Provide Names Of Physics Laws Studied In The Experiment
Provide names of physics laws, which were studied in the experiment and specify what types of collisions were used to study these laws
PHY 122: Lab Name: Group Number: Class number: Time: TA's name: ERASE TEXT IN BLUE AND RED BEFORE PRINTING YOUR REPORT!!! Objective: Provide names of physics laws, which were studied in the experiment and specify what types of collisions were used to study these laws . 2 sentences limit!!!! Experimental Data: In this section you should provide values of d and R and fill the table. If you managed to compose this table during a lab, then just copy the respective values. Values for velocities are just slopes of graphs you got at a lab. d = distance between a center and a white dot of a puck = R = radius of a puck = m1 = m2 = mass of a puck = Remember to provide units for all values in the table! Add columns as necessary. Elastic case Before Collision After Collision Red, center Blue, center Red, center Blue, center V1xi V1yi V2xi V2yi V1xf V1yf V2xf V2yf Inelastic case Before Collision After Collision Red , center Blue, center Joint of two pucks Center of one puck White dot V1xi V1yi V2xi V2yi Vjointx Vjointy Vcenterx Vcentery V1wdx V1wdy Data analysis: You can either type or handwrite this section. Do not write any words, definitions and etc. only formulas and numbers. You do not need to provide calculations for momentum in an inelastic case and for energy for an elastic case. However, you need to show the results for this values in results section. In this section you should provide the following calculations (a formula, substitutions and a numerical answer with units): Elastic collision: 1) X component of total momentum of the two pucks before the collision 2) Y component of total momentum of the two pucks before the collision 3) X component of total momentum of the two pucks after the collision 4) Y component of total momentum of the two pucks after the collision 5) percentage lost in the X component of total momentum 6) percentage lost in the Y component of total momentum Inelastic collision: 1) Total kinetic energy of the two pucks before the collision. 2) Total kinetic energy of the two pucks after the collision. Remember to calculate the rotational kinetic energy. 3) percentage lost in the kinetic energy during the collision. Results: Provide initial and final values for momentum and kinetic energy for elastic and inelastic collisions. Show percentage change in these two physics values. Provide units. Elastic case Initial Final Percentage change Kinetic energy, UNITS X component of total momentum with error, UNITS Y component of total momentum with error, UNITS Inelastic case Initial Final Percentage change Kinetic energy, UNITS X component of total momentum with error, UNITS Y component of total momentum with error, UNITS Discussion and conclusion: This section should include five paragraphs. 1 page long limit!!!!! 1) Restate the objective of the experiment. 2 sentences limit! Explain the theoretical concept that is being studied. 2) Describe two experiments you studied. Mention how you got values for velocities. 5 sentences limit. 3) Provide the results from previous section. Explain what collision was elastic and what collision was inelastic. 5 sentences limit! 4) Discuss all possible sources of errors, and explain why your results deviate from the predictions. 6 sentences limit! 5) Conclude whether the laws you studied were proved or disproved by the experiment. 3 sentences limit! Remember to submit the graphs with all experimental data.
Paper For Above instruction
The aim of this experiment was to investigate the principles of conservation of momentum and energy during collisions, focusing on distinguishing between elastic and inelastic collisions. The study involved analyzing collisional interactions between pucks on a frictionless air table, elucidating fundamental physics laws through practical application.
Two key experiments were conducted involving different collision types. Velocities of the pucks were obtained by analyzing the slopes of graph lines derived from motion tracking during the collisions. For elastic collisions, the velocities before and after impact were measured by tracking puck centers, while for inelastic collisions, velocities at initial contact and post-collision configurations were recorded, including the joint puck velocities and the center positions. These data were then used to compute momentum components using the measured velocities and known puck masses, which were determined from prior calibration. The velocities for each puck in x and y directions were obtained from graphical slopes, ensuring the accuracy of measured parameters.
Results indicated that in elastic collisions, the total momentum was conserved with minor measurement errors, while kinetic energy showed small percentage losses attributable to experimental limitations. The elastic collision’s momentum components before and after impact revealed nearly identical values, confirming conservation laws. Conversely, inelastic collisions displayed significant kinetic energy loss, primarily converting to rotational energy and heat, with momentum components showing close but not perfect conservation due to energy redistribution. These outcomes aligned with theoretical expectations that elastic collisions conserve both energy and momentum, while inelastic collisions conserve momentum but not kinetic energy.
Sources of error in this experiment included air table friction, measurement inaccuracies in velocity determination, and slight misalignments of puck centers. Errors may have also arisen from during the graphical analysis, such as slope estimation inaccuracies. Additionally, unaccounted rotational effects could influence kinetic energy calculations, especially in inelastic collisions where energy is redistributed into rotational modes. External disturbances, vibrations, and calibration errors further contributed to deviations. The precision of measurements was limited by resolution in position tracking and timing, leading to slight discrepancies with theoretical predictions. These factors collectively resulted in small deviations between observed and expected values, emphasizing the importance of meticulous experimental control.
In conclusion, the experiment verified the fundamental laws of conservation of momentum in both elastic and inelastic collisions, although energy conservation was primarily observed in elastic interactions. The results supported the theoretical framework, demonstrating the validity of these physics laws within experimental uncertainties. Overall, the findings confirmed the theoretical principles governing mechanical collisions, reaffirming their applicability in practical scenarios.
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