The velocity of 1kg and 2 kg mass when separation becomes 5m is 1.334 x 10⁻¹¹ m/s and 6.67 x 10⁻¹² m/s respectively.
The gravitational force between the masses is determined as follows;
[tex]F = \frac{Gm_1m_2}{r^2} \\\\F = \frac{(6.67 \times 10^{-11}) (1)(2)}{10^2} \\\\F = 1.334 \times 10^{-12} \ N[/tex]
a = F/m
a₁ = (1.334 x 10⁻¹²) / (1)
a₁ = 1.334 x 10⁻¹² m/s²
a₂ = (1.334 x 10⁻¹²) / (2)
a₂ = 6.67 x 10⁻¹³ m/s²
v = u + 2ad
v₁ = u₁ + 2a₁d
v₁ = 0 + 2( 1.334 x 10⁻¹² )(5)
v₁ = 1.334 x 10⁻¹¹ m/s
v₂ = u₂ + 2a₂d
v₂ = (0) + 2(6.67 x 10⁻¹³)(5)
v₂ = 6.67 x 10⁻¹² m/s
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