Lab 5 springs

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Apr 3, 2024

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Researcher Name: Audrey Young DA Name: Abigail Cook PI Name: Brenna Rischer Lab 5 Worksheet Use the data you have organized to answer the following questions. Researcher 1: Include a description of how force and stretch were determined as they are not directly measured (a Free Body Diagram is required). During each trial when adding mass, force and stretch were changing. Whenever you change your hanging mass, it also changes the spring force. That is because each time you add or take away mass, the spring has different stretches. There is also a force on the spring from the block and that is how the force and stretch were determined. DA 1: Create a “ Force vs Stretch Data table” for at least one spring (like Prelab question 2 but with all the raw data included as well) as well as a scatter plot (Force on the y axis and stretch on the x axis) showing the data for all three springs (with trend lines and equations for all three springs). If you can’t achieve clarity with careful labelling, you can have multiple scatter plots. (Table is for the Red Spring)
Researcher 2: Should the mass be moving while you measure the spring’s distance? Explain why or why not using Newton’s Law. The mass should not be moving while you measure the spring’s distance because if your mass moves, force is less than the mass times gravity. Newtons Third Law of motion is 𝐹 (?? ? ?? ?) = −𝐹 ⃗⃗⃗⃗ (?? ? ?? ?) , states that for every action of force, there must be an equal and opposite reaction. In this experiment, we have the spring force and the gravity that pulls the hanging mass down. The mass is not moving because the spring force and the gravity pulling on the hanging mass is causing the mass to not move because there are opposite forces and equal forces. If the mass was moving, then 𝐹 = ?(? − 𝑎) because there is some acceleration. If the acceleration isn’t moving, then acceleration would equal zero and the equation would be 𝐹 = ?? . PI 1: What is the meaning of the y intercept found on the Force vs distance graph generated by the DA. Also, please report the measured k value for all three springs. Make certain that your k value has units of N/m. The y-intercept on the graph for Force vs. distance represents the force that was being made by the unstretched spring, which is also the length made by stretching. The k constant of the red spring was 24.243 Nm and the green spring was 58.227. Researcher 3: Take a screen shot of one of the position vs time graphs to explain how to measure period and amplitude in the procedure section. Make sure you also explain how you estimate the uncertainty in both the period and amplitude measurements. y = 24.243x + 0.9559 y = 58.227x + 0.8899 0 1 2 3 4 5 6 7 0 0.02 0.04 0.06 0.08 0.1 Force (N) Stretch (m) Force VS Stretch - Red & Green Spring Red Green Linear (Red) Linear (Green)
In this picture, it is a graph that compares position and time. A period is the horizontal distance between one peak to the next peak. A period is a time measurement. When measuring the period, you must measure peak to peak along the time axis. The distance from zero to the peak is the amplitude. The way you measure amplitude is the peak to the trough divided by 2. In order to estimate the uncertainty for both amplitude and period, you take the standard deviation of all 5 values that you calculated to find the error. DA 2: Provide a table of Period vs Amplitude for one spring. Create a scatter plot to determine how the period depends on the amplitude. (Table is for Red Spring)
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DA 3: From g. and h. (in step 3 of the lab manual) the DA should construct a data table (and a scatter plot) of Period vs k value. 0 0.1 0.2 0.3 0.4 0.5 0.6 0 0.01 0.02 0.03 0.04 0.05 Period (s) Amplitude (s) Period vs Amplitude - Red & Green Spring Red Spring Green Spring
PI 2: What determines how long it takes a mass to bounce on a spring? Make sure you reference using the data tables/graphs provided by the DA. The spring uses tension to determine how long it takes a mass on the spring to bounce. From the Period vs Amplitude graph, you can see that on average having a higher amplitude causes a longer period. That means that it took longer for the spring to oscillate due to the mass. Data from Excel sheet: 0.44 0.45 0.46 0.47 0.48 0.49 0.5 0.51 0.52 0.53 0 10 20 30 40 50 60 70 Amplitude (s) K-Value (N/m) Period vs K-Value - Red & Green Spring Red Spring Green Spring
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