 A 10-kg piece of metal displaces 0.002 m3 of water when submerged. What is the density of the metal?  Hint: Use the formula mass= density x volume.

To find the density of the metal, you can use the formula:

\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\]

Given:
- Mass of the metal \( m = 10 \, \text{kg} \)
- Volume of water displaced \( V = 0.002 \, \text{m}^3 \) (which is equal to the volume of the metal)

Substituting the values into the formula:

\[
\text{Density} = \frac{10 \, \text{kg}}{0.002 \, \text{m}^3} = 5000 \, \text{kg/m}^3
\]

So, the density of the metal is **5000 kg/m³**.

Would you like more details or have any questions?

Here are some related questions you might find useful:
1. How does the density of an object affect its buoyancy?
2. What is the significance of the volume of water displaced in this problem?
3. How would you determine the density if the metal had an irregular shape?
4. What is the relationship between density and specific gravity?
5. How can the density of a substance be used to identify it?

**Tip:** Remember that the volume of water displaced by an object when submerged is equal to the volume of the object itself.

Learn how to calculate the density of a metal piece submerged in water. Use the formula Density = Mass / Volume with given values of 10 kg mass and 0.002 m³ volume. Understand the relationship between mass, volume, and density in this physics problem.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation