Answer :
The acceleration due to gravity on the moon ,which has the radius 1.74×10⁶ m and mass 7.35×10²² Kg is 1.63 m/s² .
The Acceleration due to gravity is defined as the acceleration of the freely falling bodies due to force of attraction of other body .
it is given that , the radius of the moon is(R) = 1.74×10⁶ m ;
the mass of the moon is(M) = 7.35×10²² Kg ;
we know that the gravitational constant is = 6.67×10⁻¹¹ Nm²/Kg² ;
the formula is :
g = GM/R²
g = (6.67×10⁻¹¹)(7.35×10²²)/(1.74×10⁶)²
g = 4.90×10¹²/3×10¹²
g = 1.63 m/s²
Therefore , the acceleration due to gravity on the moon is 1.63 m/s² .
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