Question

Antonio is holding a 1 pound bag of apples in his left hand and a 2 pound bag of apples in his right hand. Which sentences about this situation are true

Answer 1

The question deals with the concepts of weight measurements and calculating percent uncertainty. Percent uncertainty is a dimensionless percentage representing the ratio of uncertainty to measured weight. For the apple bags example, a change in average weight with constant uncertainty would affect the percent uncertainty.

Step-by-step explanation:

Antonio is holding bags of apples with different weights in each hand. To analyze this scenario, we need to consider a few concepts related to measurements and uncertainties.

When we talk about percent uncertainty, it represents the ratio of the uncertainty of a measurement to the measurement itself, usually expressed as a percentage. The percent uncertainty is dimensionless as it's a ratio of two quantities with the same unit, cancelling each other out.

For example, if a bag is supposed to weigh 5 pounds and the actual weight is 5.1 pounds with an uncertainty of ±0.3 pounds, the percent uncertainty can be calculated by taking the uncertainty (0.3 lb), dividing it by the average weight (5.1 lb), and then multiplying by 100 percent.

In the case of a bag being half as heavy, say 2.5 pounds, with the same uncertainty of 0.3 pounds, the percent uncertainty would increase because the uncertainty now represents a larger fraction of the average weight. Remembering to convert the fraction to a percent value is crucial for properly communicating the uncertainty.

Significance

In the context of the question, if the average weight of a bag of apples is 5.1 lb with an uncertainty of ± 6%, and we know that one pound is approximately 6% of the total, the statement about the average weight being 5.1 lb ± 6% could be considered significant for the purpose of quality control or customer information.

Discussion

When buying fruit by weight at the market, such as 1.5 kilograms of oranges, 150 grams of grapes, and 15,000 centigrams of apples, it's essential to convert all measurements to the same unit before combining them. Here, 1.5 kilograms is equivalent to 1500 grams, and 15,000 centigrams is equivalent to 150 grams, giving a total weight of 1800 grams of fruit.

Answer 2

-- Antonio is holding a total of 2 bags.

-- Antonio is holding a total of 3 pounds of apples.

-- The net bending moment on his trunk muscles due to apples is to the left.

-- If Antonio happens to be standing on a scale, then the scale is displaying a weight 3 pounds greater than his normal weight.

-- Antonio and the items in his hands are attracting the Earth with a gravitational force that's 3 pounds stronger than normal.