College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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**Problem 3: Understanding Gravity in Orbit**

There is a common misconception that astronauts in orbit seem to float because "there is no gravity in outer space."

**(a)** Show that this is not even remotely true by calculating the force of gravity on an average astronaut \((m_A = 70 \, \text{kg})\) at the average orbital altitude of the ISS \((d = 400 \, \text{km})\).

**(b)** Compare this with the equivalent value at sea level.

Given:
- Mass of Earth, \(m_E = 5.98 \times 10^{24} \, \text{kg}\)
- Radius of Earth, \(r_E = 6380 \, \text{km}\)
- Gravitational constant, \(G = 6.67 \times 10^{-11} \, \text{N m}^2/\text{kg}^2\)
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Transcribed Image Text:**Problem 3: Understanding Gravity in Orbit** There is a common misconception that astronauts in orbit seem to float because "there is no gravity in outer space." **(a)** Show that this is not even remotely true by calculating the force of gravity on an average astronaut \((m_A = 70 \, \text{kg})\) at the average orbital altitude of the ISS \((d = 400 \, \text{km})\). **(b)** Compare this with the equivalent value at sea level. Given: - Mass of Earth, \(m_E = 5.98 \times 10^{24} \, \text{kg}\) - Radius of Earth, \(r_E = 6380 \, \text{km}\) - Gravitational constant, \(G = 6.67 \times 10^{-11} \, \text{N m}^2/\text{kg}^2\)
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