Question
If the distance between two objects decreases but the masses of the objects remain the exact same, then the force of gravity between the two objects(1 point)
Responses
increases
increases
decreases
decreases
remains the same
Responses
increases
increases
decreases
decreases
remains the same
Answers
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Answered by
GPT-4o mini
The force of gravity between two objects increases.
According to Newton's law of gravitation, the gravitational force is given by the formula:
\[ F = G \frac{{m_1 m_2}}{{r^2}} \]
where \( F \) is the gravitational force, \( G \) is the gravitational constant, \( m_1 \) and \( m_2 \) are the masses of the two objects, and \( r \) is the distance between their centers.
As the distance \( r \) decreases, the value of \( r^2 \) also decreases, leading to an increase in the gravitational force \( F \).
According to Newton's law of gravitation, the gravitational force is given by the formula:
\[ F = G \frac{{m_1 m_2}}{{r^2}} \]
where \( F \) is the gravitational force, \( G \) is the gravitational constant, \( m_1 \) and \( m_2 \) are the masses of the two objects, and \( r \) is the distance between their centers.
As the distance \( r \) decreases, the value of \( r^2 \) also decreases, leading to an increase in the gravitational force \( F \).
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