Question

Write down the units and dimensional formulae of following physical quantities:
$Impulse=force\times time$

Answer 1

Units and dimensional formula of impulse:

1. Impulse can be defined as a term that is used to quantify the effect of a force acting over a particular time to change the momentum of an object.
2. Mathematically, it can be given as $Impulse=Force\times Time$
3. So, the SI unit of impulse = SI unit of Force $\times$ SI unit of Time = $N\times s$
4. Dimensional formula of impulse:
   $$\begin{gathered} Impulse=force\times time \\ \left[Impulse\right]=\left[ML{T}^{-2}\right]\times \left[T\right] \\ =\left[ML{T}^{-1}\right] \end{gathered}$$

Thus, the unit of impulse is $Newtonmetre,i.e.,Nm$ and its dimensional formula is $\left[ML{T}^{-1}\right]$.