An object weighing 314 N in air is immersed in water after being tied to a string connected to a balance. The scale now reads 254 N. Immersed in oil, the object appears to weigh 292 N. (a) Find the density of the object. kg/m3 (b) Find the density of the oil. | kg/m³ Need Help? Read It

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Chapter1: Units, Trigonometry. And Vectors
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**Buoyancy and Density: Understanding Measurements**

**Problem Statement:**

An object weighing 314 N in air is immersed in water after being tied to a string connected to a balance. The scale now reads 254 N. When immersed in oil, the object appears to weigh 292 N.

**Tasks:**

(a) Calculate the density of the object.

\( \underline{Input\ Box:} \) [        ] kg/m\(^3\)

(b) Calculate the density of the oil.

\( \underline{Input\ Box:} \) [        ] kg/m\(^3\)

**Assistance:**

If you need help with these calculations, click on the "Read It" button for detailed guidance.

**Note:**

The setup involves understanding how immersion in different fluids (water and oil) affects the apparent weight of the object, based on buoyant forces. You'll need to consider the principles of density and Archimedes' principle to solve these problems.
Transcribed Image Text:**Buoyancy and Density: Understanding Measurements** **Problem Statement:** An object weighing 314 N in air is immersed in water after being tied to a string connected to a balance. The scale now reads 254 N. When immersed in oil, the object appears to weigh 292 N. **Tasks:** (a) Calculate the density of the object. \( \underline{Input\ Box:} \) [ ] kg/m\(^3\) (b) Calculate the density of the oil. \( \underline{Input\ Box:} \) [ ] kg/m\(^3\) **Assistance:** If you need help with these calculations, click on the "Read It" button for detailed guidance. **Note:** The setup involves understanding how immersion in different fluids (water and oil) affects the apparent weight of the object, based on buoyant forces. You'll need to consider the principles of density and Archimedes' principle to solve these problems.
Expert Solution
Step 1

Given data

*The weight of the object in the air is Wo=314 N

*The weight of the object in water is Ww=254 N

*The weight of the object in oil is Woil=292 N

*The density of water is ρw=103 kg/m3

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