If force [F], acceleration [A] and time [T] are chosen as the fundamental physical quantities, find the dimensions of energy:
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Question

If force [F], acceleration [A] and time [T] are chosen as the fundamental physical quantities, find the dimensions of energy:

G1 Physics · Accepted Answer

Step 1: Let [E]=[F]ᵅ[A]ᵝ[T]ᵞ. Step 2: Using [E]=[M L² T⁻²], [F]=[M L T⁻²] and [A]=[L T⁻²], comparison gives α=1, β=1 and γ=2. Step 3: Thus [E]=[F][A][T²]. Final: Option B.