College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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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?

---

**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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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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