Lab 1 Freefall - Aashna Arora (1)

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School

University of Illinois, Urbana Champaign *

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Course

211

Subject

Physics

Date

Dec 6, 2023

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pdf

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9

Uploaded by CountFlagCapybara24

Lab 1: Freefall Physics 141 Aashna Arora Introduction In this lab, we explore the motion of objects in freefall. Objects in freefall, experience constant acceleration which can be shown through the equation . In this ? − ? 0 = − 1 2 𝑔? 2 equation is the vertical displacement, g is the acceleration due to gravity and is time ? − ? 0 ? in seconds. Acceleration due to gravity on Earth is approximately . Through this 9. 81 ?/? 2 experiment we frame by frame analyze the motion of a quarter and penny falling from a height of 0.762 meters. We obtained the quarter’s position and its time in multiple instances to then graph on a scatter plot which was then linearized to find the acceleration due to gravity and then compared to an accepted value - found through determining the percent error. This will allow for us to check ourselves and see whether or not our measurements align with . 9. 81 ?/? 2 Procedure 1. In this experiment, a 20in x 30in grid lined poster board was used alongside an iPad stopwatch, a penny (2.50 g), a quarter (5.67 g), and an iPhone. 2. Prop the poster board vertically against the wall. 3. Record a video of the poster board from a head-on angle and set up the stopwatch to be within the recording. 4. Hold the quarter at the top of the poster board and release it in a way where the quarter falls down vertically and without it flipping. 5. When the recording is complete, go frame by frame and note down the height of the quarter for each time frame. Go from when the quarter is released to right before the coin hits the ground. 6. Convert the position data from inches to meters and create a data table with time as the independent variable and the position as the dependent variable. 7. Square the time data and create another data table using position data and data. Take ? 2 this data and convert it into a scatter plot. 8. Apply a linear regression to the scatter plot and record the equation of the trendline. Use the slope of the linear regression to determine the acceleration due to gravity. 9. Calculate the percent error by comparing the measured value to the accepted value. Use this equation . ??????? ????? = 100 × 𝑎???𝑎? − ??𝑎????? | | 𝑎???𝑎? 10. Repeat steps 3 through 5 but use both the quarter and the penny this time at the same 30in height.
11. Capture screenshots at the regular intervals to show the heights of the two coins are always the same regardless of time. Determine if the mass of the object affects its motion in freefall. 12. Repeat steps 3 through 5 but start the quarter at 20in. Then calculate the acceleration due to gravity using the simplified freefall equation and then ? − ? 0 = − 1 2 𝑔? 2 repeat step 9. Results Picture 1: Timestamp of frame when quarter was released.
Data Table 1: Record of the progress of the quarter down the poster board with time in seconds in relation to position (y) in meters.
Picture 2: Both penny and quarter before being released Picture 3: Penny and quarter at same height regardless of mass
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