Procedure 1. Set up the apparatus. The mass hanger (in addition to providing a platform for subsequent masses) is used to pull out any irregularities in the spring before you start. This point should be considered the equilibrium position of the spring - no applied force and no stretch. 2. Add the slotted masses to the hanger one at a time. After each addition, calculate the force on the spring and measure the distance the spring has stretched from equilibrium. Do not add any more mass than what you have been provided. Place the data in Table 1. Table 1. Spring Data Suspended Mass Suspended Mass (grams) Applied Force Distance Distance |(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.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter6: Energy Of A System
Section: Chapter Questions
Problem 69P
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Procedure
1. Set up the apparatus. The mass hanger (in addition to providing a platform for subsequent masses) is
used to pull out any irregularities in the spring before you start. This point should be considered the
equilibrium position of the spring - no applied force and no stretch.
2. Add the slotted masses to the hanger one at a time. After each addition, calculate the force on the
spring and measure the distance the spring has stretched from equilibrium. Do not add any more mass
than what you have been provided. Place the data in Table 1.
Table 1. Spring Data
Suspended Mass
(grams)
Suspended Mass
Applied Force
Distance
Distance
(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/s', 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:Procedure 1. Set up the apparatus. The mass hanger (in addition to providing a platform for subsequent masses) is used to pull out any irregularities in the spring before you start. This point should be considered the equilibrium position of the spring - no applied force and no stretch. 2. Add the slotted masses to the hanger one at a time. After each addition, calculate the force on the spring and measure the distance the spring has stretched from equilibrium. Do not add any more mass than what you have been provided. Place the data in Table 1. Table 1. Spring Data Suspended Mass (grams) Suspended Mass Applied Force Distance Distance (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/s', 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.
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