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# Calculating Gravitational Attraction: Doubling the Distance Between Two Planets

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Question: Two Planets have a gravitational attraction between them of 225,000N. If the distance between the planets is doubled, what is the new magnitude of gravitational attraction between them?

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The force of gravity between two objects is given by Newton's law of universal gravitation, which states F = G * (m1 * m2) / r², where F is the force of gravity, m1 and m2 are the masses of the two objects, r is the distance between the centers of the two objects, and G is the gravitational constant. When the distance between the two planets is doubled, the new distance is 2r. Substituting this into the formula gives a new gravitational force F' = G * (m1 * m2) / (2r)² = G * (m1 * m2) / 4r². Since the gravitational force is inversely proportional to the square of the distance, if you double the distance, the gravitational force will be one fourth of its original value. So, if the initial gravitational attraction is 225,000N, when the distance is doubled the new force of gravity would be 225,000N / 4 = 56,250N.

Feb. 20, 2024, 11:03 a.m.

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This article was generated in part by one of OpenAI’s large-scale language-generation model, answering user thevttv56's question. Images were generated with OpenAI's AI model, DALL·E 2. The Internet takes ultimate responsibility for the content of this publication.