Question

Calculate the acceleration due to gravity on the moon. the moon's radius is 1.74x10^6m and its mass is 7.35x10^22kg.

Answer 1

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

Answer 2

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