Which image shows objects that are exerting more gravitational force on each other? (1 point) Responses Image A Image A Image B Image B They are exerting the same amount of force. They are exerting the same amount of force. There is not enough information provided to answer the question.

Image A shows a ball with 10 kilograms and another ball with 1 billion kilograms
Image B shows a ball with 10 kilograms and another ball with 2 billion kilograms

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
4 days ago

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:

- **Image : One ball has a mass of 10 kg and the other has a mass of 1 billion kg (1,000,000,000 kg).
\[
F_A = G \frac{10 \times 1,000,000,000}{r^2}
\]

- **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**.