SOLVED:The Density Of Lead Is 11.3 \mathrm{g ... - Numerade

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The density of lead is 11.3 $\mathrm{g} / \mathrm{cm}^{3} .$ What is this value in kilograms per cubic meter? The density of lead is 11.3 $\mathrm{g} / \mathrm{cm}^{3} .$ What is this value in kilograms per cubic meter? University Physics with Modern Physics Hugh D. Young, Roger… 12th Edition Chapter 1, Problem 4 View All Chapters

Step 1

3 g/cm³. We need to convert this to kg/m³. We know that 1 kg = 1000 g. So, we can write 1 g as $10^{-3}$ kg. Show more…

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Key Concepts

Density Density is a fundamental property that quantifies the mass of a substance per unit volume. It is often used to compare different materials and is expressed in units such as grams per cubic centimeter (g/cm³) or kilograms per cubic meter (kg/m³). Unit Conversion Unit conversion involves transforming a quantity from one set of units to another without changing the actual value. This is essential in science and engineering to maintain consistency and accuracy in measurements, especially when working across different unit systems. Dimensional Analysis Dimensional analysis is a systematic approach used to convert units and check the consistency of equations by treating units algebraically. It ensures that the final answer has the desired units by cancelling out the intermediate units step by step. Metric System The metric system is an internationally standardized system of measurement based on powers of ten. It provides a coherent set of units for length, mass, and volume (e.g., meters, kilograms, liters), which facilitates straightforward and reliable unit conversions in scientific applications. Key Concept Premium Feature Explore the core concept behind this problem. View Video View Video Key Concept Premium Feature Explore the core concept behind this problem. Your browser does not support the video tag. Close Try it Now

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Transcript

00:01 In this exercise, we're given the density of the lead in grams per cubic centimeter. 00:06 So we have that row, the density, is equal to 11 .3 grams per cubic centimeter. 00:13 And our goal is to find what is the density in kilograms per cubic meter. 00:21 So we need to know some things in order to calculate this. 00:25 First of all, notice that one kilogram is equal to 1 ,000 grams. 00:30 So if we divide both sides by 1 ,000, we obtain that 10 to the minus 3 kilograms is equal to 1 gram. 00:44 So let's keep this in mind. 00:47 Then we also need to know how many cubic centimeters there are in one cubic meter. 00:55 Notice that one cubic meter is equal to 1 times. 01:02 Notice that in each meter we have 100 centimeters. 01:10 So one meter is 100 centimeters and one meter cubed is 100 centimeters cubed... Need help? Use Ace Ace is your personal tutor. It breaks down any question with clear steps so you can learn. Start Using Ace Ace is your personal tutor for learning Step-by-step explanations Instant summaries Summarize YouTube videos Understand textbook images or PDFs Study tools like quizzes and flashcards Listen to your notes as a podcast

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