Calculate the acceleration due to gravity on the moon. the moon's radius is 1.74x10^6m and its mass is 7.35x10^22kg.
Answers
radius of moon=1.7x (10)raise to 6 m
mass of moon=7.35x(10)raise to 22kg
G=6.67 x (10) raise to -11
g=?
r
relationsip between g and G
g=Gm/rxr
g=6.67x10 raise to -11x7.35x10 raise to22/1.7x10 raise 6m whole square
g=49.0245x10 raise to 11/2.89x10 raise to 12
g=16.963x10 raise to -1
Given,
Moon’s Radius = 1.74×10⁶ m
Mass of moon = 7.35x10²² kg
To find,
The Acceleration due to gravity
Solution,
We can simply solve this numerical problem by using the subsequent method
Now,
Moon’s Radius (r) = 1.74×10⁶ m
Mass of moon (m) = 7.35x10²² kg
Acceleration due to gravity (g) = ?
As we know that,
g = GM/r²
where,
g = Acceleration due to gravity (in m/s²), m = Mass, r = the distance from the center of mass of the large body & G = Universal gravitational constant (G = 6.673 x 10⁻¹¹ N·m²/kg²)
g = GM/r²
g = 6.673 x 10⁻¹¹ N·m²/kg² × 7.35×10²² kg / (1.74×10⁶ m)²
g = 1.620 m/s²
Therefore, Acceleration due to gravity on the moon is 1.620 m/s²