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Question
how does the distance between two objects affect the force between them? the force increases as the distance increases. the force decreases as the distance increases. the force stays the same regardless of distance. the force depends only on the mass of the objects, not the distance.
According to the law of universal gravitation \( F = G\frac{m_1m_2}{r^{2}} \) (where \( F \) is the gravitational force between two objects, \( G \) is the gravitational constant, \( m_1 \) and \( m_2 \) are the masses of the two objects, and \( r \) is the distance between their centers of mass), when the distance \( r \) between two objects increases, the force \( F \) decreases. This inverse - square relationship shows that force and distance are related in a way that an increase in distance leads to a decrease in force.
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The force decreases as the distance increases.