Physics

Problem

The universal gravitational constant has the value

G = 6.67\times10^{-11}\,\text{N}\,\text{m}^{2}\,\text{kg}^{-2}

. Answer the following. a. (i) Write the dimensional formula of

G

. b. (ii) Convert the given value of

G

into the CGS system (dyn\,

\text{cm}^{2}\,\text{g}^{-2}

). c. (iii) By what factor does the numerical value of

G

change in going from SI to CGS units? Comment on whether the number increases or decreases and why.