spring's image centimeter scale with mirror Xf spring Figure 4. How to correctly measure the position of the bottom of the spring when the weight hanger carries the required added masses. Table #1: Determination of the spring constant K Mh (g) 50 g = 9.80 m/s² xo (cm) = 0.2 MT=Mh+Msw F = W = Mrg x = xf-Xo K = F(N) x(m) Msw Мт Мт F Xf ΧΟ x K (g) (g) (kg) (N) (cm) (cm) (m) (N/m) 0 0 50 1.1 100 1.5 150 2.4 200 3.5 250 4.1 Average force constant Kavg Force constant Ktren from the slope of the trendline in the graph % relative difference between Kavg and Ktren Mh: Mass of the weight hanger Msw: Mass of added slotted weights MT: Total Mass W: Weight of hanger plus slotted weights xo: Position of the spring's bottom (unstretched) xf: Position of the spring's bottom (stretched) x: Elongation of the spring K: Force constant of the spring 38

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spring's image
centimeter scale
with mirror
Xf
spring
Figure 4. How to correctly measure the position of the bottom of the spring when the
weight hanger carries the required added masses.
Table #1: Determination of the spring constant K
Mh (g)
50
g = 9.80 m/s²
xo (cm) =
0.2
MT=Mh+Msw
F = W = Mrg
x = xf-Xo
K =
F(N)
x(m)
Msw
Мт
Мт
F
Xf
ΧΟ
x
K
(g)
(g)
(kg)
(N)
(cm)
(cm)
(m)
(N/m)
0
0
50
1.1
100
1.5
150
2.4
200
3.5
250
4.1
Average force constant Kavg
Force constant Ktren from the slope of the trendline in the graph
% relative difference between Kavg and Ktren
Mh: Mass of the weight hanger
Msw: Mass of added slotted weights
MT: Total Mass
W: Weight of hanger plus slotted weights
xo: Position of the spring's bottom (unstretched)
xf: Position of the spring's bottom (stretched)
x: Elongation of the spring
K: Force constant of the spring
38
Transcribed Image Text:spring's image centimeter scale with mirror Xf spring Figure 4. How to correctly measure the position of the bottom of the spring when the weight hanger carries the required added masses. Table #1: Determination of the spring constant K Mh (g) 50 g = 9.80 m/s² xo (cm) = 0.2 MT=Mh+Msw F = W = Mrg x = xf-Xo K = F(N) x(m) Msw Мт Мт F Xf ΧΟ x K (g) (g) (kg) (N) (cm) (cm) (m) (N/m) 0 0 50 1.1 100 1.5 150 2.4 200 3.5 250 4.1 Average force constant Kavg Force constant Ktren from the slope of the trendline in the graph % relative difference between Kavg and Ktren Mh: Mass of the weight hanger Msw: Mass of added slotted weights MT: Total Mass W: Weight of hanger plus slotted weights xo: Position of the spring's bottom (unstretched) xf: Position of the spring's bottom (stretched) x: Elongation of the spring K: Force constant of the spring 38
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