The force of gravitational attraction between the two masses is 1.53×10⁻⁸N.
Newton's law of gravitation gives an expression to determine the magnitude of the attractive force between two masses m₁ and m₂ placed at a distance r apart from each other.
The force F is given by,
[tex]F=\frac{Gm_1m_2}{r^2}[/tex]
Substitute 6.67×10⁻¹¹Nm²kg⁻²² for G, the universal gravitational constant, 5 kg for both m₁ and m₂ and 0.33 m for r.
[tex]F=\frac{Gm_1m_2}{r^2}\\= \frac{(6.67*10^-^1^1Nm^2kg^-2)(5kg)^2}{(0.33m)^2} \\ =1.53*10^-^8N[/tex]
The gravitational force of attraction between the two balls is found to be 1.53×10⁻⁸N.
