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

Explanation

we know that
`"Force" ="mass" xx "acceleration"`
`="mass" xx("velocity")/("time")`
`"mass" =("force"xx "time")/("velocity")`
`["mass"]=(["force"xx "time"])/(["velocity"])`
`=([F][T])/([v])`
`["mass"]=[FTv^(-1)]`
Dimensions of energy are same an the dimensions of kinetic energy
`["Energy" ]=[(1)/(2)mv^(2)]=[m][v]^(2)`
`=[FTv^(-1)][v]^(2)`
`=[FTv]`