Question

DEAR EXPERT
CONVERT

1. 10G WEIGHT TO NEWTON
2. 1G/CM³TO KG/M³

Answer 1

Dear Student,

$$\begin{gathered} \left(1\right)10\mathrm{g}\mathrm{weight}\mathrm{to}\mathrm{Newton}: \\ 1\mathrm{N}=0.1\mathrm{kg} \\ 1\mathrm{kg}=1000\mathrm{g} \\ 0.1\mathrm{kg}=100\mathrm{g} \\ \mathrm{which}\mathrm{means} \\ 100\mathrm{g}=1\mathrm{N} \\ 10\mathrm{g}=\frac{1}{100}\times 10\mathrm{N} \\ 10\mathrm{g}=0.1\mathrm{N} \\ \left(2\right)1\mathrm{g}/{\mathrm{cm}}^3\mathrm{to}\mathrm{kg}/{\mathrm{m}}^3: \\ 1\mathrm{g}=\frac{1}{1000}\mathrm{kg} \\ 1\mathrm{cm}=\frac{1}{100}\mathrm{m} \\ 1{\mathrm{cm}}^3=\frac{1}{{10}^6}{\mathrm{m}}^3 \\ 1\mathrm{g}/{\mathrm{cm}}^3=\frac{{\displaystyle \frac{1}{1000}}}{\frac{1}{{10}^6}}\mathrm{kg}/{\mathrm{m}}^3 \\ 1\mathrm{g}/{\mathrm{cm}}^3={10}^3\mathrm{kg}/{\mathrm{m}}^3 \end{gathered}$$