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Chapter 1: Problem 40

The masses of four sugar cubes are measured to be \(25.3 \mathrm{~g}, 24.7 \mathrm{~g}, 26.0 \mathrm{~g},\) and \(25.8 \mathrm{~g} .\) Express the answers to the following questions in scientific notation, with standard SI units and an appropriate number of significant figures. a) If the four sugar cubes were crushed and all the sugar collected, what would be the total mass, in kilograms, of the sugar? b) What is the average mass, in kilograms, of these four sugar cubes?

Short Answer

Expert verified
Step 1: Convert the masses of the sugar cubes to kilograms. Step 2: Calculate the total mass by adding up the masses of all sugar cubes. Step 3: Express the total mass in scientific notation with appropriate significant figures. Step 4: Calculate the average mass by dividing the total mass by the number of sugar cubes. Step 5: Express the average mass in scientific notation with appropriate significant figures.

Step by step solution

01

Convert masses to kilograms

First, we need to convert the masses of the sugar cubes from grams to kilograms. To do this, we will divide the masses by 1000 since 1 kilogram is equal to 1000 grams.
02

Calculate the total mass

Add up the masses of all the sugar cubes to find the total mass in kilograms.
03

Express the total mass in scientific notation

Rewrite the total mass in scientific notation and with an appropriate number of significant figures.
04

Calculate the average mass

Divide the total mass by the number of sugar cubes (4 in this case) to find the average mass in kilograms.
05

Express the average mass in scientific notation

Rewrite the average mass in scientific notation and with an appropriate number of significant figures.

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Most popular questions from this chapter

Sketch the vectors with the components \(\vec{A}=\left(A_{x}, A_{y}\right)=\) \((30.0 \mathrm{~m},-50.0 \mathrm{~m})\) and \(\vec{B}=\left(B_{x}, B_{y}\right)=(-30.0 \mathrm{~m}, 50.0 \mathrm{~m}),\) and find the magnitudes of these vectors.

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