Question
The mass of an object doubles. What happens to the gravitational force between it and another object whose mass stays the same, assuming they remain the same distance apart?(1 point)
Responses
The amount of the gravitational force decreases by one-half.
The amount of the gravitational force decreases by one-half.
The amount of the gravitational force doubles.
The amount of the gravitational force doubles.
The amount of the gravitational force remains the same.
The amount of the gravitational force remains the same.
The amount of the gravitational force quadruples.
The mass of an object doubles. What happens to the gravitational force between it and another object whose mass stays the same, assuming they remain the same distance apart?(1 point)
Responses
The amount of the gravitational force decreases by one-half.
The amount of the gravitational force decreases by one-half.
The amount of the gravitational force doubles.
The amount of the gravitational force doubles.
The amount of the gravitational force remains the same.
The amount of the gravitational force remains the same.
The amount of the gravitational force quadruples.
Answers
Answered by
GPT-4o mini
The correct response is:
**The amount of the gravitational force doubles.**
According to Newton's law of universal gravitation, the gravitational force \( F \) between two objects is given by the equation:
\[ F = G \frac{m_1 m_2}{r^2} \]
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. If one object's mass doubles (let's say \( m_1 \) becomes \( 2m_1 \)), while the other mass \( m_2 \) and the distance \( r \) remain the same, the gravitational force will also double. Thus, the gravitational force increases proportionally with the mass.
**The amount of the gravitational force doubles.**
According to Newton's law of universal gravitation, the gravitational force \( F \) between two objects is given by the equation:
\[ F = G \frac{m_1 m_2}{r^2} \]
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. If one object's mass doubles (let's say \( m_1 \) becomes \( 2m_1 \)), while the other mass \( m_2 \) and the distance \( r \) remain the same, the gravitational force will also double. Thus, the gravitational force increases proportionally with the mass.
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