Part 2: Graphical Analysis of Data Un = 0·004 Un= 0.000 For many spring-mass systems, the amount a spring stretches when it suspends a mass is proportional to the amount of mass supported by the spring. This is called Hooke's law. We will test that here. Directions: Suspend a hanger on a spring and record the position of the bottom of the hanger. Add a known mass to the hanger and record the position of the hanger and calculate the displacement of the spring. WATCH SIG. FIGS.! 15.03 25.04 35.06 45.07 65.12 85171 105.11 110.31 115.36L Initial Position of Hanger: 37.2cm Table 4- Mass vs. Displacement Mass (grams) J Position (cm) 37.8 391 40.4 41.6 42.8 45.6 48.4 511 51.9 Displacement Mass/Position (cm) 0.5 1.9 २.२ ५.५ 5°6 8.4 13.9 14.7 15.3 (grams/cm) B 7.9 2.8 8.0 8.0 2.8 7.60 2.56 7.50 7.60 /Displacement Analysis 1. Plot mass of spring versus displacement of spring (y vs. x). Perform a fit using y=mx+b and correctly report the slope and y-intercept. Copy and paste the graph below. Don't forget a figure caption. Slope= y-intercept=
Part 2: Graphical Analysis of Data Un = 0·004 Un= 0.000 For many spring-mass systems, the amount a spring stretches when it suspends a mass is proportional to the amount of mass supported by the spring. This is called Hooke's law. We will test that here. Directions: Suspend a hanger on a spring and record the position of the bottom of the hanger. Add a known mass to the hanger and record the position of the hanger and calculate the displacement of the spring. WATCH SIG. FIGS.! 15.03 25.04 35.06 45.07 65.12 85171 105.11 110.31 115.36L Initial Position of Hanger: 37.2cm Table 4- Mass vs. Displacement Mass (grams) J Position (cm) 37.8 391 40.4 41.6 42.8 45.6 48.4 511 51.9 Displacement Mass/Position (cm) 0.5 1.9 २.२ ५.५ 5°6 8.4 13.9 14.7 15.3 (grams/cm) B 7.9 2.8 8.0 8.0 2.8 7.60 2.56 7.50 7.60 /Displacement Analysis 1. Plot mass of spring versus displacement of spring (y vs. x). Perform a fit using y=mx+b and correctly report the slope and y-intercept. Copy and paste the graph below. Don't forget a figure caption. Slope= y-intercept=
Related questions
Question
Using the pic … plz answer these question briefly
1- The spring is characterized by the spring constant, moreover, the force per displacement. How is the slope related to the spring constant ?
2- How is the last column in the table 4 related to the spring constant ? What if we average the values of last column in Table 4? Explain your answers?
3- What is the meaning y-intercept ? Do you understand why it is always better use y=mx+b as opposed to y=mx in performing a curve fit ?
Transcribed Image Text:you
20.01
Part 2: Graphical Analysis of Data
For many spring-mass systems, the amount a spring stretches when it suspends a mass is proportional to the
amount of mass supported by the spring. This is called Hooke's law. We will test that here.
Un -0.004
Directions: Suspend a hanger on a spring and record the position of the bottom of the hanger. Add a known
mass to the hanger and record the position of the hanger and calculate the displacement of the spring.
WATCH SIG. FIGS.!
FORE
15.03
25.04
35.06
Mass
(grams)
5
Initial Position of Hanger: 37.2cm
Table 4- Mass vs. Displacement
45.07.
65.12
85.171
105.111
110.31
115.361
Position (cm)
37.8
391
40.4
41.6
42.8
95.6
48.4
511
डान्व
Displacement Mass/Position
(cm)
0.5
1.9
३.२
५.५
5.6
8.4
13.9
14.7
15.3
y-intercept=_
(grams/cm)
B
CS Scanned with CamScanner
7.9
SD:
un= 0.0004
7.8
8.0
8.0
2.8
7.60
2.56
7.50
7.60
Analysis
1. Plot mass of spring versus displacement of spring (y vs. x). Perform a fit using y=mx+b and correctly
report the slope and y-intercept. Copy and paste the graph below. Don't forget a figure caption.
Slope=
Displacement
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