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") 2. What was your weight (in Newtons) on Earth? (Hint: remember, W m*g) WE = 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 SAME kind of problem you did on # 3-9 last time...) F =

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Chapter1: Units, Trigonometry. And Vectors
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Just question 3 which ties to question 1 and 2 I just need help with question 3 

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 = 7 x 10
(Hint: "G*M" for Earth = 4 x 10^14.
%3D
m")
2. What was your weight (in Newtons) on Earth? (Hint: remember, W, = m*g)
WE3=
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 SAME kind of problem you did on # 3-9 last time...)
F =
4. Now, use your results from # 2 and 3 to figure out: What is your weight (in N) in orbit?
Transcribed Image Text: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 = 7 x 10 (Hint: "G*M" for Earth = 4 x 10^14. %3D m") 2. What was your weight (in Newtons) on Earth? (Hint: remember, W, = m*g) WE3= 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 SAME kind of problem you did on # 3-9 last time...) F = 4. Now, use your results from # 2 and 3 to figure out: What is your weight (in N) in orbit?
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