Physics, asked by sandra2357, 1 year ago

Check the correctness of formula v² = u² + 2as by using dimensional analysis.

Answers

Answered by goyoolka
7
Dimensional formula for 'v' is LT^-1
So, 'v^2' will be L^2T^-2

Dimensional formula for 'u' is LT^-1
So, 'u^2' will be L^2T^-2

Dimensional formula for 's' is L
Dimensional formula for 'a' is LT^-2
2 is dimensionless
So, 'as' will be (L)(LT^-2) = L^2T^-2

By the principle of homogenity of dimensions, quantities can be added if and only if all of their dimensions are equal.

v^2 = u^2 + 2as

⇒ L^2T^-2 = L^2T^-2 + L^2T^-2

The formula v^2 = u^2 + 2as follows the priciple of homogenity of dimensions. So, the equation is dimensionaly correct.
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