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# Calculating Gravitational Attraction between Spherical Objects with Varying Masses and Separation Distance

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Question: Two spherical objects have masses 120 Kg and 480 Kg. Their centers are separated by a distance of 17 m. what is the gravitational attraction between them?

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To solve your problem, we'll use Newton's Law of Universal Gravitation which is given as: F = G * (m1 * m2) / r^2 where: F = force of attraction between the two objects, G = gravitational constant (~6.67430 × 10^-11 m³ kg⁻¹ s⁻²), m1 and m2 = masses of the two objects, r = distance between the centers of the two objects. In your case, m1 = 120 kg, m2 = 480 kg, r = 17 m. Let's plug these numbers into the equation: F = (6.67430 × 10^-11 m³ kg⁻¹ s⁻²) * ((120 kg * 480 kg) / (17 m)^2) You can use a calculator to solve for F, or you can rearrange the equation slightly to make it easier: F = (6.67430 × 10^-11 m³ kg⁻¹ s⁻²) * (120 kg * 480 kg) / (289 m²) F = (6.67430 × 10^-11 * 120 * 480) / 289 Remember to follow the order of operations, and you'll get your answer.

Feb. 20, 2024, 10:40 a.m.

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