Question 7: Find the dimensions of kinetic energy.

Answer

The expression for kinetic energy is given by

To find the dimensions of K-E on the left, we should find the dimensions on right.

Dimensions for m = [M]

As v is measured in ms^{-1}, therefore, dimensions of v = [L]/ [T]

Therefore, dimensions on RHS = [M][L^{2}]/[T^{2}] = [ML^{2}T^{-2}] —– (Z)

= Dimensions on LHS

Thus, equation (Z) gives the dimensions of KE.

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