4. What is the mass of a solid copper ball that has a radius of 7.0 cm?

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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**Problem 4: Solid Copper Ball**

**Question:**  
What is the mass of a solid copper ball that has a radius of 7.0 cm?

**Solution Approach:**

1. **Determine the Volume of the Sphere:**
   - Use the formula for the volume of a sphere: \( V = \frac{4}{3} \pi r^3 \), where \( r \) is the radius.

2. **Calculate the Mass:**
   - Use the density of copper, which is approximately \( 8.96 \text{ g/cm}^3 \).
   - Mass can be calculated using the formula: \( \text{Mass} = \text{Density} \times \text{Volume} \).

Steps and calculations would then yield the mass of the copper ball.

(An educational website could further explain each calculation step-by-step if needed.)
Transcribed Image Text:**Problem 4: Solid Copper Ball** **Question:** What is the mass of a solid copper ball that has a radius of 7.0 cm? **Solution Approach:** 1. **Determine the Volume of the Sphere:** - Use the formula for the volume of a sphere: \( V = \frac{4}{3} \pi r^3 \), where \( r \) is the radius. 2. **Calculate the Mass:** - Use the density of copper, which is approximately \( 8.96 \text{ g/cm}^3 \). - Mass can be calculated using the formula: \( \text{Mass} = \text{Density} \times \text{Volume} \). Steps and calculations would then yield the mass of the copper ball. (An educational website could further explain each calculation step-by-step if needed.)
**Problem 6:**

If the solid copper sphere in problem 4 is completely submerged under water, then what is the buoyancy force that the water exerts on the sphere? How much would the sphere appear to weigh while under water?

---

This problem requires understanding the concept of buoyancy force, which is the upward force exerted by a fluid on a submerged object, making the object appear lighter while underwater. To calculate this force, you would use Archimedes' principle, which states that the buoyant force is equal to the weight of the displaced fluid.
Transcribed Image Text:**Problem 6:** If the solid copper sphere in problem 4 is completely submerged under water, then what is the buoyancy force that the water exerts on the sphere? How much would the sphere appear to weigh while under water? --- This problem requires understanding the concept of buoyancy force, which is the upward force exerted by a fluid on a submerged object, making the object appear lighter while underwater. To calculate this force, you would use Archimedes' principle, which states that the buoyant force is equal to the weight of the displaced fluid.
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