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.! 37.2cm 15.03 25.04 35.06 45.07 65.12 85.171 105.11 110.31 115.36 Initial Position of Hanger: Mass (grams) 5.0 Table 4-Mass vs. Displacement Position (cm) 37.8 391 40.4 48.4 511 51.9 Displacement Mass/Position (cm) (grams/cm) 0.5 1.9 ३.२ ५.५ 5.6 8.4 13.9 14.7 15.3 7.9 7.8 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=

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Chapter1: Units, Trigonometry. And Vectors
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Plz give a short answer to these three questions 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. 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 ? Plz just give me a small answer to each one
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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
31.9
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
7.9
CS Scanned with CamScanner
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
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 31.9 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 7.9 CS Scanned with CamScanner 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
Expert Solution
Step 1

Hook;s law: In accordance with Hooke's law, a principle of elasticity, for relatively minor deformations of an object, the displacement or size of the deformation is directly proportional to the deforming force or load

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