Lab 02 Acceleration Due to Gravity
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Acceleration Due to Gravity
Names of Participants______________Justin Leopard
______________ Date________8/27/2021
_____
Acceleration Due to Gravity
INTRODUCTION
:
The purpose of this lab is to demonstrate that a free-falling
body undergoes constant acceleration (g). The Behr Acceleration of Gravity
apparatus can be used to record the fall of a small object on a wax coated paper
tape with a reasonable accuracy (< 1%). The resulting tape can be used to
analyze uniformly accelerated motion.
OPERATION
:
The Behr acceleration apparatus is diagramed below. The device
consists of an electromagnet atop a stand which may be adjusted to the vertical
(with the aid of a plumb bob) by three leveling screws at it base. The
electromagnet is attached by wires to a power supply, which when energized will
suspend the object at the top of the device. Along the length of the stand are two
spark wires attached to a synchronous spark timer (which produces a high voltage
spark 60 times each second.) When the electromagnet is de-energized the object
falls between the spark wires causing a spark to jump from one wire to the other
along a metal ring attached to the object. Between the object and one of the spark
wires is placed a wax coated tape sensitive to the heat generated by the spark.
The dots created on the tape record the position of the falling object 60 times each
second allowing the determination of its velocity and acceleration.
paper tape for analysis
11
Acceleration Due to Gravity
APPARATUS
:
• Behr acceleration apparatus • synchronous spark timer
• wax tape • electromagnetic power supply • meter stick
PROCEDURE: 1.
Because of the danger associated with the use of high voltage, the instructor
will operate the apparatus for the student and provide the wax coated tape for
analysis. Examine the tape for skipped dots and ask the instructor how to
record them in the Data table.
2.
Place the tape on the table and stand a meterstick on edge atop the tape.
Align the end of the meterstick with the first clear dot and record the positions
(y) of the object in a data table. DO NOT measure the distance between the
dots.
3.
Subtract consecutive positions to determine the distance the object traveled
between measurements (
Δ y
=
y
2
−
y
1
) and record in the data table.
4.
Calculate the average velocity of the object using a time interval (
t) of 1/60
second (v =
y /
t) and record in the data table. DO NOT divide by the
time values, divide
y by 1/60 sec (divide by 1/60 = multiply by 60) for each
velocity value.
5.
In the data table include a column for the time (t) at which the velocity is
determined starting with 1/60 second, then 2/60 sec, etc. USE DECIMAL
VALUES.
6.
Construct a graph of velocity (v) versus time (t).
7.
Calculate the slope of the line. This value corresponds to the acceleration of
the falling object (see Graph section).
8.
Compare your slope with the correct value of g by calculating a % error.
12
Acceleration Due to Gravity
DATA:
∆t
=
(
1
/
60
)
sec ,g
=
981
cm
/
s
2
n
t (s)
y (cm)
y (cm)
v =
y/
t (m/s)
1
0.000
0
0
1.50 .900 2
0.016
7
1.50
1.50
.900
3
0.033
3
3
2
1.200
4
0.050
0
5
2.10
1.260
5
0.066
7
7.10
2.30
1.380
6
0.083
3
9.40
2.80
1.680
7
0.100
0
12.20
2.80
1.680
8
0.116
7
15
3.30
1.980
9
0.133
3
18.30
3.50
2.100
10
0.150
0
21.80
3.80
2.280
11
0.166
7
25.60
3.90
2.340
12
0.183
3
29.50
4.30
2.580
13
0.200
0
33.80
4.60
2.760
14
0.216
7
38.40
4.80
2.880
15
0.233
3
43.20
5.30
3.180
16
0.250
0
48.50
5.10
3.060
17
0.266
7
53.60
5.80
3.480
13
Acceleration Due to Gravity
18
0.283
3
59.40
5.60
3.360
19
0.300
0
65
6.40
3.840
20
0.316
7
71.40
9.05
5.430
21
0.333
3
80.45
11.05
6.630
22
0.350
0
91.50
7.30
4.380
23
0.366
7
98.80
7.40
4.440
24
0.383
3
106.20
7.70
4.620
25
0.400
0
113.90
-113.9
-68.340
GRAPH:
The velocity equation for v
(a) and the equation of a straight line (b) are
v
f
=
g×t
+
v
0
(
a
)
y
=
mx
+
b
=
slope×x
+
y ̵° intercept
(
b
)
Notice that if the velocity is plotted on the y-axis and time on the x-axis, then the
slope of the line will correspond to the acceleration.
14
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mm₂)
F = G(
d²
8
Gravitational, Electrical, Magnetic, and Nuclear
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F. = 6.673x10 "((150)(150))
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ons who out in or betsool elboido
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