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Published byHarold Mosley Modified over 9 years ago
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Starter What is the spring constant for this spring?
What is the meaning of the y-intercept?
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Starter Hooke’s Law If a 1kg mass stretches a spring 2.5cm, what mass would stretch it 10cm?
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Hooke’s Law for Springs
The force required to stretch a spring is directly proportional to how much it is stretched, or : F = kx F = stretching force in Newtons x= stretch in meters k = the spring constant in N/m
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Example When a .5kg mass is hung on a spring, it stretches .25m.
1. What is the spring constant? k = F/x = mg/x = .5(9.8)/.25 = 19.6 N/m 2. How much would a 2kg mass stretch the spring? x = F/k = 2(9.8)/19.6 = 1.00m
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Hooke’s Law F =kx If you plot the stretching force on the y axis,
and the amount of stretch on the x axis, what will the plot look like? What does the slope represent? Slope = k
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Practice - Hooke’s Law P m (kg) x(m) F (N) 0.00 0.00 .050 .045 .441
0.00 .050 .045 .441 0.100 0.090 .980 P
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Elastic Forces - Hooke’s Law
F = kx k = 10.9 N/m
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Application - Springs A
Design an experiment to determine the spring constant for: 2 of the color coded springs 1 of the silver springs. A rubber band Make a F vs. x graph for each with 5 data points. Show a best fit line and determine the equation and k. A
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Sample Data table Spring Color ______________ Trial m (kg) x(m) F (N)
Plot on x-axis Plot on y-axis Trial m (kg) x(m) F (N) 1 2 3 4 5
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Question Did the rubber band obey Hooke’s Law? Explain.
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Lab Report Checklist Starter Data Tables (4)
F vs. x Graphs (4) with slopes Experimental k values (4) Question Connection Summary
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Connection C What real life applications of Hooke’s Law
have you observed? C
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EXIT E Summarize your experiment including the objective,
the procedure, the results, and reasons for error. E
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