Question

The dimensional formula for impulse is _______.

Answer 1

Impulse:

1. Impulse can be defined as the term used to quantify the effect of force acting over a short interval of time to change the momentum of an object.
2. Mathematically, $Impulse=Force\times Time$
3. It is represented by the symbol J and is usually expressed in Newton seconds or $kgm{s}^{-1}$.
4. Dimensional Formula of Impulse:
   As we know that the dimensional formula of force and time are $\left[ML{T}^{-2}\right]$ and $\left[T\right]$ respectively
   Putting these in the formula of impulse, we get:
   $$\begin{gathered} \left[Impulse\right]=\left[Force\right]\times \left[Time\right] \\ \Rightarrow \left[Impulse\right]=\left[ML{T}^{-2}\right]\times \left[T\right] \\ \Rightarrow \left[Impulse\right]=\left[ML{T}^{-1}\right] \end{gathered}$$

Thus, the dimensional formula for impulse is $\left[ML{T}^{-1}\right]$.