Question

If the unit of force is $1$ KN, unit of length is $1$ Km and the unit of time is $100$ s in a- new system, then the new unit of mass is :

• A. $1000$ kg
• B. $1$ kg
• C. $10,000$ kg
• D. $100$ kg

Answer 1

The correct option is C $10,000$ kg

$Force=M^1{L}^1{T}^{-2}$

$1000N=\left(kg\right)\times \frac{\left(1000\right)mt}{(100{)}^2{s}^2}$

$Mass\left(Kg\right)=\frac{1000\times (100{)}^2}{1000}=10000kg$