Ask AI: What would happen to the gravitational force between the Sun and Sirius, another main sequence star, if the mass of Sirius were to triple?

The gravitational force between two objects can be calculated using Newton's law of universal gravitation, which states that the force between two objects is proportional to the product of their masses (m1*m2) and inversely proportional to the square of the distance (d^2) between them. The formula is F = G * (m1*m2) / d^2 where G is the gravitational constant. So in your scenario, if the mass of Sirius triples, then the gravitational force between the Sun and Sirius would likewise triple, as long as the distance doesn't change. This is because there is a direct relationship between the masses of objects and the gravitational force between those objects: as mass increases, so does the gravitational force. Conversely, as the distance between the objects increases, the gravitational force decreases.