Newton's constant of gravitation G is 6.67×10-11 in the system of units we use with mass in kilograms, length in meters, and time in seconds. The radius of Earth is approximately 6.378 ×106 m, and its mass is 5.97 × 1024 kg. With all this you can evaluate conservation of energy from Earth's surface and find an escape velocity of about 11.2 km/s from Now suppose we wanted to orbit a spacecraft in low Earth orbit just a few hundred km above the surface. How fast would it have to go to stay in a circular orbit? 7.9 km/s, that is about 11.2 / √2. 11.2, the same as the escape velocity 15.8, that is 11.2 * √2. 5.6, half the escape velocity
Newton's constant of gravitation G is 6.67×10-11 in the system of units we use with mass in kilograms, length in meters, and time in seconds. The radius of Earth is approximately 6.378 ×106 m, and its mass is 5.97 × 1024 kg. With all this you can evaluate conservation of energy from Earth's surface and find an escape velocity of about 11.2 km/s from Now suppose we wanted to orbit a spacecraft in low Earth orbit just a few hundred km above the surface. How fast would it have to go to stay in a circular orbit? 7.9 km/s, that is about 11.2 / √2. 11.2, the same as the escape velocity 15.8, that is 11.2 * √2. 5.6, half the escape velocity
Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter13: Universal Gravitation
Section: Chapter Questions
Problem 13.43P
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Newton's constant of gravitation G is 6.67×10-11 in the system of units we use with mass in kilograms, length in meters, and time in seconds. The radius of Earth is approximately 6.378 ×106 m, and its mass is 5.97 × 1024 kg. With all this you can evaluate conservation of energy from Earth's surface and find an escape velocity of about 11.2 km/s from
Now suppose we wanted to orbit a spacecraft in low Earth orbit just a few hundred km above the surface. How fast would it have to go to stay in a circular orbit?
7.9 km/s, that is about 11.2 / √2. |
||
11.2, the same as the escape velocity |
||
15.8, that is 11.2 * √2. |
||
5.6, half the escape velocity |
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