Question

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

CLASS - XI PHYSICS (Physical World & Measurement)

Answer 1

we know that,
f=ma
=> m=f/a
=>  m=fv/t -> 1
since S.I unit of mass is N-M/S³
dimenson of mass is (NLT⁻³)

Answer 2

Velocity=distance/time    dimension of velocity=LT-1     Force=mass x accelaration   accelaration =velocity/time     dimension of accelaration=LT-1/T =LT-2                   Force=mass x accelaration    mass=force/accelaration   dimension of     mass=dimensionofforce/dimension of accelaration  =MLT-2/ LT-2=M                      DIMENSION OF MASS=M