**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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Description: **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

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3. 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 (mA = 70 kg) at the average orbital altitude of the ISS (d = 400 km). (b) Compare this with the equivalent value at sea level. (ME = 5.98×10²4 kg, 7E = 6380 km, G = 6.67×10¹¹ N-m²/kg)

3. 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 (mA = 70 kg) at the average orbital altitude of the ISS (d = 400 km). (b) Compare this with the equivalent value at sea level. (ME = 5.98×10²4 kg, 7E = 6380 km, G = 6.67×10¹¹ N-m²/kg)

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Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

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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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