183_projects:problem8a_fall2024

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183_projects:problem8a_fall2024 [2024/10/14 13:06] – hallstein183_projects:problem8a_fall2024 [2025/03/11 11:45] (current) – hallstein
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 The local gravity on the surface of the moon is roughly 1/6 of the gravity on Earth's surface: $g_{moon}=1.63 \frac{m}{s^2}$. We wish to use gravitational potential energy to analyze the speed of a probe released from orbit a distance of twice the radius of the moon above the moon's surface. The local gravity on the surface of the moon is roughly 1/6 of the gravity on Earth's surface: $g_{moon}=1.63 \frac{m}{s^2}$. We wish to use gravitational potential energy to analyze the speed of a probe released from orbit a distance of twice the radius of the moon above the moon's surface.
   - What must we include in our system?   - What must we include in our system?
-  - Can we can use $m_{probe}g_{probe}y_{probe}$ for the gravitational potential energy, why or why not? If not, what should we use and clearly define each quantity. +  - Can we can use $m_{probe}\cdot g_{moon} \cdot y_{probe}$ for the gravitational potential energy, why or why not?  
-  - +  - If yes, where is $y_{probe}$ measured from? If not, what should we use and clearly define where any distances are measured from. 
 +  - Consider a pinball machine using a spring-loaded launcher to get the ball onto the main table. If we want to use spring potential energy to analyze the speed of the pinball, what must be in our system? 
 +  - If we do not want to use potential energy in either of the two scenarios, what must we do in our application of the energy principle: $\Delta E_{sys} = W_{surr} + Q$, and what does this involve?
  
  
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 <WRAP info> <WRAP info>
  
-==== Project 8: Learning goals ====+==== Project 9: Learning goals ====
  
   * For multi-particle systems where little or no heat is exchanged with the surroundings, use conservation of energy (ΔEsys=Wext) to explain and/or predict the final state of the system (this includes accounting for the potential energy of each pair of interacting particles; spring potential energy).   * For multi-particle systems where little or no heat is exchanged with the surroundings, use conservation of energy (ΔEsys=Wext) to explain and/or predict the final state of the system (this includes accounting for the potential energy of each pair of interacting particles; spring potential energy).
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 <WRAP info> <WRAP info>
  
-==== Project 8: Learning Concepts ====+==== Project 9: Learning Concepts ====
  
   * Gravitational potential energy   * Gravitational potential energy
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-====== Project 8: Part A: Launching a communications probe ======+====== Project 9: Part A: Launching a communications probe ======
  
 You and your team are engineers that have been contracted by Elliot Carver of the Carver Media Group Network (CMGN) to plan the launch of their new "communications" satellite. The satellite is meant to perform a geosynchronous pole-to-pole orbit. You and your team are engineers that have been contracted by Elliot Carver of the Carver Media Group Network (CMGN) to plan the launch of their new "communications" satellite. The satellite is meant to perform a geosynchronous pole-to-pole orbit.
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-**Conceptual questions:**+**Wrap-up questions:**
   - What was your system?  What was/wasn't included and why?   - What was your system?  What was/wasn't included and why?
   - Instead of compressing the spring the correct amount, you over-compress it.   What impact will this have on your solution and would there be anything you could do to correct this error after launch, if so what?   - Instead of compressing the spring the correct amount, you over-compress it.   What impact will this have on your solution and would there be anything you could do to correct this error after launch, if so what?
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