The gravitational force exerted by the moon on objects is directly related to its mass; since the moon’s mass is less than Earth’s, it exerts a weaker gravitational force.
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The moon exerts a lesser force of attraction on objects because its mass is less than that of the Earth.
The weight of an object on the moon is defined as the force with which the moon attracts that object.
The weight of an object on Earth is determined by the force with which the Earth attracts the object.
The weight of an object is the force with which it is attracted towards the earth, which is calculated as the product of its mass and the acceleration due to gravity (F = m . g).