After graphing the results, two lines of extreme fit were drawn with slopes m1 and m2. The average slope was calculated from these two values and labeled mav. Find the error in mav using the following data given in standard SI units.m1= 4.64E-15m2= 3.37E-15
Question
After graphing the results, two lines of extreme fit were drawn with slopes m1 and m2. The average slope was calculated from these two values and labeled mav. Find the error in mav using the following data given in standard SI units.m1= 4.64E-15m2= 3.37E-15
Solution
To calculate the error in the average slope (mav), we first need to find the average slope. The average slope is calculated by adding the two slopes and dividing by 2.
mav = (m1 + m2) / 2 mav = (4.64E-15 + 3.37E-15) / 2 mav = 8.01E-15 / 2 mav = 4.005E-15
Next, we calculate the error in the average slope. The error is the absolute difference between each slope and the average slope, divided by the average slope, and then multiplied by 100 to get a percentage.
Error1 = |(m1 - mav) / mav| * 100 Error1 = |(4.64E-15 - 4.005E-15) / 4.005E-15| * 100 Error1 = 15.85%
Error2 = |(m2 - mav) / mav| * 100 Error2 = |(3.37E-15 - 4.005E-15) / 4.005E-15| * 100 Error2 = 15.85%
The error in the average slope is the average of these two errors.
Error_mav = (Error1 + Error2) / 2 Error_mav = (15.85% + 15.85%) / 2 Error_mav = 15.85%
So, the error in the average slope (mav) is 15.85%.
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