Kendall Widdel - Lab 4 Work and Energy

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The University of Tennessee, Knoxville *

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221

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Mechanical Engineering

Date

Dec 6, 2023

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docx

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3

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Name: Kendall Widdel E-mail address: kwiddel@vols.utk.edu Laboratory 4 Report The goal of this lab is to understand the effect that ordered energy, mechanical energy, friction, and disordered energy have on an object. While also seeing the distribution of energy, while gravity is in play. Exploration Use the Energy Graphs to track the Skater's mechanical energy. Decide which graphs or charts best help you understand what makes your track successful. The bar chart best helps understand what make the track successful as I am able to easily compare the values
Explain why your track is successful in terms of conservation of mechanical energy. Refer to Charts or Graphs to help explain your reasoning. My track is successful because it switches off between mechanical and ordered energy while having the same of both. This was it is able to continue the motion without being stopped because it ran out of energy. Using conservation of mechanical energy, explain what things need to be considered when designing any successful track. Things that need to be considered when designing a successful track are the length and the steepness of the track. These will all play a role in the mechanical and ordered energy, these need to be even or it will cause the skater to eventually stop. Explain what changes in the simulation when you add friction. How does the energy distribution change? When you add friction, it causes the skater to eventually stop because it increases the disordered energy. And friction causes mechanical energy to become disordered energy, making the mechanical energy run out and decreasing the ordered energy as well. Experiment - What is the value of the spring constant k (magnitude and units)? K = 2.84 N/m^2 - What is the equilibrium position x equ of the free end of the spring in units of cm, i.e. in your graph, what is x (in m) when y = 0? Equilibrium position is .1874 m, so that in cm is 18.74 cm Is the gravitational potential energy lost equal to the elastic potential energy stored in the spring?
If not, approximately how much of the work done by gravity is stored in the spring, and what do you think happened to the rest of it? No the gravitation potential energy lost is not equal to the elastic potential energy stored in the spring. About half of the work done by gravity is stored in the spring and the rest of it is being transferred. 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 f(x) = 2.84 x − 0.53 Force (N) vs Position (m) Force vs Position Linear (Force vs Position) ½k(x - xequ)2 Position (m) Force (N) Reflection Overall, this experiment is something that I am familiar with as I have done similar ones to it in the past. Making the ramp was fun and creative, and was nice to have hands-on experience to troubleshoot what ramps would work and which ones would not, and be able to view the graphs to see why it works or why it doesn’t. The equations were confusing for me though, so it was nice that the spread sheet did it for me.
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