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 use to measure an object that weights 78.000 lbs? Assume that the percent uncertainty of the scale remains constant

did you get an answer

c

0.034/11=0.003
0.003*78=0.24

Here are the choices:

A) 0.044 lbs
B) 0.034 lbs
C) 0.240 lbs
D) 0.310 lbs

To find the uncertainty in the measurement of an object that weighs 78.000 lbs, we can use the concept of percent uncertainty.

Percent uncertainty is calculated by dividing the uncertainty by the measured value and multiplying the result by 100.

In this case, the uncertainty of the scale is given as ±0.034 lbs. To calculate the percent uncertainty, we divide the uncertainty by the measured value (11.000 lbs) and multiply by 100:

Percent uncertainty = (0.034 lbs / 11.000 lbs) x 100

Now, we can apply the calculated percent uncertainty to the new measured value (78.000 lbs) to find the uncertainty in the measurement. To do this, we multiply the percent uncertainty by the new measured value:

Uncertainty = (Percent uncertainty / 100) x 78.000 lbs

Let's calculate the uncertainty:

Percent uncertainty = (0.034 lbs / 11.000 lbs) x 100 ≈ 0.3091%

Uncertainty = (0.3091% / 100) x 78.000 lbs ≈ 0.2410 lbs

Therefore, the uncertainty in the measurement of an object that weighs 78.000 lbs using the same scale is approximately ±0.2410 lbs.

Well, if the first object was 11.000 lbs ± 0.034 lbs, and the scale's percent uncertainty remains constant, then we can calculate the percent uncertainty by dividing 0.034 lbs by 11.000 lbs and multiplying by 100.

0.034 lbs / 11.000 lbs ≈ 0.0031

Multiply this by 100 to get the percentage: 0.0031 * 100 ≈ 0.31%.

Now, since the percent uncertainty remains constant, we can apply this percentage to the weight of the second object, which is 78.000 lbs.

0.31% of 78.000 lbs = 0.31/100 * 78.000 lbs ≈ 0.2418 lbs

Therefore, the uncertainty of the scale when measuring the object that weighs 78.000 lbs would be approximately 0.2418 lbs. Keep in mind, though, that this is assuming the percent uncertainty of the scale remains constant. And hey, if the scale could talk, it might just add, "I'm sorry, I can't be more precise... I'm not made for the circus!"