With what force does the Earth attract a handle weighing 50 g?

To determine the required force of attraction by the Earth of a given handle, we apply the formula: F = G * (m * Mz) / (Rz + h) ^ 2.

Constants and variables: G – gravitational constant (G = 6.67 * 10 ^ -11 m3 / (kg * s2)); m – handle weight (m = 50 g = 0.05 kg); Mz is the mass of the Earth (Mz = 5.9726 * 10 ^ 24 kg); Rz – the average radius of the Earth (Rz = 6371 * 10 ^ 3 m); h is the distance between the handle and the surface of the Earth (we take h = 0 m).

Calculation: F = G * (m * Mz) / (Rz + h) ^ 2 = 6.67 * 10 ^ -11 * (0.05 * 5.9726 * 1024) / (6371 * 10 ^ 3) ^ 2 = 0.49 N.