What is the spring constant? Table 1 Force (N) Top Spring Position(m) Bottom Pos
ID: 1376118 • Letter: W
Question
What is the spring constant?
Table 1
Force
(N)
Top Spring Position(m)
Bottom Position(m)
Elongation
(m)
Elastic
PE(J)
Data Point 1
0.4
0.144
0.158
0.014
Data Point 2
0.7
0.148
0.166
0.018
Data Point 3
1.0
0.152
0.172
0.020
Data Point 4
1.2
0.156
0.180
0.024
Data Point 5
1.4
0.160
0.183
0.023
Data Point 6
1.6
0.164
0.193
0.029
Data Point 7
1.8
0.168
0.197
0.029
Data Point 8
2.0
0.172
0.202
0.031
Data Point 9
2.3
0.176
0.214
0.038
Data Point 10
2.6
0.180
0.220
0.040
Table 1
Force
(N)
Top Spring Position(m)
Bottom Position(m)
Elongation
(m)
Elastic
PE(J)
Data Point 1
0.4
0.144
0.158
0.014
Data Point 2
0.7
0.148
0.166
0.018
Data Point 3
1.0
0.152
0.172
0.020
Data Point 4
1.2
0.156
0.180
0.024
Data Point 5
1.4
0.160
0.183
0.023
Data Point 6
1.6
0.164
0.193
0.029
Data Point 7
1.8
0.168
0.197
0.029
Data Point 8
2.0
0.172
0.202
0.031
Data Point 9
2.3
0.176
0.214
0.038
Data Point 10
2.6
0.180
0.220
0.040
Explanation / Answer
F = kx
F1 = 0.4 N
x1 = 0.014-x
F2= 0.7
x2 = 0.018-x
0.4 = k*(0.014-x)
0.7=k*(0.018-x)
0.4*(0.018-x) = 0.7*(0.014-x)
.0072 - 0.4x = 0.0098 - 0.7x
0.3x = 0.0026
x=0.00867 m
0.4 = k*(0.14-0.00867)
k =3.045N/m
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