Lab Report 6
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Apr 3, 2024
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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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