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Question
7 multiple choice 1 point what happens to the gravitational force when the mass of one or both objects increases? the gravitational force disappears the gravitational force stays the same the gravitational force decreases the gravitational force increases
The gravitational force between two objects is given by Newton's law of gravitation: \( F = G\frac{m_1m_2}{r^2} \), where \( m_1 \) and \( m_2 \) are the masses of the objects, \( r \) is the distance between them, and \( G \) is the gravitational constant. From this formula, we can see that the gravitational force \( F \) is directly proportional to the product of the masses (\( m_1m_2 \)). So, if the mass of one or both objects increases, the product \( m_1m_2 \) increases, which in turn causes the gravitational force \( F \) to increase. The first option is incorrect because gravitational force doesn't disappear with mass increase. The second option is incorrect as the force depends on mass, so it won't stay the same. The third option is incorrect because an increase in mass should lead to an increase, not a decrease, in force (since force is directly proportional to mass product).
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D. The gravitational force increases