dimensional analysis (energy)

Question

The dimensions of energy are represented by?

RankGuru · Accepted Answer

1. **Definition**: Energy is the capacity to do work. Work is defined as force multiplied by displacement in the direction of the force ($W = F \cdot s$).
2. **Dimension of Force**: Force $= 	ext{mass} 	imes 	ext{acceleration} = [M] 	imes [LT^{-2}] = [MLT^{-2}]$.
3. **Dimension of Work/Energy**:
   - $[Energy] = [Force] 	imes [Length]$
   - $[Energy] = [MLT^{-2}] 	imes [L] = [ML^2T^{-2}]$.
4. **Universal Truth**: All forms of energy (Kinetic, Potential, Heat, etc.) have the same dimensions: **$[ML^2T^{-2}]$**.

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dimensional analysis (energy)

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