Answer:
2.76×10^-3 m/s²
Step-by-step explanation:
You want to know the acceleration of the moon toward the Earth, given its distance is 3.8×10^8 meters, Earth's mass is 5.98×10^24 kg, and the gravitational constant is 6.673×10^-11 N·m²/kg².
The acceleration of one body by another is ...
a = GM/r²
where G is the gravitational constant, M is the body creating the gravitational field, and r is the distance between the masses.
a = (6.673×10^-11)(5.98×10^24)/(3.8×10^8)² N/kg
a = (6.673·5.98/3.8²)×10^(-11+24-16) m/s² ≈ 2.76×10^-3 m/s²
