is applied for an amount of time, the momentum can change to a new value \[\vec{p_{2}} \] . The impulse-momentum theorem states that the impulse is equal to this change in momentum. Impulse is a vector, with both a value and a direction, and is represented by the symbol \[\vec{j} \] . Momentum is equal to the mass times the velocity of an object (\[\vec{p}=m\vec{v} \]). The unit of impulse is the Newton-second,Ns , which is equivalent to kg.m/s.
impulse=(final momentum)-(initial momentum)
\[\vec{j}=\vec{p_{2}}-\vec{p_{1}} \]
\[\vec{j}= m\vec{v_{2}}-m\vec{v_{1}} \]
\[\vec{j}= m\left (\vec{v_{2}}-\vec{v_{1}} \right ) \]
\[\vec{j} \] = impulse (N.s, or Kg.m/s )
\[\vec{p_{2}} \]= final momentum (Kg.m/s)
\[\vec{p_{1}} \]= initial momentum (Kg.m/s)
m = mass of the object (Kg)
\[\vec{v_{2}} \] = final velocity (m/s)
\[\vec{v_{1}} \] = initial velocity (m/s)
Let value of \[\vec{v_{1}} \] = I and \[\vec{v_{2}} \] = F
