The gravitational field at the Moon in N/kg due to the Earth is approximately (G = 6.67 × 10-11 N m2/kg2, the mass of the Earth is 5.98 × 1024 kg, and the distance to the Moon is 3.85 × 108 m)

F = 2.69 10⁻³ m   [ N]

Explanation:

This exercise asks to calculate the gravitational field of the Earth on the lunar surface, let's use the universal gravitation law

          F = G m M / r²

where m is the mass of the body, M the mass of the Earth and r the distance between the Earth and the Moon

         F = (G M / r²) m

         F = (6.67 10⁻¹¹ 5.98 10²⁴ / (3.85 10⁸)² ) m

         F = 2.69 10⁻³ m   [ N]

This force is directed from the Moon towards the Earth, therefore it reduces the weight of the body

trig 15.3 cos