The free fall acceleration on Mars, denoted by g_mars, is approximately 3.711 meters per second squared (m/s²). It represents the acceleration experienced by an object in free fall near the surface of Mars due to the pull of Martian gravity.

The formula to calculate the free fall acceleration is:

g_mars = G * M_mars / R_mars²

where:

G is the gravitational constant (approximately 6.674 × 10⁻¹¹ N·m²/kg²)

M_mars is the mass of Mars (approximately 6.4171 × 10²³ kg)

R_mars is the average radius of Mars (approximately 3,396 kilometers or 3.396 × 10⁶ meters)

Plugging in the values, we get:

g_mars = (6.674 × 10⁻¹¹ N·m²/kg²) * (6.4171 × 10²³ kg) / (3.396 × 10⁶ m)²

Calculating the result, we find that the free fall acceleration on Mars is approximately 3.711 m/s².