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Question
Taking force, length and time to be the fundamental quantities, find the dimensions of momentum.
Solution
Momentum = mv = (force/acceleration) × velocity
\[\text{ Acceleration }= \left[ {LT}^{- 2} \right] \text{ and } \text{ velocity }= \left[ {LT}^{- 1} \right]\]
\[\therefore \left[\text{ Momentum }\right] = \frac{\left[ F \right]}{\left[ {LT}^{- 2} \right]} \times \left[ {LT}^{- 1} \right] = \left[ FT \right]\].
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