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Ravyn Solís Lab Partners (Brenna Ashley & Ayi-Lissa Dotson) Physics 1101 Motion down an Inclined Plane 9/18/22
Purpose When an object rolls freely down an inclined plane the component that causes it to accelerate is gravity. As result, the purpose of this experiment is to investigate how the motion of an object is impacted by the steepness / angle of an incline and to calculate the acceleration due to gravity. In doing so, concepts discussed in lecture will provide students with a more practical and hands-on experience with physics. Procedure Apparatus The first step is for the table to have metals bars set in the holes in the rough Assembly shape of an ‘H’. A±erwards, you can place the track on top. Set up the cart and use the Sensor Data in PASCO Capstone. Data Use the meter stick to set the horizontal bar to 20 cm. In PASCO, set the x-axis to Collection Position (cm) and the y-axis to Velocity (cm/s). Read the data off the graph for 20 cm and 100 cm and record this in the table for Y₁ and Y₂ respectively. Determine the height from the Y₁ and Y₂ point on the track. Push the cart and collect data. Calculate 20 cm from the front of the car and 100 cm. These are the locations that will be measured each time the height of the track increases. Do three runs of letting the car roll down the track under the influence of gravity and document the velocity at 20 cm and 100 cm for each run. Finally, you will increase the height to 21 cm. Do another three runs, calculate the data, increase the height according to the table, and repeat. Formulas and Calculation 𝑠𝑖𝑛 Θ = (?₁ − ?₂) / ? 𝑎 = (𝑉₂² − 𝑉₁²) / (2?) Data Tables [Fig. 1] The data collected at varying heights and positions over the course of 3 trials.
Graphs [Fig. 2] The relationship between sin 𝛳 and acceleration as depicted by a graph. Q&A 1.) The slope of the trendline is g. Find g. According to Figure 2, g = 677.45 2.) How would the slope of the previous plot be different if this experiment was performed on the moon? The acceleration on the moon due to gravity is 1.625 m/s² which is approximately 16.6 % of that on Earth’s surface. As a result, the slope would continue to have a positive trend (thus abiding Newton’s First Law); however, it would not be so prominent. Conclusion The purpose of this experiment is to investigate how the motion of an object is impacted by the steepness / angle of an incline and to calculate the acceleration due to gravity. While a linear line was expected from the data collected it is important to address possible sources of error. One possible source is due to the cart measuring from the core, not having a long enough track, having to approximate measurements, and having multiple measurements lie equidistant between two points and having to approximate their values.
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