# Find the force of gravity acting on a body weighing 2 kg on the moon.

June 30, 2021 | education

| The force of gravity that acts on a body weighing 2 kg on the moon:

Fт = m * g, where m is the body mass (m = 2 kg), g is the acceleration of gravity.

Free fall acceleration on the lunar surface:

g = G * M / R², where G is the gravitational constant (G = 6.67 * 10-11 m³ / (kg * s²)), M is the mass of the Moon (M = 7.35 * 1022 kg), R is the radius Moon (R = 1737.1 km = 1737100 m).

Gravity:

Fт = m * g = m * G * M / R² = 2 * 6.67 * 10-11 * 7.35 * 1022/17371002 = 3.25 N.

Answer: The force of gravity is 3.25 N.