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Q. If the unit of force is $1$ kilo newton, the length is $1 \,km$ and time $100\, s$, what will be the unit of mass?

AMUAMU 2008

Solution:

Let $x kg$ be unit of mass, then
$F =(x kg )^{1}(1000\, m )^{1}(100 \,s )^{-2} $
$1000 =x \times 1000 \times \frac{1}{10000}$
$x =10000\, kg$
$x =10^{4} kg$