Answer:
The Dimension of mass is [F T v⁻¹] and Dimension of energy is [F T v]
Explanation:
(i) We know that,
Force = mass × acceleration
= mass × velocity/time
⇒ mass = force × time ÷ velocity
or. [mass] = [force] [time] ÷ [velocity]
= [F] [T] ÷ [v]
∴ [mass] = [F T v⁻¹]
(ii) Dimensions of energy are same as the dimensions of kinetic energy
∴ Energy = [ ½mv²] = [m] [v]²
= [F T v⁻¹] [v]²
Energy = [F T v]
Thus, The Dimension of mass is [F T v⁻¹] and Dimension of energy is [F T v]
-TheUnknownScientist
