What kind of work A will be performed by the forces of the gravitational field when a body with a mass of m = 2 kg

What kind of work A will be performed by the forces of the gravitational field when a body with a mass of m = 2 kg falls to the Earth: 1) from an altitude of h = 1000 km; 2) from infinity?

Given: m (body weight) = 2 kg; h1 = 1000 km (106 m); h2 = ∞.

Constants: G = 6.67 * 10 ^ -11 m3 / (kg * s2); Rz = 6356863 m; M = 5.97219 * 10 ^ 24 kg.

1) Fall from a height of h1 = 106 m: A1 = m * (G * M / R2 – G * M / R1) = m * G * M * (1 / Rz – 1 / (Rz + h1)) = 2 * 6.67 * 10 ^ -11 * 5.97219 * 10 ^ 24 * (1/6356863 – 1 / (6356863 + 10 ^ 6)) ≈ 17 * 10 ^ 6 J (17 MJ).

2) Fall from a height h2 = ∞: A2 = m * G * M * (1 / Rz – 1 / (Rz + ∞)) = 2 * 6.67 * 10 ^ -11 * 5.97219 * 10 ^ 24 * (1/6356863 – 0) ≈ 125.3 * 10 ^ 6 J (125.3 MJ).