Question

obtain the value of gravitational constant in cgs system from its si system

Answer 1

$$\begin{gathered} \mathbf{Gravitational}\mathbf{}\mathbf{constant}\mathbf{}\mathbf{in}\mathbf{}\mathbf{SI}\mathbf{}\mathbf{system}\mathbf{:} \\ \mathrm{G}=6.674\times {10}^{-11}{\mathrm{m}}^3{\mathrm{kg}}^{-1}{\mathrm{s}}^{-2} \\ \mathbf{Conversion}\mathbf{}\mathbf{into}\mathbf{}\mathbf{cgs}\mathbf{}\mathbf{system}\mathbf{:} \\ \mathrm{G}=6.674\times {10}^{-11}{\mathrm{m}}^3{\mathrm{kg}}^{-1}{\mathrm{s}}^{-2} \\ =6.674\times {10}^{-11}{\mathrm{m}}^3{\mathrm{kg}}^{-1}{\mathrm{s}}^{-2}\times \frac{{10}^6{\mathrm{cm}}^3}{1{\mathrm{m}}^3}\times \frac{1{\mathrm{g}}^{-1}}{{10}^3{\mathrm{kg}}^{-1}} \\ \mathbf{=}\mathbf{6}\mathbf{.}\mathbf{674}\mathbf{\times }{\mathbf{10}}^{\mathbf{-}\mathbf{8}}\mathbf{}{\mathbf{cm}}^{\mathbf{3}}\mathbf{}{\mathbf{g}}^{\mathbf{-}\mathbf{1}}{\mathbf{s}}^{\mathbf{-}\mathbf{2}} \end{gathered}$$