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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

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

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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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