Table 1. Spring Data Suspended Mass (grams) Applied Force |(newtons), F = mg Stretched (cm) Distance Stretched (m) Suspended Mass Distance (kilograms) 0.050 50 0.050x9.8 = 0.49 1.9 0.019 %3D 100 ? ? 4.0 ? | 150 ? ? 6.1 ? 200 ? ? 7.8 ? 250 ? 10.2 Analysis, 1. Use the data recorded in Table 1 to plot a graph of the Applied Force (vertical axis) vs. Distance Stretched (horizontal axis.) Plot the straight line of best fit. Use graph paper and a ruler. You also can use Excel. Note: F = mg, g = 9.8 m/s², mass must be expressed in kilograms, Distance Stretched must be expressed in meters, 1 m = 100 cm; 1 kilogram = 1000 grams 2. Determine the slope of the line in your graph by selecting two points on the line (don't select points from Table 1). This is the value of the spring constant k. Spring Constant = Include units. 8888

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How do I find the spring constant?

 

Teach in a Homestay
29 UNCG - Calendar - W X
Journel - Google Drive X
Interview Your Cooper X
B Lab6P110A-Hooke'sla x
29
UNCG - Calendar - W X
9.8 g to mg - Google X
A brightspace.cpcc.edu/d2l/le/content/58454/viewContent/1757230/View
Table of Contents > Coursework > Lab6P110A-Hooke'slaw2
Lab6P110A-Hooke'slaw2
>
FEPEE
Table 1. Spring Data
Suspended Mass
Suspended Mass
Applied Force
Distance
Distance
(grams)
(kilograms)
(newtons), F = mg | Stretched (cm)
Stretched (m)
50
0.050
0.050x9.8 = 0.49
1.9
0.019
100
?
4.0
150
?
?
6.1
?
200
?
?
7.8
?
250
10.2
Analysis.
1. Use the data recorded in Table 1 to plot a graph of the Applied Force (vertical axis) vs.
Distance Stretched (horizontal axis.) Plot the straight line of best fit. Use graph paper
and a ruler. You also can use Excel.
Note: F = mg, g = 9.8 m/s², mass must be expressed in kilograms, Distance Stretched
must be expressed in meters, 1 m = 100 cm; 1 kilogram = 1000 grams
2. Determine the slope of the line in your graph by selecting two points on the line (don't
select points from Table 1). This is the value of the spring constant k.
Spring Constant =
?
Include units.
Transcribed Image Text:Teach in a Homestay 29 UNCG - Calendar - W X Journel - Google Drive X Interview Your Cooper X B Lab6P110A-Hooke'sla x 29 UNCG - Calendar - W X 9.8 g to mg - Google X A brightspace.cpcc.edu/d2l/le/content/58454/viewContent/1757230/View Table of Contents > Coursework > Lab6P110A-Hooke'slaw2 Lab6P110A-Hooke'slaw2 > FEPEE Table 1. Spring Data Suspended Mass Suspended Mass Applied Force Distance Distance (grams) (kilograms) (newtons), F = mg | Stretched (cm) Stretched (m) 50 0.050 0.050x9.8 = 0.49 1.9 0.019 100 ? 4.0 150 ? ? 6.1 ? 200 ? ? 7.8 ? 250 10.2 Analysis. 1. Use the data recorded in Table 1 to plot a graph of the Applied Force (vertical axis) vs. Distance Stretched (horizontal axis.) Plot the straight line of best fit. Use graph paper and a ruler. You also can use Excel. Note: F = mg, g = 9.8 m/s², mass must be expressed in kilograms, Distance Stretched must be expressed in meters, 1 m = 100 cm; 1 kilogram = 1000 grams 2. Determine the slope of the line in your graph by selecting two points on the line (don't select points from Table 1). This is the value of the spring constant k. Spring Constant = ? Include units.
Expert Solution
Step 1

Spring constant can easily be found using the formula

F = - k x

where, F = force applied = 0.49 (according to question)

and x = distance stretched = 1.9 cm = 0.019 m (a/q)

and k = springs constant = ?

using above equation : - 

k = - F/x = - 0.49/0.019 = -2579 (answer)

Similarly K for rest of the data can be calculated

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