An object is released from rest and falls in free fall motion. The speed v of the object after it has fallen a distance y is givenby v2gy. In an experiment, v and y are measured and the measured values are used to calculate g. If the percentuncertainty in the measured value of v is 4.80% and the percent uncertainty in the measured value of y is 5.00%, what is thepercent uncertainty in the calculated value of g? (Do not enter units for this answer.)X%

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Asked Sep 18, 2019
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An object is released from rest and falls in free fall motion. The speed v of the object after it has fallen a distance y is given
by v
2gy. In an experiment, v and y are measured and the measured values are used to calculate g. If the percent
uncertainty in the measured value of v is 4.80% and the percent uncertainty in the measured value of y is 5.00%, what is the
percent uncertainty in the calculated value of g? (Do not enter units for this answer.)
X%
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An object is released from rest and falls in free fall motion. The speed v of the object after it has fallen a distance y is given by v 2gy. In an experiment, v and y are measured and the measured values are used to calculate g. If the percent uncertainty in the measured value of v is 4.80% and the percent uncertainty in the measured value of y is 5.00%, what is the percent uncertainty in the calculated value of g? (Do not enter units for this answer.) X%

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Expert Answer

Step 1

The expression for the speed of the object  in terms of distance and the acceleration due to gravity  is given as,

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v2= 2gy కి 2y

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Step 2

Use propagation uncertainty equatio...

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Ag 2Δν Ay + g y 2(4.80) 5.00 100 100 0.1082

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