Question

If velocity, time and force were chosen as basic quantities, find the dimensions of mass.

Concept of Physics - 1 , HC VERMA , Chapter "Introduction to Physics"

Answer 1

Hello Dear.

By Newton's Second Law of the Motion, 
    Force = Mass × Acceleration.

Also, Acceleration = Change in Velocity/Time

∴ Force = Mass × [Velocity/Time]
⇒ Mass = Force × Time/Velocity

∴ Dimension of the Mass = FTV⁻¹. 


Hence, the Dimension of the Mass, if the velocity, time and force were chosen as the basic Quantities is FTV⁻¹.



Hope it helps.