College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![**Question 10:** What is the density of an object that has a mass of 5.6 kg and a volume of 1.78 ml?
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**Explanation:**
To find the density of an object, use the formula:
\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]
Given:
- Mass = 5.6 kg
- Volume = 1.78 ml
Note: It's important to convert the units so they are consistent, typically using kg/m³ or g/cm³.
To convert the mass from kilograms to grams:
\[ 5.6 \, \text{kg} = 5600 \, \text{g} \]
To convert the volume from milliliters to cubic centimeters (since 1 ml = 1 cm³), the volume remains:
\[ 1.78 \, \text{ml} = 1.78 \, \text{cm}^3 \]
Thus, the density calculation becomes:
\[ \text{Density} = \frac{5600 \, \text{g}}{1.78 \, \text{cm}^3} \approx 3146.07 \, \text{g/cm}^3 \]
The density of the object is approximately \( 3146.07 \, \text{g/cm}^3 \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F87573c1f-e99e-41d1-a108-161ab6bfa656%2F557638e3-541b-4366-bd6f-57d30f8c8b91%2Fduzho6g_processed.png&w=3840&q=75)
Transcribed Image Text:**Question 10:** What is the density of an object that has a mass of 5.6 kg and a volume of 1.78 ml?
---
**Explanation:**
To find the density of an object, use the formula:
\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]
Given:
- Mass = 5.6 kg
- Volume = 1.78 ml
Note: It's important to convert the units so they are consistent, typically using kg/m³ or g/cm³.
To convert the mass from kilograms to grams:
\[ 5.6 \, \text{kg} = 5600 \, \text{g} \]
To convert the volume from milliliters to cubic centimeters (since 1 ml = 1 cm³), the volume remains:
\[ 1.78 \, \text{ml} = 1.78 \, \text{cm}^3 \]
Thus, the density calculation becomes:
\[ \text{Density} = \frac{5600 \, \text{g}}{1.78 \, \text{cm}^3} \approx 3146.07 \, \text{g/cm}^3 \]
The density of the object is approximately \( 3146.07 \, \text{g/cm}^3 \).
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