Question

Which image shows objects that are exerting less gravitational force on each other?

(1 point)
Responses

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.
There is not enough information provided to answer the question.
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Answer 1

If the mass of a planet is cut in half, how would the force of gravity between that planet and the Sun change?(1 point)
Responses

The force of gravity would not change
The force of gravity would not change

The force of gravity would increase four times
The force of gravity would increase four times

The force of gravity would double
The force of gravity would double

The force of gravity would decrease

Answer 2

To determine which image shows objects that are exerting less gravitational force on each other, we would need to consider the mass of the objects and the distance between them, as gravitational force is influenced by both of these factors according to Newton's law of gravitation.

If Image A shows smaller masses or a greater distance between the objects compared to Image B, then the objects in Image A would be exerting less gravitational force on each other. Conversely, if Image B has larger masses or is closer together, they would exert more gravitational force.

Since I cannot see the images, I recommend you analyze the mass and distance of the objects in each image based on the guidelines above. If you can summarize the content of the images, I can help you make a more informed decision.

Answer 3

According to Newton's law of universal gravitation, the gravitational force \( F \) between two masses 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 (in this case, the planet and the Sun),
- \( r \) is the distance between the centers of the two masses.

If the mass of the planet is cut in half, the new gravitational force \( F' \) can be expressed as:

\[
F' = G \frac{(m_1/2) m_2}{r^2} = \frac{1}{2} G \frac{m_1 m_2}{r^2} = \frac{1}{2} F
\]

This shows that the gravitational force would decrease by half when the mass of the planet is cut in half.

Therefore, the correct answer is: **The force of gravity would decrease.**