(a) $1\,\mathrm{kg}\,\mathrm{m}^{2}\,\mathrm{s}^{-2}=1\times10^{3}\,\mathrm{g}\,(10^{2}\,\mathrm{cm})^{2}\,\mathrm{s}^{-2}$ $=10^{7}\,\mathrm{g}\,\mathrm{cm}^{2}\,\mathrm{s}^{-2}$(b) We know, 1 light year $= 9.46 \times 10^{15}\,\mathrm{m}$ $\therefore\; 1\,\mathrm{m} = \frac{1}{9.46 \times 10^{15}}$ light year $$< br>$=1.057 \×10^{-16} \ {ly}=10^{-16} \ {ly}$< br>(c)$3 \ {ms}^{-2}=3 × 10^{-3} \ {km}\ (\ {1}{60 × 60} \ {h}\ )^{-2}$< br>$=3.888 \× 10^{4} \ {km} \ {h}^{-2}$< br>$=3.9 × 10^{4} \ {km} \ {h}^{-2}$< br>(d)$G=6.67 \× 10^{-11} {Nm}^{2} \ {kg}^{-2}$< br>$=6.67 \× 10^{-11} (\ {kg} \ {m} \ {s}^{-2}\ ) \ {m}^{2} \ {kg}^{-2}$< br>$=6.67 \× 10^{-11} \ {m}^{3} \ {s}^{-2} \ {kg}^{-1}$< br>$=6.67 \× 10^{-11}(100 \ {cm})^{3} \ {s}^{-2}(1000 \ {g})^{-1}$< br>$=6.67 \× 10^{-8} \ {cm}^{3} \ {s}^{-2} \ {g}^{-1}$