CONSERVATION OF ENERGY LAB REPORT
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New York University *
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Course
001
Subject
English
Date
Dec 6, 2023
Type
docx
Pages
8
Uploaded by MasterTank12470
1
CONSERVATION OF ENERGY Felecia Hassan, Lab Partner: Ariela Rodriguez Section:007, 10/30/2023
2
I.
DESCRIPTION / OBJECTIVE The main purpose of this lab was to explore the total energy in multiple mechanisms including free fall, and springs. The total energy of and mechanism can be described by the equation E
total
=
KE
+
PE .
The law of Conservation of energy states that energy is neither created nor destroyed. In other word, the total energy (
E
total
¿
of any mechanism should be the same throughout the mechanism. With this law any changes in KE should be offset by changes in PE and vice versa. This lab included the use of a Capstone, motion sensor II, photogate sensor, small bench clamp, double clamp, 90 cm rod, 40 cm rod, brass spring (taped to horizontal rod 25 cm from vertical rod), hook masses, index cards, 30 cm string with loops at both ends, calipers, rubber tube, paper tube about 2.5 cm in diameter, 2 meter ruler, 6 inch ruler, 12 inch ruler, and tape. II.
THEORY During the lab my lab partner and I reviewed examined the mechanisms with both conservative and non-conservative forces. When a force is applied onto a mass and the path taken by the mass influences the force, this force is a non-conservative force. If the path taken by
mass does not influence its force, this force is a conservative force. Conservative forces apply to mechanisms such as the force in a spring or the uniform force due to gravity. The conservative force is defined by this integral : During Section 3 of the lab my lab partner and I aslso explored the relationship between total energy and the velocity of a free falling mass using the equation V
=
√
2
gh
. We get this equation by first considering two equations : 1. the equation for total energy of the tube near the
3
photogate (
E
total
=
1
2
mv
2
)
and 2. The equation for total energy at the time of dropping (
E
total
=
mgh
). Setting equations 1 and equations 1 equal to each other gives us the equation.
V
=
√
2
gh
. III.
PROCEDURE My lab partner and I followed the procedure as stated in the lab manual. IV.
DATA / CALCULATIONS PART III (FREE FALL) DATA . VELOCITY OF TUBE AT VARYING HEIGHTS TRIAL
Velocity (m/s) at h=15 cm
Velocity (m/s) at h= 25 cm
1
1.8262
2.1157
2
1.2567*
2.4787*
3
1.9091
2.1896
4
1.9357
2.0501
5
1.8118
2.0917
Mean
1.8703
2. 1856
Standard deviation
0.054078
0.05069
PART III CALCULAUTIONS a.
When h= 15 cm = 0.15 m a.
v
(
theoretical value
)
=
√
2
gh
b.
v
(
theoretical value
)
=
√
2
(
9.18
m
/
s
2
)
(
0.15
m
)
c.
v
(
theoretical value
)
=
1.7162
m
s
Percent Eror
=
mean experiemental velocity
−
theoretical velocity
theoreticalvelocity
X
100%
Percent Eror
=
1.8703
−
1.7162
1.7162
X
100%
Percent Eror
=
6.35%
b.
When h= 25 cm = 0.25 m a.
v
(
theoretical value
)
=
√
2
gh
b.
v
(
theoretical value
)
=
√
2
(
9.18
m
/
s
2
)
(
0.25
m
)
c.
v
(
theoretical value
)
=
2.215
m
s
Percent Eror
=
mean experiemental velocity
−
theoretical velocity
theoretical velocity
X
100%
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