A 200 kg satellite is orbiting around the Earth at an altitude of 35768 km above Earth's equator. Since the Earth's radius is 6378 km, the satellite is (35768 km + 6378 km) = 42146 km from the center of the Earth. (The mass of the Earth is 5,972 x 1024 kg.) a) What is the gravitational force between the Earth and the satellite? b) What is the acceleration of the satellite due to this gravitational force? c) Assuming the satellite is orbiting the Earth in a circular orbit, what is the speed of the satellite? d) How long does it take the satellite to complete one orbit around the Earth? Show your answer in unit of day.
A 200 kg satellite is orbiting around the Earth at an altitude of 35768 km above Earth's equator. Since the Earth's radius is 6378 km, the satellite is (35768 km + 6378 km) = 42146 km from the center of the Earth. (The mass of the Earth is 5,972 x 1024 kg.) a) What is the gravitational force between the Earth and the satellite? b) What is the acceleration of the satellite due to this gravitational force? c) Assuming the satellite is orbiting the Earth in a circular orbit, what is the speed of the satellite? d) How long does it take the satellite to complete one orbit around the Earth? Show your answer in unit of day.
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 27P: The astronaut orbiting the Earth in Figure P3.27 is preparing to dock with a Westar VI satellite....
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