https://phet.colorado.edu/sims/html/masses-and-springs/latest/masses-and-springs_en.htmlPHY2048L/PHY2053L – Interactive LabObjective Determine the stifness constant of a spring from the slope of a graph; Calculate the stifness of a spring, k, by measuring the period of oscillation,T, and mass, m.TheorySince the period of oscillation of a simple harmonic oscillator is related to the mass and the stiffness of a spring like:T=2⋅π⋅mk →T2=4⋅π2⋅(mk) →k⋅T2=4⋅π2⋅mBy comparing the above equation with thwe equation of a straight line:slope⋅x=yand plainly identifying the terms →in order to obtain the stiffness of a spring directly from the slope of a graphk=slopeone needs to plot T2 along the x axis and4⋅π2⋅m along the y axis.Instructions:Click on this Link: Investigating Hooke’s Law : or if you have java installed on your computer save/download and run this applet; See here: how to run java applets, files with jar or jnlp extensions Select the friction=none case; Select a medium stifness of the spring, softness of spring 3; Check the stopwatch box; Hang 3 different masses, 50g, 100g, 250g ; Set the spring in oscillatory motion by disturbing it from its equilibrium position; Elongate the spring by approximately 10cm and let it go; Measure the period of 10 complete oscillations, T10, divide T10 by 10 to determine the period for 1 oscillation, T1 :T1010=T1 Do this for every hanging mass! → T2, T3…. To stop the oscillatory motion of the spring click on the hanging mass or slide the friction bars to its maximum → “lots” Record the period, T1, and the mass, m1 in kg and the corresponding periods and masses, T2, m2, T3, m3…; Plot a graph using excel and have it calculate the slope of the line passing through your experimental data points, pairs of values, (x,y), (T2,4π2m) OR Plot a graph using this script; the slope will be automatically calculated;If you use the script make sure you: Title the graph; Enter the pair of values, see theory below; Label the axis and metion the units; Download fireshot a firefox addon, save the graph as a jpg file, and upload it; Answer the 2 questions at the bottom of the graph.
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