The use of Microsoft excel in the last five years proves a positive influence for the learning
process both students and teachers. In physics learning, this software is quite often used in
teaching such as on thermodynamic topics (Tanaka, Asakura, & Avramidis, 2017), waves on
the membrane (Eso, Safiuddin, Agusu, & Arfa, 2018) and several other topics. Using e-learning
tools have positive impact of the methodology on the students’ engagement and
motivation (Fabregat-Sanjuan, A., Pàmies-Vilà, R., Ferrando Piera, F., & De la Flor López, S.
(2017). This simple software is helpful in e-assessment (Azevedo & Pedrosa, 2017). Beyond
these highlighted benefits for students, teachers gain time, effort and workload reduction
when using automatic spreadsheet corrector (Serra, Bikfalvi, Masó, Carrasco, & Garcia,
2017). Because of that, this research developed Microsoft excel as a learning media in the
classroom.
Simple Harmonic Motion
A common, very important, and very basic kind of oscillatory motion is simple harmonic
motion such as the motion of an object attached to a spring. In equilibrium, the spring exerts
no force on the object. When the object is displaced an amount x from its equilibrium
position, the spring exerts a force -kx, as given by Hooke's law:
F = -kx where le is the force
constant of the spring, a measure of the spring's stiffness. The minus sign indicates that the
force is a restoring force; that is, it is opposite to the direction of the displacement from the
equilibrium position. The acceleration is proportional to the displacement and is oppositely
directed. This is the defining characteristic of simple harmonic motion and can be used to
identify systems that will exhibit it: Whenever the acceleration of an object is proportional to
its displacement and is oppositely directed, the object will move with simple harmonic motion
(Tipler & Mosca, 2007).
Consider a mass attached to a spring with spring constant k. The
spring exerts a force –kx, where x is the displacement of the mass from equilibrium. The law F
= ma is thus
We can integrate this equation twice to obtain the solution, which is
Where
116
International Journal of Science and
Business
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Volume
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Issue
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Year
: 2019
Page
: 114-123
You can confirm that equation is indeed the solution of by differentiating. Thus:
The parameters A,
, and f are constants of the motion. To give physical significance to these
ω
constants, it is convenient to form a graphical representation of the motion by plotting x as a
function of t. First, A, called the amplitude of the motion, is simply the maximum value of the
position of the particle in either the positive or negative x direction. The constant
is called
ω
the angular frequency, and it has units 1 of rad/s. It is a measure of how rapidly the
oscillations are occurring; the more oscillations per unit time, the higher the value of
ω
(Serway & Jewett, 2018). The maximum value of x is A, the maximum value of v is A
, and the
ω
maximum value of acceleration (a) is A
ω
2
. When the displacement is large, the mass stops and
v = 0. At this point the spring is fully stretched and F and a are both large (but negative)
(Browne, 2013).

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