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Question
Taking force, length and time to be the fundamental quantities, find the dimensions of energy.
Solution
Energy
\[= \frac{1}{2}m v^2 = \frac{\text{ force}}{\text{acceleration}} \times \left( \text{velocity}\right)^2\]
\[\therefore \left[ \text{Energy} \right] = \frac{\left[ F \right]}{\left[ {LT}^{- 2} \right]} \times \left[ {LT}^{- 1} \right]^2 = \left[ FL \right]\]
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