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Lab report 3- Projectile Motion

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Please see attached documents. Lab reports are an effective way of communicating important information, and their use is stressed in this course. There is little point in doing a wonderful experiment with great results if you cannot effectively communicate your method and findings to others. Although you have some freedom in preparing your lab report, make sure to include the following sections: Cover Page Introduction - Provide a concise theoretical background. Procedure - Describe your procedure in your own words. Pictures - Include clear pictures of your setup. Data - Organize and present the data you collect in the experiment. Also provide a description of the behavior and apparent trend of the collected data. Analysis and Discussion - Give clear and detailed analysis of your data as described in the manual. Make sure to include sample calculations, especially for newly calculated columns in data tables. You may also need to produce graphs and perform appropriate fits. Error analysis and a discussion of measurement uncertainties should be provided. Conclusion - Present a brief summary of your findings and results. Questions - Provide detailed answers to the questions at the end of the lab.
Additional Instructions:
Lab Report Instructions Lab reports are an effective way of communicating important information, and their use is stressed in this course. There is little point in doing a wonderful experiment with great results if you cannot effectively communicate your method and findings to others. Although you have some freedom in preparing your lab report, make sure to include the following sections: · Cover Page · Introduction - Provide a concise theoretical background. · Procedure - Describe your procedure in your own words. · Pictures - Include clear pictures of your setup. · Data - Organize and present the data you collect in the experiment. Also provide a description of the behavior and apparent trend of the collected data. · Analysis and Discussion - Give clear and detailed analysis of your data as described in the manual. Make sure to include sample calculations, especially for newly calculated columns in data tables. You may also need to produce graphs and perform appropriate fits. Error analysis and a discussion of measurement uncertainties should be provided. · Conclusion - Present a brief summary of your findings and results. · Questions - Provide detailed answers to the questions at the end of the lab. Lab #3: Projectile Motion · Need to use this software to do data analysis · https://physlets.org/tracker/
PHYS 200 – Introductory to Physics 1 Lab 3: Projectile Motion Athabasca University This study source was downloaded by 100000815174830 from CourseHero.com on 06-05-2022 01:31:55 GMT -05:00 https://www.coursehero.com/file/74049805/PHYS200-Lab-3pdf/ https://www.coursehero.com/file/74049805/PHYS200-Lab-3pdf/ Introduction The main focus of Lab 3: Projectile Motion is to examine the projectile motion of an object in two dimensions while observing the parabolic motion of the projectile under the influence of gravity. A projectile is an object given an initial velocity, after which only moves under the influence of gravity. Projectile motion can be subcategorized as accelerated motion in the vertical direction and the constant velocity motion in a horizontal direction. Within this lab, the assumption is made that the acceleration will be that ay = 9.80m/s^2 downwards. The kinematics equations which will be used within this lab are as follows: 1. y =y +v t−1gt2 2. x=x0 +vxt Materials • Medium/large ball • Measuring tape • Digital camera Procedure As stated in the Lab 3: Projectile Motion lab manual 1. Located an empty room where there is a large area 2. Identified a location of known length with a measuring tape 3. The measuring tape is placed in a position where it is perpendicular to the objects plane of motion 4. The ball was thrown from a position near the floor at an angle θ between 40 and 75 above the horizontal plane 5. Recorded the objects projectile motion using a digital camera for the data to be analyzed by Tracker software 6. Analyzed the trajectory of the ball through Tracker software This study source was downloaded by 100000815174830 from CourseHero.com on 06-05-2022 01:31:55 GMT -05:00 https://www.coursehero.com/file/74049805/PHYS200-Lab-3pdf/ https://www.coursehero.com/file/74049805/PHYS200-Lab-3pdf/ Figure 1: Procedural set-up. This includes a known vertical length demonstrated by the tape measurer (1.39m) and the ball used. Analysis To properly collect and analyze data during this lab, frame-by-frame video captures are required. Data that was collected from the Tracker software is provided below. Figure 2: A collection of data points every 0.034s while portraying the graph of time vs. distance (y-axis) This study source was downloaded by 100000815174830 from CourseHero.com on 06-05-2022 01:31:55 GMT -05:00 https://www.coursehero.com/file/74049805/PHYS200-Lab-3pdf/ https://www.coursehero.com/file/74049805/PHYS200-Lab-3pdf/ Figure 3: The time vs. vertical position graph portraying the velocity of the ball over 24 data points and the corresponding fit parameters Analyzing figure 2, it is evident the time vs. vertical position of the graph demonstrates a parabolic form. When examining this graph, select data points have a slight deviation, being either slightly above or below the parabolic line. These data points are still within proximity of the parabola’s margins. This is due to the inaccuracy of the software used to analyze the position of the object throughout the lab. During the lab, it was challenging to pinpoint the middle of the ball in each frame during the 0.80s. Although the data is slightly inaccurate, the graph from figure 2. can still be interpreted. The graph above displays the projectile motion of the ball under the influence of gravity with a slight margin of error. To examine the parameters in the fit equation, the kinematics equation y = y + v t − 1 gt2 can be used. The value A is represented as (- g), the value B is represented as the velocity of the y-direction (v 0y), and the value C is represented as the initial y position (y 0). The parameter value of A is equal to –2.476m/s 2. Through using the gravity constant of 9.80m/s 2 (½), the parameter value is not in proximity of the kinematics equation value of –4.90m/s 2 but is relatively close. The initial position of the object is a little below 0. Although this is inaccurate, the object lies within an acceptable margin (only 1.0m below the y-axis). Taking these inaccuracies into consideration, the data within figure 2. supports the idea of the object moving with a constant acceleration in the vertical direction. This study source was downloaded by 100000815174830 from CourseHero.com on 06-05-2022 01:31:55 GMT -05:00 https://www.coursehero.com/file/74049805/PHYS200-Lab-3pdf/ https://www.coursehero.com/file/74049805/PHYS200-Lab-3pdf/ Figure 4: A collection of data points every 0.034s while portraying the graph of time vs. distance (y-axis) Figure 5: The time vs. Horizontal position graph portraying the velocity of the ball over 24 data points, the values of the fit equation parameter values, and the corresponding fit equation It is important to solve for the object’s velocity in two components. The acceleration of g = 9.8 m/s 2 is acting downwards on the object, only the vertical component of the object will be affected. The object’s horizontal velocity will remain constant over time. When analyzing figure 3, since the object is under constant velocity it can be assumed the rise over run of the graph (slope) is equal between each data point. This creates a straight line that goes through each data point. When examining this graph, select data points have a slight deviation, being This study source was downloaded by 100000815174830 from CourseHero.com on 06-05-2022 01:31:55 GMT -05:00 https://www.coursehero.com/file/74049805/PHYS200-Lab-3pdf/ https://www.coursehero.com/file/74049805/PHYS200-Lab-3pdf/ either slightly above or below the parabolic line. This is due to the inaccuracy of the software used to analyze the projectile motion of the object throughout the lab. Despite the slight inaccuracy of the data collection through the Tracker software, the graph is still interpreted to display a constant velocity with a slight margin of error. The fit equation parameter can be explained using the kinematics equation, x=x0 +vxt. The A value is represented as the velocity in the horizontal direction, the B value is represented as the ball’s initial position, and the x value is the ball’s final position. The B value should equate to 0, but due to inaccuracies when trying to align the ball’s position perfectly with the bottom of the calibration stick and choosing the middle of the ball in the initial frame capture it deviates. Figure 6: A graph representing the distance on the x-axis vs distance on the y-axis Lastly, a comparison was made between the distance on the x-axis and the distance on the y-axis during the projectile’s trajectory. Conclusion In conclusion, while conducting this lab, the data collected demonstrates the ball moved at a constant acceleration during its trajectory. Referring the figure 3, the parabolic graph and data points within a close margin portray a constant acceleration. If the ball was not moving at a constant acceleration, the parabolic curve would not be even on both sides of the apex, it would be more present in one direction. The graph from figure 5 demonstrated the time vs horizontal distance has an equal slope of line with a minimal margin of error. Through this data, it is evident that the velocity was constant in the x-direction. The total distance travelled in both the x-axis and y-axis are reasonable in comparison to the known length. This concludes that the graphs presented within this lab accurately demonstrate the vertical and horizontal distances travelled, the time, and velocities in both directions of the projectile motion of the ball. This study source was downloaded by 100000815174830 from CourseHero.com on 06-05-2022 01:31:55 GMT -05:00 https://www.coursehero.com/file/74049805/PHYS200-Lab-3pdf/ https://www.coursehero.com/file/74049805/PHYS200-Lab-3pdf/ Questions 1. Through the analysis we can understand the A value in the fit equation represents the acceleration of the object due to gravity. When substituting the fit-equation with the kinematic equation y = y + v t − ½gt2. we can observe that gravity (g) must be multiplied by ½. This results in a g value of 4.90m/s2 downwards. The parameter values in figure 3 demonstrate that the value A equals 2.746m/s 2, which is 2.154m/s 2 from the expected value of 4.90m/s 2 2. The velocity in the horizontal direction can be solved by using the kinematics equation with the parameter values mentioned in figure 5. x=x0 +vxt − 2.546x 0 + v x (1.45) − 2.546m = 1.45v x − 1.75m/s = v x The horizontal velocity of the ball during the lab was 1.75 m/s (left) This study source was downloaded by 100000815174830 from CourseHero.com on 06-05-2022 01:31:55 GMT -05:00 https://www.coursehero.com/file/74049805/PHYS200-Lab-3pdf/ Powered by TCPDF (www.tcpdf.org) https://www.coursehero.com/file/74049805/PHYS200-Lab-3pdf/ http://www.tcpdf.org
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