A scale measures the weight of a light object to be 11.000 lbs ± 0.034 lbs . What is the uncertainty if this same scale is used to measure an object that weighs 78.000 lbs? Assume that the percent uncertainty of the scale remains constant.(1 point)
To find the uncertainty, we need to calculate the percent uncertainty of the scale and then apply it to the weight of the object being measured.
The percent uncertainty of the scale is given by the formula:
percent uncertainty = (uncertainty / measurement) * 100%
For the first measurement of 11.000 lbs ± 0.034 lbs, the percent uncertainty is:
percent uncertainty = (0.034 lbs / 11.000 lbs) * 100% = 0.3091%
Now, we can apply this percent uncertainty to the weight of 78.000 lbs:
uncertainty = (percent uncertainty / 100%) * measurement
uncertainty = (0.3091% / 100%) * 78.000 lbs = 0.2404 lbs
Therefore, the uncertainty when measuring an object that weighs 78.000 lbs on the same scale is approximately 0.2404 lbs.