The gravitational force between two identical objects at a separation of 1m is 0.06667 mg-wt. Find the mass of each object
(`G = 6.67 xx 19^(-11) Nm^(2)//kg^(2)` and `g = 10m//s^(2)`)

Explanation

Give that r = 1m, `F = 0.0667 xx 10^(-6) xx 10 N` and Let `m_(1) = m_(2) = m`.
The gravitational force `F = (Gm_(1)m_(2))/(r^(2))`
`0.0667 xx 10^(-6) xx 10 = 6.67 xx 10^(-11) xx (m^(2))/(1^(2))`
`rArr m = 100 kg`