if the unit of force were kilonewton,that of time milisecond and that of power kilowatt,what would be the units of mass and lenth?

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Question

if the unit of force were kilonewton,that of time milisecond and
that of power kilowatt,what would be the units of mass and
lenth?

Kranav Sharma · Accepted Answer

Given: F â†’ kN = 103 N t â†’ Milli seconds = 10â€“3s P â†’ kw = 103 W Mass (m) =? Length (L) = ? $Using power = \frac{Energy}{Time} = \frac{Forcer × Displacement}{Time} {Or, 10}^{3} W = \frac{10^{3} N × L}{10^{- 3} s} {Or, L = 10}^{- 3} m L = mm$ Now, Force = mass Ã— acceleration, m Ã— a $m \times \frac{v}{t} = \frac{m d}{t \times t} = \frac{m d}{t^{2}}$ Here, d = L $So, F = \frac{m L}{d^{2}} {Or, 10}^{3} N = \frac{m 10^{- 3} m}{(10^{- 3})^{2}} Or, m = kg$ So, the unit of mass is â€“ kg Unit of length â€“ mm (millimeters)