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A block of metal is immersed completely in. water. If the density is 5400 g/cm³ , volume is 50 cc , then calculate the buoyancy acting on block and it's apparent weight in water ?
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A block of metal is immersed completely in. water. If the density is 5...
Buoyancy Acting on the Block
To calculate the buoyancy acting on the block, we use Archimedes' principle, which states that the buoyant force on an object submerged in a fluid is equal to the weight of the fluid displaced by the object.
- **Volume of the Block**: 50 cc
- **Density of Water**: 1 g/cm³
- **Weight of Water Displaced**:
- Volume of water displaced = Volume of the block = 50 cc
- Weight of water displaced = Volume × Density = 50 cc × 1 g/cm³ = 50 g
- **Buoyant Force**:
- The buoyant force acting on the block is equal to the weight of the water displaced, which is 50 g or 0.05 kg (in SI units).
Apparent Weight in Water
The apparent weight of an object in a fluid is the actual weight minus the buoyant force.
- **Weight of the Block**:
- Weight = Volume × Density = 50 cc × 5400 g/cm³ = 270,000 g or 270 kg.
- **Apparent Weight Calculation**:
- Apparent Weight = Actual Weight - Buoyant Force
- Apparent Weight = 270 g - 50 g = 220 g
Summary
- **Buoyant Force**: 50 g
- **Apparent Weight in Water**: 220 g
This calculation highlights the relationship between buoyancy and apparent weight, illustrating how the buoyant force reduces the effective weight of the submerged object.
To calculate the buoyancy acting on the block, we use Archimedes' principle, which states that the buoyant force on an object submerged in a fluid is equal to the weight of the fluid displaced by the object.
- **Volume of the Block**: 50 cc
- **Density of Water**: 1 g/cm³
- **Weight of Water Displaced**:
- Volume of water displaced = Volume of the block = 50 cc
- Weight of water displaced = Volume × Density = 50 cc × 1 g/cm³ = 50 g
- **Buoyant Force**:
- The buoyant force acting on the block is equal to the weight of the water displaced, which is 50 g or 0.05 kg (in SI units).
Apparent Weight in Water
The apparent weight of an object in a fluid is the actual weight minus the buoyant force.
- **Weight of the Block**:
- Weight = Volume × Density = 50 cc × 5400 g/cm³ = 270,000 g or 270 kg.
- **Apparent Weight Calculation**:
- Apparent Weight = Actual Weight - Buoyant Force
- Apparent Weight = 270 g - 50 g = 220 g
Summary
- **Buoyant Force**: 50 g
- **Apparent Weight in Water**: 220 g
This calculation highlights the relationship between buoyancy and apparent weight, illustrating how the buoyant force reduces the effective weight of the submerged object.
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A block of metal is immersed completely in. water. If the density is 5400 g/cm³ , volume is 50 cc , then calculate the buoyancy acting on block and it's apparent weight in water ?
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A block of metal is immersed completely in. water. If the density is 5400 g/cm³ , volume is 50 cc , then calculate the buoyancy acting on block and it's apparent weight in water ? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A block of metal is immersed completely in. water. If the density is 5400 g/cm³ , volume is 50 cc , then calculate the buoyancy acting on block and it's apparent weight in water ? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A block of metal is immersed completely in. water. If the density is 5400 g/cm³ , volume is 50 cc , then calculate the buoyancy acting on block and it's apparent weight in water ?.
A block of metal is immersed completely in. water. If the density is 5400 g/cm³ , volume is 50 cc , then calculate the buoyancy acting on block and it's apparent weight in water ? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A block of metal is immersed completely in. water. If the density is 5400 g/cm³ , volume is 50 cc , then calculate the buoyancy acting on block and it's apparent weight in water ? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A block of metal is immersed completely in. water. If the density is 5400 g/cm³ , volume is 50 cc , then calculate the buoyancy acting on block and it's apparent weight in water ?.
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