Question

What will be the gravitational force of attraction between two balls each weighing 5kg, when placed at a distance of 0.33m a part

Answer 1

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,

`F=(Gm_1m_2)/(r^2)`

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.

`F=(Gm_1m_2)/(r^2)\\= ((6.67*10^-^1^1Nm^2kg^-2)(5kg)^2)/((0.33m)^2) \\ =1.53*10^-^8N`

The gravitational force of attraction between the two balls is found to be 1.53×10⁻⁸N.