An artificial satellite moves in a circular orbit at a heighth 2.89 x 105 m above the Earth's surface, a location where the acceleration (centripetal) due to gravity is 9.00 m/s?. The Earth's radius is 6.38 x 106 m. What is the orbital period 'T' of the satellite at this location? {Consider the altitude and the Earth's radius} O 5,790 s O 5,410 s O 1,030 s O 4,920 s O 6,820 s
An artificial satellite moves in a circular orbit at a heighth 2.89 x 105 m above the Earth's surface, a location where the acceleration (centripetal) due to gravity is 9.00 m/s?. The Earth's radius is 6.38 x 106 m. What is the orbital period 'T' of the satellite at this location? {Consider the altitude and the Earth's radius} O 5,790 s O 5,410 s O 1,030 s O 4,920 s O 6,820 s
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Transcribed Image Text:### Orbital Period of a Satellite
An artificial satellite moves in a circular orbit at a height \( h = 2.89 \times 10^5 \, \text{m} \) above the Earth's surface, at a location where the acceleration (centripetal) due to gravity is \( 9.00 \, \text{m/s}^2 \). The Earth's radius is \( 6.38 \times 10^6 \, \text{m} \). What is the orbital period 'T' of the satellite at this location? (Consider the altitude and the Earth's radius.)
**Options:**
- \( 5,790 \, \text{s} \)
- \( 5,410 \, \text{s} \)
- \( 1,030 \, \text{s} \)
- \( 4,920 \, \text{s} \)
- \( 6,820 \, \text{s} \)
#### Explanation:
The image provided includes a photograph of a satellite orbiting Earth, offering a visual context of the scenario described in the question. The main goal is to calculate the orbital period 'T' using the given parameters and the formula for circular orbital motion.
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