Imagine yourself as an astronaut in a circular orbit around the Earth. Let's say you and your suit have a mass of 100 kg. You are orbiting at a radial distance of 7000 km from the center of the Earth (about 600 km above the surface). It takes you one hour and 37 minutes to complete each orbit. 1. What is the acceleration of gravity at your location? Also, remember your radial distance should be in meters, not km: "7000 km = 7x 10 (Hint: "G*M" for Earth = 4 x 10^14. m") 2. What was your weight (in Newtons) on Earth? (Hint: remember, WE = m*g) WE =
Imagine yourself as an astronaut in a circular orbit around the Earth. Let's say you and your suit have a mass of 100 kg. You are orbiting at a radial distance of 7000 km from the center of the Earth (about 600 km above the surface). It takes you one hour and 37 minutes to complete each orbit. 1. What is the acceleration of gravity at your location? Also, remember your radial distance should be in meters, not km: "7000 km = 7x 10 (Hint: "G*M" for Earth = 4 x 10^14. m") 2. What was your weight (in Newtons) on Earth? (Hint: remember, WE = m*g) WE =
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Question 2 answer it ties to question 1 which is why I'm showing question one just need help with question 2
![**Astronaut's Orbital Physics Exercise**
Imagine yourself as an astronaut in a circular orbit around the Earth. Let’s say you and your suit have a mass of 100 kg. You are orbiting at a radial distance of 7000 km from the center of the Earth (about 600 km above the surface). It takes you one hour and 37 minutes to complete each orbit.
1. **What is the acceleration of gravity at your location?**
(Hint: "G*M" for Earth = 4 x 10^14. Also, remember your radial distance should be in meters, not km: "7000 km = 7 x 10^____ m")
\[ g = \]
2. **What was your weight (in Newtons) on Earth?**
(Hint: remember, \( W_E = m * g \))
\[ W_E = \]
3. **What is your weight (gravitational force), compared to what it was on Earth?**
(Hint: radius of Earth is 6400 km. Hopefully, you DID recognize that this is the SAME kind of problem you did on #3-9 last time…)
\[ F_g = \]
4. **Now, use your results from #2 and #3 to figure out:**
What is your weight (in N) in orbit?
\[ W_O = \]
5. **What is the circumference of your orbit?**
_Notes: To convert from kg to Newtons on Earth, you will need to use the standard gravity, which is approximately \( g = 9.81 \, m/s^2 \). For space-related calculations, use the provided formula and constants. Make sure to convert all distances to meters for consistency._
_Additional Information: There may be diagrams or graphs related to the circular orbit and gravity fields referenced in this exercise. Ensure you understand how to read and interpret these for a comprehensive understanding._
---
This exercise will help you apply physical and mathematical principles to understand the effects of gravity and orbital mechanics.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Face44b8a-b4b2-431a-85fe-10ee41e76418%2F1f53855d-e0ba-4183-a1ae-0ec381bee700%2Fxvewwsk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Astronaut's Orbital Physics Exercise**
Imagine yourself as an astronaut in a circular orbit around the Earth. Let’s say you and your suit have a mass of 100 kg. You are orbiting at a radial distance of 7000 km from the center of the Earth (about 600 km above the surface). It takes you one hour and 37 minutes to complete each orbit.
1. **What is the acceleration of gravity at your location?**
(Hint: "G*M" for Earth = 4 x 10^14. Also, remember your radial distance should be in meters, not km: "7000 km = 7 x 10^____ m")
\[ g = \]
2. **What was your weight (in Newtons) on Earth?**
(Hint: remember, \( W_E = m * g \))
\[ W_E = \]
3. **What is your weight (gravitational force), compared to what it was on Earth?**
(Hint: radius of Earth is 6400 km. Hopefully, you DID recognize that this is the SAME kind of problem you did on #3-9 last time…)
\[ F_g = \]
4. **Now, use your results from #2 and #3 to figure out:**
What is your weight (in N) in orbit?
\[ W_O = \]
5. **What is the circumference of your orbit?**
_Notes: To convert from kg to Newtons on Earth, you will need to use the standard gravity, which is approximately \( g = 9.81 \, m/s^2 \). For space-related calculations, use the provided formula and constants. Make sure to convert all distances to meters for consistency._
_Additional Information: There may be diagrams or graphs related to the circular orbit and gravity fields referenced in this exercise. Ensure you understand how to read and interpret these for a comprehensive understanding._
---
This exercise will help you apply physical and mathematical principles to understand the effects of gravity and orbital mechanics.
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