Check the dimensional consistency of the equation, force = `"(Change in Momentum)"/"Time"`

Explanation

To check the dimensional consistency of the equation \( \text{Force} = \frac{\text{Change in Momentum}}{\text{Time}} \), we will analyze both sides of the equation and compare their dimensions.

### Step 1: Identify the dimensions of Force (LHS)
Force is defined as mass times acceleration. The dimensions of mass (M) are represented as \( [M] \), and the dimensions of acceleration are represented as \( [L T^{-2}] \) (since acceleration is the change in velocity over time, and velocity has dimensions of \( [L T^{-1}] \)).

Thus, the dimensions of Force can be expressed as:
\[
\text{Dimensions of Force} = [M][L T^{-2}] = [M L T^{-2}]
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