phys172_rec09_echinitz.ipynb - Colaboratory

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3/8/23, 1:38 PM phys172_rec09_echinitz.ipynb - Colaboratory https://colab.research.google.com/drive/1n1y4Fq1LVgmmRN8If6KHuQxWQJVCv1Rp#scrollTo=xfPgJuy1blHk&printMode=true 1/6 Chinitz Eliana W 12:30 12 Caitlyn Bowerman, Aliya Carmon, Tatum LeMaire Part 1: Estimate the speed at which the block is launched into the air. Magnitude of acceleration due to gravity, . Problem 1: A block of mass is initially held at a certain point on slippery incline of height that makes angle with the horizontal. The block is in contact with, but not attached to, a spring of stiffness, and compressed length, . The relaxed length, of the spring is also equal to the total length of the incline. When you release the block, the spring pushes it up all the way to the top of the incline, at which point it is launched into the air.
3/8/23, 1:38 PM phys172_rec09_echinitz.ipynb - Colaboratory https://colab.research.google.com/drive/1n1y4Fq1LVgmmRN8If6KHuQxWQJVCv1Rp#scrollTo=xfPgJuy1blHk&printMode=true 2/6 1.1 What principle(s)/concept(s) will you need to help solve the problem? Energy princple, kinetic energy 1.2 What assumption(s)/approximation(s) do you need to make to better help you solve the problem? gravity is 10 m/s^2 friction and air resistance are negligible the spring is ideal 1.3 Identify your system (i.e. objects experiencing a change) and surroundings (i.e. objects causing the change). system-block surroudnings- earth, ramp, spring
3/8/23, 1:38 PM phys172_rec09_echinitz.ipynb - Colaboratory https://colab.research.google.com/drive/1n1y4Fq1LVgmmRN8If6KHuQxWQJVCv1Rp#scrollTo=xfPgJuy1blHk&printMode=true 3/6 Part 3: Predict the maximum height, , measured above the edge of the ramp, reached by the block. Part 2: Predict the time, after it is launched, for the block to reach the highest point on its ±ight. 2.1 What principle(s)/concept(s) will you need to help solve the problem? momentum principle, kintenmatics 2.2 What assumption(s)/approximation(s) do you need to make to better help you solve the problem? gravity is 10 m/s^2 the spring is no longer in contact with the block air resitance is negligable projectile motion
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3/8/23, 1:38 PM phys172_rec09_echinitz.ipynb - Colaboratory https://colab.research.google.com/drive/1n1y4Fq1LVgmmRN8If6KHuQxWQJVCv1Rp#scrollTo=xfPgJuy1blHk&printMode=true 4/6 Write your answer for Part 1. 12 m/s Write your answer for Part 2. 0.72 seconds Write your answer for Part 3. 2.6 m Very Con²dent Slightly Con²dent Slightly Uncon²dent Very Con²dent How con±dent are you about your answers? very con²dent A scienti±c argument consists of three pieces: and .
3/8/23, 1:38 PM phys172_rec09_echinitz.ipynb - Colaboratory https://colab.research.google.com/drive/1n1y4Fq1LVgmmRN8If6KHuQxWQJVCv1Rp#scrollTo=xfPgJuy1blHk&printMode=true 5/6 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. 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. REASONING is an explanation of why the EVIDENCE supports the CLAIM . What CLAIMS support your solution? What EVIDENCE supports your solution? What REASONING supports your solution? 3.1 In words, construct an argument to explain, elaborate and justify your solution. We claimed that the spring is ideal. There is nothing in the problem that says that the spring has been streched past an ideal. Thus we can assume that the spring follows hookes law to calculate the energy due to the spring. We also claimed that we can neglect friction and air resitance. We are told that the ramp is smooth. In general, this means that the friction will be very small. We also were not given any information regarding the air resistance so it can be assumed that it does not greatly affect the problem. Lastly, we claimed that the spring is no longer in contact with the block when it leaves the ramp. This means that the only force acting on the block after it leaves the ramp is gravity greatly simpli²ng the equation 3.2 Does your answer seem appropriate? Why or why not? Yes, the units all cancel out to what they should be and the equations and the distance makes sense with the force of gravity. 3.3 Are there other ways to solve this problem? Explain how or why not Yes, you can use kintematics and the position update prinicple. 3.4 Create another problem in a different context (i.e. different object in system/ surroundings, different orientation of objects, different variables given or asked for) that utilizes same principles/concept and similar solution strategy. How is it similar to the problem just solved? A block of mass M=5 kg is held on a ramp of height h=4 m. The block is compressing an unattached spring with stiffness ks=160 N/m to L=1.0 m. The relaxed length of the spring is 5 m. You release the block and the spring pushes it to the top of the ramp and it ±ies off the end. Find the intital velocity of the block, the ²nal horizontal position of the block in comparison to the end of the ramp, and the time that the block hits the ground.
3/8/23, 1:38 PM phys172_rec09_echinitz.ipynb - Colaboratory https://colab.research.google.com/drive/1n1y4Fq1LVgmmRN8If6KHuQxWQJVCv1Rp#scrollTo=xfPgJuy1blHk&printMode=true 6/6
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