ime uncertainty - 1s uncertainty of average period =2s mass 10 (kg) (s) At for 10 cycles (s) average T (s) k σκ (N/m) (N/m) 0.36 0.09 0.04 1 1 6 9.5 5.5 4 8.5 85 45 34 4.5 3.4 The formula to determine σk (spring constant uncertainty) is given below. In this formula, ok is the spring constant uncertainty, k is the spring constant, T is the average period, and σ+ is the uncertainty of the average period. 2ko For each case, using the values you calculated for k & σk, state the range for the spring constant in the table below. mass (kg) 0.36 0.09 0.04 minimum k (N/m) maximum k (N/m)

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pos (m)
0.8
0.7
0.6
0.5
POSITION vs. TIME GRAPH
m = 0.36 kg
POSITION vs. TIME GRAPH
m = 0.09 kg
pos (m)
0.8
0.7
wwwwww
0.6
0.5
t(s)
1 2
3
4 5 6 7 8 9
10
pos (m)
0.8
0.7
0.6
www
0.5
t(s)
1 2 3
4 5 6
7
8
9
10
time uncertainty -1s
uncertainty of average period = 2 s
POSITION vs. TIME GRAPH
m = 0.04 kg
wwwwwwwwwwwww
t(s)
1 2 3 4 5 6 7 8 9 10
mass
(kg)
0.36
0.09
0.04
(s)
1
1
6
9.5
5.5
4
t10
(s)
At for 10 cycles
(s)
8.5
4.5
3.4
.85
.45
.34
average T
(5)
k
(N/m)
σκ
(N/m)
The formula to determine σ (spring constant uncertainty) is given below. In this formula, σk is the spring constant uncertainty, k is the spring constant, T is the average period, and σ is the uncertainty of the average period.
2KOT
For each case, using the values you calculated for k & σk, state the range for the spring constant in the table below.
mass
(kg)
0.36
0.09
0.04
minimum k
(N/m)
maximum k
(N/m)
T
Transcribed Image Text:pos (m) 0.8 0.7 0.6 0.5 POSITION vs. TIME GRAPH m = 0.36 kg POSITION vs. TIME GRAPH m = 0.09 kg pos (m) 0.8 0.7 wwwwww 0.6 0.5 t(s) 1 2 3 4 5 6 7 8 9 10 pos (m) 0.8 0.7 0.6 www 0.5 t(s) 1 2 3 4 5 6 7 8 9 10 time uncertainty -1s uncertainty of average period = 2 s POSITION vs. TIME GRAPH m = 0.04 kg wwwwwwwwwwwww t(s) 1 2 3 4 5 6 7 8 9 10 mass (kg) 0.36 0.09 0.04 (s) 1 1 6 9.5 5.5 4 t10 (s) At for 10 cycles (s) 8.5 4.5 3.4 .85 .45 .34 average T (5) k (N/m) σκ (N/m) The formula to determine σ (spring constant uncertainty) is given below. In this formula, σk is the spring constant uncertainty, k is the spring constant, T is the average period, and σ is the uncertainty of the average period. 2KOT For each case, using the values you calculated for k & σk, state the range for the spring constant in the table below. mass (kg) 0.36 0.09 0.04 minimum k (N/m) maximum k (N/m) T
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