Question

In a particular system the units of length, mass and time are chosen to be $10$ cm, $10$ g, and $0.1$ s respectively. The units of force in this system will be equal to ?

• A. $0.1N$
• B. $1N$
• C. $10N$
• D. $100N$

Answer 1

The correct option is A $0.1N$

$1newton=1kgm/s^2$
$1kg={10}^{3}and1m={10}^{2}cm$

$1N=\frac{\left({10}^{3}g\right)\left({10}^{2}cm\right)}{s^2}$
$1N=\frac{100\times \left(10g\right)\times 10\left(10cm\right)}{100\times (0.1s{)}^2}$
$=10\times \frac{\left(10g\right)\left(10cm\right)}{(0.1s{)}^2}$
$1N=10\times Newunitofforce$
Thus, New unit $=1/10=0.1N$