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# lab5 cons of energy 74 out of 85.docx

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School
Arizona State University
Department
Physics
Course
PHY 122
Professor
Dolenko
Semester
Spring

Description
Lab 5: Conservation of Energy By: T.A: Monday at 2:00 p.m Abstract: Objective: The objective of this lab is to verify the conservation of energy in three different settings average+¿−¿∆ g and obtain values for g . ¿ Equipment: The equipment used in this lab was a spring with a hooked mass, a pendulum, a motion sensor, a computer with data studio and LoggerPro and a video of a man shooting a basketball. Procedure: For part one, a pendulum was given an initial speed and the sensor recorded the position versus time. Then, using graphical analysis, a graph was made plotting the total kinetic energy versus time, potential energy versus time and the total energy versus time. Then the kinetic energy was plotted versus the y position. For part two, the spring with weight was given an initial speed and a graph was made using the position versus time to graph the total kinetic energy versus time, potential energy versus time and the total energy versus time. Then, a video was opened of a man shooting a basketball and LoggerPro was used to make a graph of energy versus time from the given positions and respective times. Results: Part 1: Slope of graph 1 (Mechanical Energy vs. Time) = -.0018 +/- .0012 m ggravity∆ g = 9.80 +/- .06 2 s Part 2: Slope of graph 2 (Mechanical Energy vs. Time) = -.00043 +/- .0003 Part 3: Slope of graph 3 (Mechanical Energy vs. Time) = -1.24 +/- .54 Data Analysis Figure 1: Kinetic, potential and total energy (J) of a pendulum versus time (seconds) Kinetic initialotential initialnetic finalotential final 2 Kinetic Energy=.5∗mass∗velocit y ;Potential Energy=mass∗gravity∗height .5∗mass∗velocit y +0=0+mgh .5∗mass∗velocit y =gh2 kineticenergy versusheight=gravity  mass Figure 2: Kinetic energy (J) of a pendulum versus y-position (meters) Figure 3: Kinetic, potential and total energy (J) of a spring versus time (seconds) (velocity) Kinetic Energy= .5*mass* Example Calculation= .5*.62*( 0.9418^2+ 1.618^2)= 1.08 J Potential Energy = mass*gravity*height Example Calculation= .62*9.8*1.806=10.97 J Total Energy = Potential + Kinetic Energy Example Calculation= 10.97+1.08= 12.05 J Figure 4: Kinetic, potential and total energy (J) of a thrown ball versus time (seconds) Discussion: In this lab experiment the theory that was proved was the conservation of energy. This was proved in three different settings (a spring, pendulum and in simple 2D motion). In part one, a pendulum was given an initial speed and from there a linear fit was done on the total mechanical energy. If the slope of the linear fit of the total mechanical energy was 0 then all mechanical energy was conserved, if the slope was below 0 then it was determined that the total energy
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