A rock far outside a solar system similar to ours is initially moving very slowly relative to its sun, in the plane of the orbit of a large planet (about the size of Jupiter) around its sun. The rock falls toward the sun, but on its way to the sun it collides with the planet. The mass of the planet is 4 × 1027 kg, the mass of its sun is 2.5 × 1030 kg, the radius of the planet is 1.5 × 108 m, and the center-to-center distance from the planet to the sun is 8.5 × 1011 m. Calculate the rock's speed just before it collides with the planet? Which assumptions were made to make these calculations?

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom
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A rock far outside a solar system similar to ours is initially moving very slowly relative to its sun, in the plane of the orbit of a large
planet (about the size of Jupiter) around its sun. The rock falls toward the sun, but on its way to the sun it collides with the planet. The
mass of the planet is 4 × 1027 kg, the mass of its sun is 2.5 × 1030 kg, the radius of the planet is 1.5 × 108 m, and the center-to-center
distance from the planet to the sun is 8.5 × 1011 m.
Calculate the rock's speed just before it collides with the planet? Which assumptions were made
to make these calculations?
Transcribed Image Text:A rock far outside a solar system similar to ours is initially moving very slowly relative to its sun, in the plane of the orbit of a large planet (about the size of Jupiter) around its sun. The rock falls toward the sun, but on its way to the sun it collides with the planet. The mass of the planet is 4 × 1027 kg, the mass of its sun is 2.5 × 1030 kg, the radius of the planet is 1.5 × 108 m, and the center-to-center distance from the planet to the sun is 8.5 × 1011 m. Calculate the rock's speed just before it collides with the planet? Which assumptions were made to make these calculations?
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