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Starter. What is the spring constant for this spring? What is the meaning of the y-intercept?. Starter Hooke’s Law. If a 1kg mass stretches a spring 2.5cm, what mass would stretch it 10cm?. Hooke’s Law for Springs. The force required to stretch a spring is directly
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Starter What is the spring constant for this spring? What is the meaning of the y-intercept?
Starter Hooke’s Law If a 1kg mass stretches a spring 2.5cm, what mass would stretch it 10cm?
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
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
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
Elastic Forces - Hooke’s Law F = kx k = 10.9 N/m
Application - Springs • 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
Question Did the rubber band obey Hooke’s Law? Explain.
Lab Report Checklist Starter Data Tables (4) F vs. x Graphs (4) with slopes Experimental k values (4) Question Connection Summary
Connection What real life applications of Hooke’s Law have you observed? C
EXIT Summarize your experiment including the objective, the procedure, the results, and reasons for error. E