Lab Report 6

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Montclair State University *

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111A

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Physics

Date

Apr 3, 2024

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pdf

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9

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Physics Laboratory Report Lab number and Title: Lab 125: Conservation of Energy in Spring-Mass System Name: Sami Choudhury Group ID: N/A Date of Experiment: _ 10 /_ 31 _/__ 22 ___ Date of Report Submission: 8 __/_ 5 __/__ 22 Course & Section Number: Physics 111A Lab Instructor’s Name: Professor Dieonna George Partners’ Names: Nick, Gulam, Alexis, Sahil 1. INTRODUCTION 1.1 Objectives: - 1.1.1 This experiment's purpose will be to demonstrate that mechanical energy is conserved in an oscillating spring-mass system. 1.2 Theoretical Background: - 1.2.1 The law of conservation of energy is KEi + PEi = KEF + PEF, as we are aware from the prior lab. where the end mechanical energy equals the starting mechanical energy (the sum of the initial potential and kinetic energy). The application of the law of conservation of energy is different in a spring mass system, though. Using our motion sensors and software, we will conduct an experiment using a body of mass M suspended on a coil spring with constant spring constant K to track how the object's KE and PE vary with displacement. The increase in mass will reveal the various displacements. We'll carry out our experiment and assess the answers to the equations from the lab manual. We shall contrast the results of the experiment.
EXPERIMENTAL PROCEDURE
2.2) Experimental Variables: - M = mass (0.507 kg) - K = Spring Constant (N/m) - PE = Potential Energy (J) - KE = Kinetic Energy(J) - Weight = Mass times Gravity(N) - ME = Mechanical Energy (J) - H = position(m) - G = 9.81 ?/𝑠 2 2.3) Procedure: - We had to make sure that the spring was a decent height so that it does not come in contact with the sensor when the 500g weight is attached. - We will measure Height v. Time. The measurement may fluctuate, so the average should be used to determine the height for the weight. - We will need to utilize the formula ∆𝑥 = ℎ 0 − ℎ 𝑖 - For part II of the experiment we will stretch the spring straight down, and record 3-4 oscillations.
3.) Results: - 3.1 Experimental data: - Table I M M+100g M+200g M+300g M+400g M+500g Mass (g) 50.3 150.4 251.4 350.4 450.4 550.4 Mass (kg) .0503 0.1504 0.2514 0.3504 0.4504 0.5504 Weight (N) 0.493 1.4739 2.4639 3.4339 4.4139 5.3939 Position h0 h1 h2 h3 h4 h5 Position, (m) .44 .417 .3901 .3492 .3086 .27 Displacement (m) 0 .013 .05 .0908 .1314 .17 - 3.1.2 - Table II Point # Displacement (m) Velocity, v (m/s) 𝐾𝐸 = 1/2 ?𝑣 2 (J) PE=1/2kx^2 + (mg)^2 / 2k E mech 1 .049 .0230 .0000129 1.44256 1.4425 2 .0565 .5260 .007816 1.663 1.6639 3 .1295 .0291 .000054831 3.81248 3.8125
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