4. 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.

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4. 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.
Transcribed Image Text:4. 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.
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