Question

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 v2 = 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 4.78% 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.) 7.28 Incorrect: Your answer is incorrect. %

Answer 1

The speed of the object is, 2 2gy The acceleration due to gravity is, The uncertainty for vxv is, (4.78 + 4.78)-9.56% The percent uncertainty in the calculated value of g is, Ag 2Av x100 2(9.56))+(s) 10.79%