Question

Why the acceleration due to gravity of the earth is more than of the moon?

Answer 1

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Earth's average surface gravity is about 9.8 meters per second per second. ... The Moon's surface gravity is weaker because it is far less massive than Earth. A body's surface gravity is proportional to its mass, but inversely proportional to the square of its radius...

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Answer 2

The acceleration due to gravity of the earth is more than that of the moon because the moon has a lesser mass than the earth.

• Gravity is a force by which a planet or object draws other objects towards its centre.
• According to Newton's Universal law of Gravitation,

F = G$\frac{m_{1} m_{2} }{r^{2} }$, where F = gravitational force of the object

• This means that the gravitational force of an object is directly proportional to the mass of the object and inversely.
• Hence, the lesser the mass of an object is, the lesser the gravitational force it exerts over other bodies.
• Considering that the moon has very less mass as compared to the earth, the acceleration due to the gravity of the moon is less than that of the earth.
• It is known that the acceleration due to gravity of the moon is approximately a mere 1/6th of the acceleration due to gravity of the earth.

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