(Originais Teachy 2023) - Question Medium of PhysicsIn a space trip, two astronauts are in their ships, initially stationary relative to each other. The ships have masses of 10,000 kg and 15,000 kg, and are separated by a distance of 500 meters. Initially, the ships are not connected to external engines. The gravitational attraction between the two objects will begin to cause them to slowly approach each other. Considering these data, answer: a) Calculate the gravitational force between the two ships. b) If both ships turn on the engines and exert an extra force equal and opposite to the gravitational force calculated in item 'a', what will be the resulting acceleration of each ship? c) Imagine that the distance between the ships is reduced by half, that is, 250 meters. How does the gravitational force between them change?
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