Elastic potential energy, Hooke\'s Law Setup Procedure Start with the linear mot

Question

Elastic potential energy, Hooke's Law

Setup

Procedure

Start with the linear motion accessory positioned just so the spring is not being stretched.

Zero the force sensor by pressing the tare button on the force sensor.

Click 'Start'. Slowly turn the pulley on the rotary motion sensor to lower the linear motion accessory and stretch the spring. The plot of the force vs. linear motion appears in the graph. Click 'Stop' when the linear motion accessory reaches its lowest position.

Click the 'Scale to Fit' button to rescale the graph to show all the data. Find the slope of the plot of data. Click 'Fit' and then select 'Linear Fit'. Record the value of the slope, m, in Table 3. This is the spring constant of the spring you used.

Click 'Statistics' and select 'Area' from the menu (or click the down arrow next to the Sigma symbol and select 'Area'). Record the area in Table 3 as the amount of work done in stretching the spring.

Find the maximum distance that the spring was stretched and record this as 'x' in Table 3.

Table 3

Calculations
Use the value of the spring constant, k (the slope) and the distance stretched, x, to calculate the amount of elastic potential energy stored in the stretched spring. Record the amount of elastic potential energy in Table 4. Calculate the percent difference between the elastic potential energy and the area under the curve (work done). Record the percent difference in Table 4.

Table 4

Potential Energy

Explanation / Answer

EPE= 1/2kx^2 = 1/2*66*0.10^2 = 0.33 J

Percentage difference = [(W – EPE)/W]*100 = [(0.45-0.33)/0.45]*100 = 26.7 %

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