Lab 7 Hooke's Law

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School

Houston Community College *

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2125

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Law

Date

May 1, 2024

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docx

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3

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Objective: To determine the spring constant of a given spring and to determine an unknown mass using Hooke’s Law Equipment: spring, stand, mass set, unknown mass, ruler Theory: Procedure: I attached the spring to a rod and then measured the distance from the table to the bottom of the spring. I then selected different masses and set them on a hook and added the hook to the bottom of the spring. I then measured the distance from the table to the bottom of the now elongated spring. The data was recorded. Finally, I measure the elongation of the spring for an unknown mass. Graph: m H = Hanging Mass (m a +m hook ) m a = mass added to hook F=m H g=K x F s x by Newton’s 3 rd Law x-axis y-axis m h g=K x F=m H g 0.020 0.040 0.060 0.080 0.100 0.120 0.140 0.160 0.180 0.200 0.220 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 0.25 0.34 0.44 0.54 0.64 0.74 0.83 f(x) = 3.42 x + 0.15 Lab 7: Hooke's Law x (m) mHg (N)
Data: m a (g) m hook (g) m H (g) m H g (N) X (m) k=m H g/x (N/m) 0.020 0.005 0.025 0.245 0.030 8.166 0.030 0.005 0.035 0.343 0.056 6.125 0.040 0.005 0.045 0.441 0.086 5.127 0.050 0.005 0.055 0.539 0.116 4.646 0.060 0.005 0.065 0.637 0.144 4.42 0.070 0.005 0.075 0.735 0.172 4.273 0.080 0.005 0.085 0.833 0.201 4.144 Average k = 5.272 For unknown mass x m =0.164 (N/m) Results: y = 3.4164x + 0.1461 Slope = k k from graph = 3.416 (N/m) Average measured k= 5.272 (N/m) k from measurements = 5.272 ±1.34 (N/m) Percent difference: =|5.272−3.416|/[(5.272+3.416)/2]×100 =|1.856|/[8.688/2]×100 =1.856/4.344×100 =0.4272×100 =42.72 % difference Discussion:
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