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Chapter 4: Problem 2

A sack of flour has a weight of \(19.8 \mathrm{N} .\) What is its weight in pounds?

Short Answer

Expert verified
Answer: The weight of the sack of flour is approximately 4.45 pounds.

Step by step solution

01

Identify the given information and the conversion factor

We are given the weight of the sack of flour as \(19.8\,\mathrm{N}\). To convert this to pounds, we need the conversion factor. It is generally accepted that \(1\,\mathrm{lb} \approx 4.448\,\mathrm{N}\). So, we will use this conversion factor to perform the conversion.
02

Convert the weight from Newtons to pounds

To convert the weight of the sack of flour from Newtons to pounds, we will use the conversion factor \(1\,\mathrm{lb} \approx 4.448\,\mathrm{N}\). We have: Weight in pounds = \(\frac{\text{Weight in Newtons}}{\text{Conversion factor}}\) Weight in pounds = \(\frac{19.8\,\mathrm{N}}{4.448\,(\frac{\mathrm{N}}{\mathrm{lb}})}\)
03

Calculate the weight in pounds

Now, we will compute the weight of the sack of flour in pounds: Weight in pounds = \(\frac{19.8}{4.448}\) Weight in pounds = \(4.45\,\mathrm{lb}\) (rounded to two decimal places) So, the weight of the sack of flour is approximately \(4.45\,\mathrm{lb}\).

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Most popular questions from this chapter

A toy freight train consists of an engine and three identical cars. The train is moving to the right at constant speed along a straight, level track. Three spring scales are used to connect the cars as follows: spring scale \(A\) is located between the engine and the first car; scale \(\mathrm{B}\) is between the first and second cars; scale \(C\) is between the second and third cars. (a) If air resistance and friction are negligible, what are the relative readings on the three spring scales \(\mathrm{A}, \mathrm{B},\) and \(\mathrm{C} ?\) (b) Repeat part (a), taking air resistance and friction into consideration this time. [Hint: Draw an FBD for the car in the middle. \(]\) (c) If air resistance and friction together cause a force of magnitude \(5.5 \mathrm{N}\) on each car, directed toward the left, find the readings of scales $\mathrm{A}, \mathrm{B},\( and \)\mathrm{C}$
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