QUESTION IMAGE
Question
choose the best option for the blank. the force of gravity is ______ between celestial objects that are farther apart. choose 1 answer: a weaker b stronger
To solve this, we recall Newton's law of universal gravitation, which states that the gravitational force \( F \) between two objects is given by \( F = G\frac{m_1m_2}{r^2} \), where \( G \) is the gravitational constant, \( m_1 \) and \( m_2 \) are the masses of the objects, and \( r \) is the distance between their centers. As the distance \( r \) (between celestial objects) increases, the denominator \( r^2 \) increases, so the gravitational force \( F \) decreases. Thus, the force of gravity is weaker between celestial objects that are farther apart.
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A. weaker