phys172_rec03_echinitz.ipynb - Colaboratory

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1/25/23, 1:58 PM phys172_rec03_echinitz.ipynb - Colaboratory https://colab.research.google.com/drive/1tGabzC7k1vNayDIrcM7VhI_SXWx9h14x#scrollTo=HLmDkwEdJJYk&printMode=true 1/7 Chinitz Eliana W 12:30 12 Caitlyn Bowerman, Aliya Carmon, Tatum LeMaire
1/25/23, 1:58 PM phys172_rec03_echinitz.ipynb - Colaboratory https://colab.research.google.com/drive/1tGabzC7k1vNayDIrcM7VhI_SXWx9h14x#scrollTo=HLmDkwEdJJYk&printMode=true 2/7 Using a time step of 0.02 seconds, ±nd the (i) momentum and (ii) position of the block 0.04 seconds. Problem 1: A block of mass is attached by a spring with stiffness =120 N/m to the wall at the top of a slippery ramp as shown in the ±gure. The spring’s relaxed length is =1.0 m. Use , if it is needed. At time t=0 the spring’s length is and the block’s velocity is . The wall is located at and the bottom of the ramp is at .
1/25/23, 1:58 PM phys172_rec03_echinitz.ipynb - Colaboratory https://colab.research.google.com/drive/1tGabzC7k1vNayDIrcM7VhI_SXWx9h14x#scrollTo=HLmDkwEdJJYk&printMode=true 3/7 1.1 What principle(s)/concept(s) will you need to help solve the problem? incline plane, momentum update, position update 1.2 What assumption(s)/approximation(s) do you need to make to better help you solve the problem? *Gravity of earth is 10 m/s^2 *the y and z components are 0 in the net force *negative coordinates on ramp *it is not moving close to the speed of light 1.3 Identify your system (i.e. objects experiencing a change) and surroundings (i.e. objects causing the change). *system: block *surroudings: earth, ramp, spring
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1/25/23, 1:58 PM phys172_rec03_echinitz.ipynb - Colaboratory https://colab.research.google.com/drive/1tGabzC7k1vNayDIrcM7VhI_SXWx9h14x#scrollTo=HLmDkwEdJJYk&printMode=true 4/7
1/25/23, 1:58 PM phys172_rec03_echinitz.ipynb - Colaboratory https://colab.research.google.com/drive/1tGabzC7k1vNayDIrcM7VhI_SXWx9h14x#scrollTo=HLmDkwEdJJYk&printMode=true 5/7 Please type out your answer to part (i) below. <-7.55776,0,0> kg*m/s Please type out your answer to part (ii) below. <-2.0327,0,0> m Very con±dent Slightly con±dent Slightly uncon±dent Very uncon±dent 2.1 How con±dent are you in your answers? Choose one. slightly con±dent 2.2 If you were to solve this problem again using the same initial conditions to determine the momentum and position of the block 0.04s later, but use a ∆ t=0.01s, will the answer be different? Why or why not? Yes, the force is constantly changing so there will be changes in each time period so having a smaller step will make it more accurate.
1/25/23, 1:58 PM phys172_rec03_echinitz.ipynb - Colaboratory https://colab.research.google.com/drive/1tGabzC7k1vNayDIrcM7VhI_SXWx9h14x#scrollTo=HLmDkwEdJJYk&printMode=true 6/7 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. 2.3a 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 *The gravity is 10 m/s^2. *The system is the block and the surroundings are the earth, spring, and ramp. *the block is not moving close to the speed of light. 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. 2.3b In words, provide the EVIDENCE for the claims you made while constructing your solution. For every claim you made in 2.3a there should be evidence . There is no need to provide reasoning at this time, but please use complete sentences. Provided in the problem. *the block has forces being applied to it. These forces are gravity from the earth, the normal force from the ramp, and the spring force pulling back on the block. *The speed of light is 3 10^8 m/s while the speed of the block is 1 m/s meaning that the speed is nowhere close to the speed of light. 2.4 Do your answers seem appropriate? Why or why not?
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1/25/23, 1:58 PM phys172_rec03_echinitz.ipynb - Colaboratory https://colab.research.google.com/drive/1tGabzC7k1vNayDIrcM7VhI_SXWx9h14x#scrollTo=HLmDkwEdJJYk&printMode=true 7/7 Yes, the units are correct and the y and z remain at zero. The posistion also changes slightly which makes sense over a small period of time with a low velocity. 2.5 Are there other ways to solve this problem? Explain how or why not. Not right now.

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