Q: It is proposed to define newton (N) as the force between two masses of 1 kg each separated by a distance of 1 m. what would be the value of gravitational constant G ?
(a) 100 Nm2 kg-2
(b) 10 Nm2 kg^-2
(c) 1000 Nm2 kg-2
(d) 1 Nm2 kg-2
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Ans: (d)
Sol: $\displaystyle F = G \frac{m_1 m_2}{r^2} $
$\displaystyle G = \frac{F r^2}{m_1 m_2} $
$\displaystyle G = \frac{1 N \times (1 m)^2}{1 kg \times 1 kg} $
G = 1 Nm2 kg-2