According to a model, the moon's size has doubled while maintaining its position, resulting in the gravitational force between Earth and the moon being significantly stronger due to the increased mass of the moon.
If the moon's size were to double while maintaining its position, its mass would increase significantly. According to the law of universal gravitation, the force of attraction between two objects is directly proportional to their masses and inversely proportional to the square of the distance between them.
As the mass of the moon increases, the gravitational force between the Earth and the moon would indeed become stronger. The moon's increased mass would pull on the Earth with a greater force, and in turn, the Earth would also exert a stronger gravitational force on the moon.
This stronger gravitational force would have various effects. Firstly, the tides on Earth would likely be more extreme, causing higher high tides and lower low tides. The increased force of attraction between the Earth and the moon would create a larger tidal bulge.
Additionally, the moon's orbit around the Earth would change. With a greater mass, it would experience a stronger gravitational pull from the Earth, which could cause its orbit to become more elliptical. The moon's increased mass would also affect the Earth's orbit around the sun, leading to small perturbations in its trajectory.
Overall, if the moon's size were to double while maintaining its position, the gravitational force between the Earth and the moon would indeed become significantly stronger due to the increased mass of the moon.