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Chapter_13_09

# Chapter_13_09 - .1 What must the separation be between a...

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Chapter 13 13.1 What must the separation be between a 5.2kg particle and a 2.4 kg particle for their gravitation attraction have a magnitude of 2.3 × 10 12 N ? Newton’s Law of Universal Gravitation states F = G M m r 2 r = G M m F = 6.67 × 10 11 5.2 kg 2.4 kg 2.3 × 10 12 = 19.02 m 13.3. A mass M is split into two parts, m and M-m whar are then separated by a a certain distance. What ratio m/M maximizes the magnitude of the gravitational force between the parts? This is an optimization problem. Let’s find the m that maximizes F by taking the derivative of F with respect to m and setting it equal to 0.

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Chapter_13_09 - .1 What must the separation be between a...

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