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6. Compared to your current weight, what would happen to your weight if the mass of the Earth was nine times greater, while the radius of the earth was three times greater, than they are now? "My weight would be what it is now".

6. Compared to your current weight, what would happen to your weight if the mass of the Earth was nine times greater, while the radius of the earth was three times greater, than they are now? "My weight would be what it is now".

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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### Educational Content Transcription *** #### Physical Problem and Analytical Questions **Question 5:** Compared to your weight, what would happen to your weight if the radius of the Earth were three times greater than they are now? "My weight would be ____ what it is now". [Answer Box] **Question 6:** Compared to your current weight, what would happen to your weight if the mass of the Earth was nine times greater, while the radius of the Earth was three times greater, than they are now? "My weight would be ____ what it is now". [Answer Box] **Instructions for Problem-Solving:** For the following problems, in the **first box**, **SHOW YOUR WORK** or **Explain Your Reasoning**! Start with the general equation you are using (symbols, not numbers). Then substitute in numbers. Then do the math. Finally, in the **second box**, record your final answer, including units. **Example Problem:** Imagine you are an astronaut in a circular orbit around the Earth. Let's say you have a mass of 100 kg. - You are orbiting at a radial distance of 10,000 km (10^4 km, or 10^7 m) from the center of the Earth. - Radius of Earth is roughly 6400 km (6.4 x 10^3 km, or 6.4 x 10^6 m), so you are approximately 3600 km above the surface. - It takes you two hours and 45 minutes to complete each orbit. **Question 7:** What is the acceleration of gravity at your location (in m/s^2)? (Hint: “G*M” for Earth = 4 x 10^14) *** **Instructions for Students:** - **Understand the Variables and Constants:** Identify the gravitational constants and variables you need. - **Apply Equations and Formulas:** Use appropriate physics equations for gravitational force and centripetal force. - **Show Work Clearly:** Detail each step of your calculation for clear understanding and validation. - **Conclude with Correct Units:** Ensure that your final answer includes proper units for full credit. *** The transcription includes detailed instructions and an example problem designed to help students apply their understanding of gravity and orbital mechanics in a practical context.
Transcribed Image Text:### Educational Content Transcription *** #### Physical Problem and Analytical Questions **Question 5:** Compared to your weight, what would happen to your weight if the radius of the Earth were three times greater than they are now? "My weight would be ____ what it is now". [Answer Box] **Question 6:** Compared to your current weight, what would happen to your weight if the mass of the Earth was nine times greater, while the radius of the Earth was three times greater, than they are now? "My weight would be ____ what it is now". [Answer Box] **Instructions for Problem-Solving:** For the following problems, in the **first box**, **SHOW YOUR WORK** or **Explain Your Reasoning**! Start with the general equation you are using (symbols, not numbers). Then substitute in numbers. Then do the math. Finally, in the **second box**, record your final answer, including units. **Example Problem:** Imagine you are an astronaut in a circular orbit around the Earth. Let's say you have a mass of 100 kg. - You are orbiting at a radial distance of 10,000 km (10^4 km, or 10^7 m) from the center of the Earth. - Radius of Earth is roughly 6400 km (6.4 x 10^3 km, or 6.4 x 10^6 m), so you are approximately 3600 km above the surface. - It takes you two hours and 45 minutes to complete each orbit. **Question 7:** What is the acceleration of gravity at your location (in m/s^2)? (Hint: “G*M” for Earth = 4 x 10^14) *** **Instructions for Students:** - **Understand the Variables and Constants:** Identify the gravitational constants and variables you need. - **Apply Equations and Formulas:** Use appropriate physics equations for gravitational force and centripetal force. - **Show Work Clearly:** Detail each step of your calculation for clear understanding and validation. - **Conclude with Correct Units:** Ensure that your final answer includes proper units for full credit. *** The transcription includes detailed instructions and an example problem designed to help students apply their understanding of gravity and orbital mechanics in a practical context.
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