Question

Dimensional formula for kinetic energy

Answer 1

Dear Student

Kinetic energy = $\frac{1}{2}m{v}^2$
where, m is mass and v is velocity
So,
dimensional formula of Mass = M¹L^oT^o
dimensional formula of Velocity = M^oL¹T^-1

Placing the two in equation, we get (constants are not included) -
Dimensional formula of Kinetic Energy = (M¹L^oT^o) x (​M^oL¹T^-1)² = ​M¹L^oT^o x ​M^oL²T^-2
= M¹L²T^-2

S.I. Unit of Kinetic Energy is Joule (J).

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