Answer:
1020 m/s
Explanation:
The moon is in the earth's orbit, meaning it is in free fall. Its centripetal acceleration is equal to the acceleration due to gravity.
v² / r = GM / r²
v² = GM / r
v = √(GM / r)
G is the universal gravitational constant, M is the mass of the earth, and r is the distance from the earth's center to the moon's center.
G = 6.67×10⁻¹¹ m³/kg/s²
M = 5.97×10²⁴ kg
r = 3.84×10⁸ m
v = √( (6.67×10⁻¹¹) (5.97×10²⁴) / (3.84×10⁸) )
v = 1020 m/s
