3. Consider two nearly spherical Soyuz payload vehicles, in orbit about Earth, each with mass 9000 kg and diameter 4.0 m. They are initially at rest relative to each other, 10.0 m from center to center. (As we will see in Kepler's Laws of Planetary Motion, both orbit Earth at the same speed and interact nearly the same as if they were isolated in deep space.) Determine the gravitational force between them and their initial acceleration. Estimate how long it takes for them to drift together, and how fast they are moving upon impact. STRATEGY: Use Newton's law of gravitation to determine the force between them and then use Newton's second law to find the acceleration of each. For the estimate, assume this acceleration is constant, and use the constant-acceleration equations from Motion along a Straight Line to find the time and speed of the collision.

3. Consider two nearly spherical Soyuz payload vehicles, in orbit about Earth, each with mass 9000 kg and diameter 4.0 m. They are initially at rest relative to each other, 10.0 m from center to center. (As we will see in Kepler's Laws of Planetary Motion, both orbit Earth at the same speed and interact nearly the same as if they were isolated in deep space.) Determine the gravitational force between them and their initial acceleration. Estimate how long it takes for them to drift together, and how fast they are moving upon impact. STRATEGY: Use Newton's law of gravitation to determine the force between them and then use Newton's second law to find the acceleration of each. For the estimate, assume this acceleration is constant, and use the constant-acceleration equations from Motion along a Straight Line to find the time and speed of the collision.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Problem 7. Use Kepler's third law (and the reduced mass) to derive the time it will take two baseballs, initially at rest a meter apart in deep space, to hit each other due to gravitational attraction. The mass of a baseball is 145 grams. Ignore the diameter of the baseballs; i.e. assume they are point particles.
2. On their way back from the Moon, suppose that when the capsule holding Neil Armstrong, Buzz Aldrin, and Michael Collins was halfway between the Earth and the Moon (192000 km from the center of the Earth and the center of the Moon), its speed was 2 km/hr. Assuming they don't fire their thrusters, what is the speced of the capsule when reaches Earth? (If this seems the same as the previous problem, just with bigger numbers, you are missing a very important concept!)
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