Prove that $1 \text{ N} = 10^{5} \text{ dynes}$.

(N/A) $1 \text{ N} = 1 \text{ kg} \times 1 \text{ m s}^{-2}$
Since $1 \text{ kg} = 1000 \text{ g}$ and $1 \text{ m} = 100 \text{ cm}$,we substitute these values:
$1 \text{ N} = 1000 \text{ g} \times 100 \text{ cm s}^{-2}$
$1 \text{ N} = 100,000 \text{ g cm s}^{-2}$
Since $1 \text{ dyne} = 1 \text{ g cm s}^{-2}$,we get:
$1 \text{ N} = 10^{5} \text{ dynes}$.