1. Tardigrade
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  4. G =6.67 × 10-11 Nm 2 kg -2= cm 3 s -2 g -1.

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Q. $G =6.67 \times 10^{-11} Nm ^{2} kg ^{-2}= $ ___ $ cm ^{3} s ^{-2} g ^{-1}$.

Physical World, Units and Measurements

Solution:

$G=6.67 \times 10^{-11} Nm ^{2} kg ^{-2}$
$=6.67 \times 10^{-11}\left( kg \, ms ^{-2}\right) m ^{2} kg ^{-2}$
$=6.67 \times 10^{-11} \,kg ^{-1} m ^{3} s ^{-2}$
$=6.67 \times 10^{-11} \,kg ^{-1} m ^{3} s ^{-2} \times\left[\frac{1 kg }{10^{3} g }\right] \times\left[\frac{100 cm }{1 m }\right]^{3}$
$=6.67 \times 10^{-11} \times \frac{10^{6}}{10^{3}}=6.67 \times 10^{-8} \,cm ^{3} s ^{-2} g ^{-1}$