To determine which image shows objects that are exerting more gravitational force on each other, we can use Newton's law of universal gravitation, which states that the gravitational force \( F \) between two objects is given by the formula:
\[ F = G \frac{m_1 m_2}{r^2} \]
where \( G \) is the gravitational constant, \( m_1 \) and \( m_2 \) are the masses of the two objects, and \( r \) is the distance between their centers.
In this case, we can compare the gravitational forces in both images based solely on mass since we are not provided with any distance values:
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Image A: One ball has a mass of 10 kg and the other has a mass of 1 billion kg (1,000,000,000 kg). \[ F_A = G \frac{10 \times 1,000,000,000}{r^2} \]
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Image B: One ball has a mass of 10 kg and the other has a mass of 2 billion kg (2,000,000,000 kg). \[ F_B = G \frac{10 \times 2,000,000,000}{r^2} \]
Now, comparing the two forces:
- \( F_A = G \frac{10 \times 1,000,000,000}{r^2} \)
- \( F_B = G \frac{10 \times 2,000,000,000}{r^2} \)
Since \( 2,000,000,000 \) is greater than \( 1,000,000,000 \), it follows that: \[ F_B > F_A \]
Therefore, Image B shows objects that are exerting more gravitational force on each other.
So the best response is:
Image B.
1 answer