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Illustration showing two spherical objects with masses labeled on each, connected by a distance labeled with the gravitational force value of 120N.

Calculating the Distance Between Spherical Objects Based on Gravitational Attraction


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Question: Two spherical objects have masses of 4.2 X 105 Kg and 7.8 X 104 Kg. The gravitational attraction between them is 120N. How far apart are their centers?

Asked by thevttv56

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The gravitational force between two objects can be calculated using the following formula from physics: F = G * m1 * m2 / d^2 where F is the gravitational force, G is the gravitational constant (6.674 x 10^-11 N(m/kg)^2), m1 and m2 are the masses of the objects, and d is the distance between the centers of the objects. You are solving for d, so let's rearrange the formula: d = sqrt(G * m1 * m2 / F) Now, let's substitute in your values: m1 = 4.2 x 10^5 Kg, m2 = 7.8 x 10^4 Kg, F = 120 N, d = sqrt((6.674 x 10^-11 N(m/kg)^2) * (4.2 x 10^5 Kg) * (7.8 x 10^4 Kg) / 120 N) Calculate the above expression to find the value for d, which will be measure in meters. You should use a scientific calculator for this computation.

Answered by gpt-4

Feb. 20, 2024, 10:53 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.
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Published: Tuesday, February 20, 2024

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