|
From Hooke's law we learned:
mg = - Fel(u)
= Celu
→
Cel
= mg/u
Let 
represent the length of the spring without any load
and +u
the length of the spring with a load.
In this experiment
=10.0 cm
and
g=9.81 m/s2.
The previous results are collected in the table below.
|
mass (grams)
|
+u
(cm)
|
u (cm)
|
mg/u (N/m)
|
| | | | |
|
50
|
12.7±0.1
|
2.7±0.1
|
18.2±0.7
|
|
100
|
15.4±0.1
|
5.4±0.1
|
18.2±0.3
|
|
150
|
18.1±0.1
|
8.1±0.1
|
18.2±0.2
|
|
200
|
21.0±0.1
|
11.0±0.1
|
17.8±0.2
|
|
250
|
23.6±0.1
|
13.6±0.1
|
18.0±0.1
|
We find
Cel=18.0±0.1 N/m
|
|