Dimensional formula of kinetic energy

Kinetic energy
[M L2 T−2]
Written in full: [M¹ L² T⁻² A⁰ K⁰]

How to derive it

Kinetic energy = ½ × Mass × Velocity²

Put in the dimensions of each part: [M] × [LT⁻¹]² = [M L² T⁻²].

mass (M)
1
length (L)
2
time (T)
-2
current (A)
0
temperature (K)
0

SI unit

The SI unit of kinetic energy is joule (J).

Same dimensions as kinetic energy

These quantities have exactly the same dimensions, a favourite trick in JEE and NEET "which pair has the same dimensions" questions:

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More from Work, energy and power

QuantityFormula
Power[M L2 T−3]
Energy density[M L−1 T−2]