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# lab5 cons of energy 74 out of 85.docx

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Arizona State University

Physics

PHY 122

Dolenko

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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