Question

Calculate the magnitude of the acceleration due to gravity on the surface of Earth due to the Moon.

a) 1.51 × 10⁶ , {m/s}²
b) 2.70 × 10⁶ , {m/s}²
c) 3.92 × 10⁶ , {m/s}²
d) 5.18 × 10⁶ , {m/s}²

Answer 1

The magnitude of the acceleration due to gravity on the surface of Earth due to the Moon is approximately 1.51 × 10^6 m/s².

Step-by-step explanation:

The magnitude of the acceleration due to gravity on the surface of Earth due to the Moon can be calculated using the formula:

g = G * (m_Moon / r^2)

where G is the gravitational constant (6.67 × 10^-11 N·m²/kg²), m_Moon is the mass of the Moon, and r is the distance from the center of Earth to the center of the Moon (3.84 × 10^8 meters). Plugging in the values, we get:

g = 6.67 × 10^-11 * (7.35 × 10^22 kg / (3.84 × 10^8)^2)

g ≈ 1.51 × 10^6 m/s²