TC Neuhs
10/22/07
Physics 11
E. Sabancilar
Lab #3: Work and Energy
Introduction and Theory:
The purpose of this lab was to establish and compare the relationship between work and energy
in three different situations.
One being work done by a constant force, another being work done
to stretch a spring and another being work done to accelerate a cart.
By using force and motion
sensors we can find the force and distance traveled by an object.
By graphing them and finding
the area under the curve we find the work done because
W = f ∙ x
W =
x1x2f dx
Where W is word done, f is a force and x is the distance.
We can then compare the work that we
have found to energy using the work energy theorem
W = ∆E
W = ∆E
k
+ ∆U
∆E
k
=
(

)
12m v22 v12
Where ∆E is the change in kinetic energy and ∆U in the change in potential energy.
In words
whenever work is done there is an increase in either potential or kinetic energy.
After looking at
the equations we can look into the relationships between work and energy by using our sensors
and the three different scenarios.
Data and Performance:
See attached data sheet for raw data.
There is not too much data needed to complete this lab.
In part one we lifted a .199kg mass by a
constant force approximately .5 meters and then found the integral of the force versus position
graph.
In part two we stretched a spring until it reached what appeared to be its maximum
extension.
Then, using the force versus position graph found the slope, which is the spring
constant (k), and the integral of the curve.
In part three we pushed a cart along a path measuring
the initial applied force, final velocity and the integral of the force versus position graph.
In each
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View Full Documentof the three scenarios the integral of the force versus position graphs is the work done in that
scenario.
Analysis:
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 Spring '08
 Gallager
 Physics, Energy, Force, Kinetic Energy, Potential Energy, Work, NM

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