Question

Calculate the gravitational force between two metal spheres of masses 50 kg and 100 kg respectively and the separation between their centres is 50 cm.

Answer 1

Given; m₁ = 50kg; m₂ = 100kg;
r = 50cm = 50 × 10^-2 m ; F = ?;
G = 6.67 × 10^-11 Nm²kg^-2
The magnitude of gravitational force,
F = \(G \frac{m_{1} m_{2}}{r^{2}}\)
= 6.67 × 10^-11 × \(\frac{50 \times 100}{50 \times 50 \times 10^{-4}}\)
= 13.34 × 10^-7 n
or F = 1.334 × 10^-6N