lab#3Bworksheet

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Salt Lake Community College *

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2010

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Physics

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Jun 1, 2024

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Name: Bryan Meza Lab #3B: Motion in Two-Dimensions Objectives: In this lab, we'll roll a ping-pong ball off a table and watch it land on the floor. Two photogates that are attached to the end of the table will be used to measure the ball's velocity prior to it rolling off. This will provide us with a graph that we can use to apply the ideas from two-dimensional kinematics and predict the ball's impact point in projectile motion. When determining the impact location, we will attempt to roll the ball off the table many times. Equipment: Station #: 5 Partner: Tristan , rating: #5/5  Computer  Logger Pro Program  LabQuest Mini Interface  Two Vernier Photogates  Ping-pong ball  Plumb bob  Ramp  Masking tape  Ruler  Meterstick Preliminary Questions: #1: You would need to be aware of the ball's speed and the height of the drop you are making. The ball must be dropped in exactly the same manner on each trial, with the assumption that gravity will remain constant. #2: I would use the formula vf = a x t a = gravity #3 Given that velocity is a vector quantity, you would also need to know the direction of the item and the separation between the two photogates. Procedure: For this lab we had to flip the ramp upside down from the previous lab we did so it could roll of smoothly and in straight line. This is due to the fact that it won’t skew our results. We then had to have a set point of where we will drop the ball from for every trial. Before we started the experiment, we had to measure the distance between the photogates, and it measured 10 cm which is exactly the measurement we want. We also had to measure the distance between the table and the floor. We then started our trials and moving on with this experiment. By releasing the ball from the top of the ramp and letting it pass through the photogates, we are going to measure the velocity of the ball and trying to predict

where the ball will hit on the ground. After our trials, we had to use the plumb bob to mark the origin point and from there we would place the ruler on the origin point and predicting where the ball will hit. #7: Data Table #1 Trial Velocity (m/s) 1 .842 2 .893 3 .890 4 .896 5 .902 6 .897 7 .898 8 .897 9 .895 10 .902 #8: Average[= 0.8912 (m/s) * Mean 0.8962 m/s *median *Mode .902 and .897 Min=.842 Max=.902

Data Table #2 Maximum Velocity .902 m/s Minimum Velocity .842 m/s Average Velocity 0.8962 m/s Table height, h .73 m Maximum impact point m Minimum Impact point m Predicted Impact Point m Actual Impact Point m #10 & 11: Δx=?, .34 m Δy=?, .73 units m, value= .73 t=?, .386 units s, value= .386 V 0x =?, 0.8962 units, values=??? V 0y =?, 0 units?, value=? a x =?, 0 units?, value=? a y =?, 0 units?, value=? Tested value: .32m Use y-equation, solve for t. Show calculation of t:

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Plug t into x-equation, solve for Δx 3 times using each velocity (min, max & ave) to get your range and predicted impact points. Show your work!  vf=at  v=∆s/∆t  ∆x=v0t+1/2axt2  ∆y=voyt+1/2ayt2 Analysis: #1: I would not expect any of these numerical predictions to be exact because we as humans cannot drop the ball from the exact same position every single time. That is impossible because of human error. A range would be more appropriate because we dropped the ball from around the same position every time. #2: Yes, it was; therefore, our prediction was fairly close #3: The air resistance and friction would be the other measurements that could potentially affect the range #4: We did not account for air resistance in our original prediction. Air resistance could change the distance of the ball since it would down the ball. Therefore, the ball would travel less distance the ball in the same amount of time Conclusion: In this experiment, we measured the ping-pong ball's velocity using two photogates. Given that we were able to assess the ball's velocity, I think the experiment's goals were met. With that, we attempted to foretell the ball's projected- motion impact spot. We had to consider each try in order to determine the precise location where it would fall. My initial inquiries confirmed my predictions. We may have dropped the ball from a different location, which would have tampered with our results. I would place the ball against a wall if we were to repeat this experiment so that it could start from the same location each time. I discovered how crucial it is to take air resistance and friction into account when calculating our two-dimensional kinematics.

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