If the unit of force ware kilonewton, that of time millisecond and that of power kilowatt, what would be the units of mass and length?

Answer

`1kg ; 10^(-3)`

Explanation

Here,`F = M^1 L^1 T^(-2) =1kN = 1000N …..(i)`
`T = T^1 = 1 ms = 10^(-3)s …(ii)`
`P = ML^2 T^(-3) =1 kW = 1000W …….(iii)`
`(F)/(T) = M^1 L^1 T^(-3) = (1000)/(10^(-3)) = 10^6 Ns^(-1) ….(iv)`
Divide (iii) by (iv)
`(ML^2T^(-3))/(MLT^(-3)) = (1000)/(10^6) = 10^(-3) or L = 10^(-3)m`
Put values of L & T in (i)
`M(10^(-3))(10^(-3))^(-2) = 10^3`
:. M =1kg