phys172_rec04_echinitz.ipynb - Colaboratory

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2/1/23, 1:49 PM phys172_rec04_echinitz.ipynb - Colaboratory https://colab.research.google.com/drive/1QhaNpU3eh2VjkCi6zJaR_VDxdYPCwjEG#scrollTo=aEb749kg4snL&printMode=true 1/8 Chinitz Eliana W 12:30 12 Caitlyn Bowerman, Aliya Carmon, Tatum LeMaire
2/1/23, 1:49 PM phys172_rec04_echinitz.ipynb - Colaboratory https://colab.research.google.com/drive/1QhaNpU3eh2VjkCi6zJaR_VDxdYPCwjEG#scrollTo=aEb749kg4snL&printMode=true 2/8 Part 1. What is the initial momentum of this binary star system? Estimate the system’s momentum one week later? Problem 1: A binary star system consists of stars, A and B, very far away from other stars, moving in a galaxy. Their masses are and . Their initial positions and velocities in a particular coordinate system are , , and . The magnitude of the gravitational force each start exerts on the other when they are in their initial positions is . 1.1 What principle(s)/concept(s) will you need to help solve the problem? momentum update, force of gravity 1.2 What assumption(s)/approximation(s) do you need to make to better help you solve the problem? *Gravity is the only force acting upon the system *friction is negligable 1.3 Identify your system (i.e. objects experiencing a change) and surroundings (i.e. objects causing the change).
2/1/23, 1:49 PM phys172_rec04_echinitz.ipynb - Colaboratory https://colab.research.google.com/drive/1QhaNpU3eh2VjkCi6zJaR_VDxdYPCwjEG#scrollTo=aEb749kg4snL&printMode=true 3/8 *system - Binary Star system *surroundings - nothing Part 2. What is the initial momentum of Star B ? Estimate the change in its momentum during the following week. What is the corresponding change in the velocity of Star B ?
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2/1/23, 1:49 PM phys172_rec04_echinitz.ipynb - Colaboratory https://colab.research.google.com/drive/1QhaNpU3eh2VjkCi6zJaR_VDxdYPCwjEG#scrollTo=aEb749kg4snL&printMode=true 4/8 2.1 What assumption(s)/approximation(s) do you need to make to better help you solve the problem? *there is external gravity *friction is negligable 2.2 Identify your system (i.e. objects experiencing a change) and surroundings (i.e. objects causing the change). *system- star b *surroudnings - star a
2/1/23, 1:49 PM phys172_rec04_echinitz.ipynb - Colaboratory https://colab.research.google.com/drive/1QhaNpU3eh2VjkCi6zJaR_VDxdYPCwjEG#scrollTo=aEb749kg4snL&printMode=true 5/8 Please type out your answer of Initial Momentum and Change in Momentum a week later for Part 1 below. initial momentum = <6 10^34, 0, 0> kg m/s *change in momentum = <0,0,0> kg m/s ±nal momentum = <6 10^34,0,0> kg*m/s Please type out your answer of Change in Momentum for Part 2 below. change in momentum = <-8.60026 10^29,-1.1467 10^30,0> kg*m/s change in velocity = <-0.430013,-0.57335,0> m/s 3.1 How con±dent are you in your answers? Choose one.
2/1/23, 1:49 PM phys172_rec04_echinitz.ipynb - Colaboratory https://colab.research.google.com/drive/1QhaNpU3eh2VjkCi6zJaR_VDxdYPCwjEG#scrollTo=aEb749kg4snL&printMode=true 6/8 Very con±dent Slightly con±dent Slightly uncon±dent Very uncon±dent Very con±dent A scienti±c argument consists of three pieces: and . A CLAIM is every decision you took to solve the problem i.e. choice of principle/concept, system/surrounding,approximation/assumption, or key steps you used in your problem-solving strategy – It is an assertion that that the decision was the right one to answer the key question(s) in the problem statement. 3.2a In words, list the CLAIMS you made while constructing your solution. There is no need to provide evidence or reasoning in this cell, but please use complete sentences For part A, we assumed that there are no external forces of gravity acting on the system and that friction is negligable. We also determined that there are no surroundings for the system which was the binary star system. For part B, we assumed that there are no external forces of gravity acting on the system and surroundings, and that friction is negliable. We determined that star A was the surroundings and the system was star B. EVIDENCE is the information either provided in the problem or something that you know (e.g. from the physics class) to be factually correct that helped you make the decision above. 3.2b In words, provide the EVIDENCE for the claims you made while constructing your solution. For every claim you made in
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2/1/23, 1:49 PM phys172_rec04_echinitz.ipynb - Colaboratory https://colab.research.google.com/drive/1QhaNpU3eh2VjkCi6zJaR_VDxdYPCwjEG#scrollTo=aEb749kg4snL&printMode=true 7/8 3.2a there should be evidence . There is no need to provide reasoning at this time, but please use complete sentences. In part A, there are no forces acting on the system the problem explained that the stars are far from all other objects meaning no other forces are acting on them. We also know that friction is negliable in space. There are no forces acting on the system which was given in the problem meaning that there are no surroundings. In part B, there are no external forces because the problem stated that the stars are far from all other objects and we know that friction in negliable in space. The system was provided in the problem and A was the only force acting on the system making it the surroundings. 3.3 Do your answers seem appropriate? Why or why not? Yes, for part A we would expect there to be no change in momentum over the time period because there are no external forces. Additionally, the units in the calulations work out the units in the solution, kg*m/s. For part B, the momentum should change over time in the x and y direction which is what occurs in the solution. Like part A, the units in the calculations work out to the units expected in the solution. 3.4 Are there other ways to solve this problem? Explain how or why not. Not right now.
2/1/23, 1:49 PM phys172_rec04_echinitz.ipynb - Colaboratory https://colab.research.google.com/drive/1QhaNpU3eh2VjkCi6zJaR_VDxdYPCwjEG#scrollTo=aEb749kg4snL&printMode=true 8/8

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