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Length of the Spring: Lo = 0.138 Real Constant: Kreal = 10- Table I: Hooke's Law. Trials 2 3 4 5 6 Mass .150 200 250 .350 m(kg) Force on the 0.96...
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Question

LAB QUESTIONS

1.     Describe your relationship, what are the mathematical meaning of your slope and your y-intercept?

2.     Write the mathematical equation showing the relationship between Force and elongation.

3.     Determine the spring constant from the slope of the best fit line;

4.     Determine the percentage error in the spring constant vs. its real value.



USE the data from table 1 only to answer the question (disregard table II)

L9- data (2).png


L9- Fs vs L.png

L9- data (2).png
DATA:
Length of the Spring: Lo = 0.138 Real Constant: Kreal = 10-
Table I: Hooke's Law.
Trials
2
3
4
5
6
Mass
.100
.150
200
250
.300
.350
m(kg)
Force on the
0.98
1.47
1.96
Spring
2.45
2.94
3.43
Fs (N)
Length
210
255
.30
.360
.407
457
L(m)
Increase in
072
Length
0.117
0.172
0.222
0.269
0.319
AL (m)
Table II: Oscillation
Trials
2
3
4
5
6
Mass m(kg)
100
150
200
250
300
350
A(m)
0.02481
0.01546
0.03057
0.03305
0.03123
0.06819
B(rad/s)
9.497
7.894
6.853
6.173
5.647
5.250
C(rad)
3.289
0.3518
4.598
3.569
4.002
4.713
T(s)
0.661
0.795
0.916
1.017
1.112
1.197
T2 (s)
0.436
0.632
0.839
1.034
1.236
1.432
f(Hz)
1.512
1.257
1.091
0.983
0.899
0.835
T= period// f= frequency
States)
Focus
L9- Fs vs L.png
No Device Connected «amwamhwna Force on the Spring (N) r
Force on the Spring vs Change in Length Linear Fit for: Data set | Force on the Spring
F5 = mx+b m (Slope): 9.346 N/m b (V—Intercept): 02334 N Correlation: 0.9997 RMSE: 0.02293 N 0.2
Change in Length (m)
r

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