Question

Derive an expression of kinetic energy of a body of mass m and moving with velocity v using dimensional analysis.

Answer 1

we know that k is depending on mass and velocity then k =

Answer 2

Think about a collection of mass "m" moving with an underlying speed "u".

A steady power "F" follows up on it and the speed changes to "v". Give "s" a chance to be the separation secured and "a" be the steady increasing speed.

We realize that v² - u² = 2as s = We realize that, Work done = Force(F) × relocation (s) F = mama W = mama × ["a" gets dropped ] W = m × = m[v² - u² ] = mv².