Question

In a particular system, the unit of length, mass and time are chosen to be $10\text{cm}$,$10\text{gm}$ and $0.1\text{s}$ respectively. The unit of force in this system will be equivalent to

• A. $1/10\text{N}$
• B. $1\text{N}$
• C. $10\text{N}$
• D. $100\text{N}$

Answer 1

The correct option is A $1/10\text{N}$

We know,

$1N=\frac{1Kg\times 1m}{1-s^2}$
$1N=\frac{1000g\times 100cm}{1-s^2}$

$1N=\frac{100\times \left(10g\right)\times 10\times \left(10cm\right)}{10\times \left(0.1s\right)\times 10\times \left(0.1s\right)}$

$1N=10F_{new}$, where $F_{new}$ is the new unit of force.
$F_{new}=\frac{1}{10}N$