Chapter U4.75, Problem 4E

Interpretation Introduction

Interpretation:

Whether 50 grams of rice or 50 grams of beans has more pieces needs to be explained.

Concept Introduction:

Mass is a fundamental property of an object which is representative of the amount of matter present in that object

For small objects where the mass cannot be measured on an individual level, an average mass can be deduced by weighing the collection of similar objects and dividing by the total count.

Answer to Problem 4E

50 g rice will have more pieces.

Explanation of Solution

It is given that the collection contains 50 g of rice and 50 g of beans. Since both samples weigh 50 g, they will have the same mass.

However a single grain of rice has a much lower mass than a single unit of bean. Therefore, for the same sample mass there will be more grains of rice than beans.

Conclusion

Thus, the sample with 50 g of rice will have more pieces.