Question

select the model that shows the stars with the strongest gravitational force between them.

Explanation:

Step1: Recall the formula for gravitational force

The formula for gravitational force is \( F = G\frac{m_1m_2}{r^2} \), where \( G \) is the gravitational constant, \( m_1 \) and \( m_2 \) are the masses of the two objects, and \( r \) is the distance between them.

Step2: Analyze the effect of mass and distance

From the formula, we can see that the gravitational force is directly proportional to the product of the masses (\( m_1m_2 \)) and inversely proportional to the square of the distance (\( r^2 \)).

Step3: Compare the models

In the first model, the distance is moderate. In the second model, the distance is larger. In the third model, the distance is the smallest. Since the masses are the same in all models (\( 1M_0 \) and \( 2M_0 \)), the model with the smallest distance will have the strongest gravitational force.

Answer:

The third model (the one with the smallest distance between the stars) shows the stars with the strongest gravitational force between them.