Error Analysis: Kinetic & Static Frictions of the Block Block With 300g Added Tr

Question

Error Analysis: Kinetic & Static Frictions of the Block

Block With 300g Added

Trial

Sand Added (g) -Kinetic Friction

Sand Added (g) -Static Friction

1

104.5

143.0

2

110.0

140.5

3

114.0

137.5

4

106.5

134.5

5

104.0

134.0

Average (g)

107.8

137.9

Percent Uncertainty

105.8%

103.7%

I am unsure on how to find the absolute percent uncertainty though. We were given the formula: delt u= u * (delt m_max / m_avg). Please help. Thanks!!

Error Analysis: Kinetic & Static Frictions of the Block

Block With 300g Added

Trial

Sand Added (g) -Kinetic Friction

Sand Added (g) -Static Friction

1

104.5

143.0

2

110.0

140.5

3

114.0

137.5

4

106.5

134.5

5

104.0

134.0

Average (g)

107.8

137.9

Percent Uncertainty

105.8%

103.7%

Explanation / Answer

Hey, uncertainty is greatest deviation divided by avg, which makes it (114-107.8)/107.8 which is 5.75 %

For static friction, uncertainty = (143-137.9)/137.9 = 3.7%

(delta u)kinetic = ustatic x (delta m / m) = 0.23 x 5.75/100 = 0.013

(delta u)static = ustatic x (delta m / m) = 0.29 x 3.7/100 = 0.011

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