Question

newtons law of universal gravitation states that all objects in the universe are gravitationally attracted to each other. the gravitational force between two celestial objects depends on two factors: distance and mass. - the greater the distance between two objects, the weaker the gravitational force between them. - the greater the masses of the two objects, the stronger the gravitational force between them. each model below shows two stars of varying masses separated by the same distance. select the model that shows the stars with the strongest gravitational force between them.

Explanation:

Step1: Recall Gravitational Force Rule

The gravitational force between two objects (stars here) is stronger when their combined mass is greater (since distance is same for all models).

Step2: Calculate Combined Mass for Each Model

• First model: \(1M_\odot + 0.5M_\odot = 1.5M_\odot\)
• Second model: \(1M_\odot + 1M_\odot = 2M_\odot\)
• Third model: \(1M_\odot + 2M_\odot = 3M_\odot\)

Step3: Compare Combined Masses

The third model has the largest combined mass (\(3M_\odot\)), so it has the strongest gravitational force.

Answer:

The model with stars labeled \(1M_\odot\) and \(2M_\odot\) (the third model)