The gravitational force exerted on a solid object is 5.50 N as measured when the object is suspended from a spring scale as in Figure a. When the suspended object is submerged in water, the scale reads 3.34 N (Figure b). Find the density of the object. kg/m³ Scale Mg

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Chapter1: Units, Trigonometry. And Vectors
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**Problem Statement:**

The gravitational force exerted on a solid object is 5.50 N, as measured when the object is suspended from a spring scale as shown in Figure (a). When the suspended object is submerged in water, the scale reads 3.34 N (Figure b). Find the density of the object.

**Figures Explanation:**

- **Figure (a):** The diagram shows a solid object hanging from a spring scale with a reading of 5.50 N. This setup measures the gravitational force on the object in air.

- **Figure (b):** The diagram shows the same object now submerged in water while still attached to the spring scale, which now reads 3.34 N. This setup illustrates the change in apparent weight due to the buoyant force exerted by the water.

**Forces Illustrated:**

- In Figure (b), the forces acting on the object are detailed:
  - \( \vec{T}_2 \): The tension in the scale when the object is submerged.
  - \( \vec{B} \): The buoyant force acting upwards on the object when submerged in water.
  - \( \vec{M}g \): The gravitational force acting downwards on the object.

**Goal:**

To determine the density of the object using the given forces and the known properties of the fluid (water) in which it is submerged.
Transcribed Image Text:**Problem Statement:** The gravitational force exerted on a solid object is 5.50 N, as measured when the object is suspended from a spring scale as shown in Figure (a). When the suspended object is submerged in water, the scale reads 3.34 N (Figure b). Find the density of the object. **Figures Explanation:** - **Figure (a):** The diagram shows a solid object hanging from a spring scale with a reading of 5.50 N. This setup measures the gravitational force on the object in air. - **Figure (b):** The diagram shows the same object now submerged in water while still attached to the spring scale, which now reads 3.34 N. This setup illustrates the change in apparent weight due to the buoyant force exerted by the water. **Forces Illustrated:** - In Figure (b), the forces acting on the object are detailed: - \( \vec{T}_2 \): The tension in the scale when the object is submerged. - \( \vec{B} \): The buoyant force acting upwards on the object when submerged in water. - \( \vec{M}g \): The gravitational force acting downwards on the object. **Goal:** To determine the density of the object using the given forces and the known properties of the fluid (water) in which it is submerged.
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