Essay about Lab 6

Submitted By David-Case
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GS104
Lab Report
Experiment # 6
Hooke’s Law David Case:
February 12, 2015

Experiment #6 Hooke’s Law

Objectives:
To investigate Hooke’s law and to determine the spring constant for two springs and a rubber band.

Materials:
Rubber Band

Computer and Spreadsheet
Scale-Spring-500-g
Tape Measure
Srpings, 2 sizes-Pk

Experiment 1:

This experiment will use a spring scale in place of calibrated weights to increase the force on a spring. However, this method will add an additional step to the experiment. To cancel out the effect of the internal spring of the spring scale, you need to measure the elongation of the spring for each force increment by recording the position of the top and bottom of the spring. If you only record the bottom position of the spring, you would measure the combined spring constant of the spring and the internal spring of the spring scale.

Procedure: Ensure that you do not stretch a spring beyond its capacity to recover by first performing a stretch test to estimate the spring’s full-elongation capacity:
● Hold the spring at both ends and pull it apart with only moderate force, not with so much force that you permanently distort it.
● Estimate how many centimeters (cm) you were able to stretch the spring and mentally divide that stretch by the number of experimental increments you wish to test.
● For each test step, you will add only sufficient weight or force to increase the stretch by one increment. For example, if you can stretch a spring 10 cm and need 10 measurements, each experimental increment should be 1 cm and you should add enough force at each step to stretch the spring by only 1 cm.

1. Suspend the spring scale from a wall hook, doorknob, or something similar with a flat surface behind it to which you can tape a meter tape.
2. Perform a stretch test as described above on the first spring and then suspend it from the scale as shown at right.
3. Position and affix the meter tape along the side of the spring. The location of the beginning of the tape is not important as you will record the top and bottom measurement for each force addition.
4. Hold the bottom hook of the spring and gently pull straight down with sufficient force to stretch the spring 1/10 of its elongation capacity. Now measure and record the position of the top and the bottom of the spring. The difference will be the exact elongation of the spring. Also, record the force required to create that elongation.
Continue to stretch the spring and record data in steps, which add sufficient force to achieve an additional 1/10 elongation. You will record 10 sets of force and elongation data. The elongations recorded at each step are already cumulative elongations.
5. Repeat the above steps with a second spring of a different stiffness.
6. Finally repeat the above procedures using a small rubber band. Then continue adding weight until the rubber band breaks or is on the verge of breaking or nearly stops stretching with added force

Data Table 1 :

Force (N)
Top position of spring, cm
Bottom position of spring, cm
Elongation, cm Bottom reading – top reading
Data Point 1
0
1
4
3
Data Point 2
0.65
1.6
5
3.6
Data Point 3
0.9
2.1
6
3.8
Data Point 4
1.25
2.6
7
4.4
Data Point 5
1.6
3
8
5
Data Point 6
1.8
3.4
9
5.6
Data Point 7
2.0
3.8
10
6.1
Data Point 8
2.5
4.2
11
6.8
Data Point 9
2.6
4.5
12
7.6
Data Point 10
3.0
5
13
8.1

Data Table 2:

Force (N)
Accumulated (cm) Elongation (stretch)
Accumulated (m) Elongation (stretch)
Elastic PE (Joules)
Data Point 1
.5
8.8
.088
.00199
Data Point 2
1.5
9.6
.096
.00680
Data Point 3
2.5
11.6
.115
.01655
Data Point 4
3.5
13.5
.136
.03195
Data Point 5
4.5
18
.18
.06510
Data Point 6
5.5
20
.3
.011
Data Point 7
6.5
23.5
.23
.01720
Data Point 8
7.5
26
.26
.2530
Data Point 9
8.5
27.9
.29
.3333
Data Point 10
9.5
30.5
.31
.4279

1. For each data row in each of your tables calculate: Elastic PE = 1/ 2kx^2
2. For each spring and
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