The propagation of uncertainty formula for the equation y - ax^2 is y (Ay)² +(Ay,)² where Aya = (ax²) – ((a + Sa)x²).and .Ayx = (ax) - (a(x + 5x)²) and. The values 5a and Sx are the uncertainties on a and x %3D %D respectively. If a - 12 +/- 0.7 and x- -16+/-0.2 then what is the uncertainty on y?
The propagation of uncertainty formula for the equation y - ax^2 is y (Ay)² +(Ay,)² where Aya = (ax²) – ((a + Sa)x²).and .Ayx = (ax) - (a(x + 5x)²) and. The values 5a and Sx are the uncertainties on a and x %3D %D respectively. If a - 12 +/- 0.7 and x- -16+/-0.2 then what is the uncertainty on y?
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
Transcribed Image Text:QUESTION 6
The propagation of uncertainty formula for the equation y - ax^2 is V
where Ay. = (ax²) – ((a + Sa)x²).and .Ayx = (ax<) - (a(x+ 5x)²) and. The values 5a and 5x are the uncertainties on a and x
respectively.
If a - 12 +/- 0.7 and x = -1.6+/-0.2 then what is the uncertainty on y?
QUESTION 7
Find the uncertainty in kinetic energy. Kinetic energy depends on mass and velocity according to this function E(m,v) = 1/2 m v2. Your
measured mass and velocity have the following uncertainties Sm = 0.18 kg and Sv = 0.19 m/s. What is is the uncertainty in energy,
SE , if the measured mass, m = 5.28 kg and the measured velocity, v = -19.57 m/s? Units are not needed in your answer.
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