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Find the limiting force of 4kg cork lifebelt in sea water if densities of cork and sea water are 0.2×10^3 & 1.03× 10^3 respectively .?
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Find the limiting force of 4kg cork lifebelt in sea water if densities...
Volume of cork life belt = 4 kg / (200 kg/m^3) = 0.02 m^3
If the entire volume of cork life belt is immersed in water, it will displace 0.02 m^3 of sea water.
Then, the force of buoyancy will be:
0.02 m^3 * 1030 kg/m^3 * 9.81 m/sec^2 = 202.086 Newtons
Additional load it can carry (excluding its own weight)
= 202.086 N - 4 * 9.81 = 162.846 Newtons
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Find the limiting force of 4kg cork lifebelt in sea water if densities...
Introduction
To determine the limiting force acting on a 4 kg cork lifebelt submerged in seawater, we will apply the principle of buoyancy, which states that the upward buoyant force on an object submerged in a fluid is equal to the weight of the fluid displaced by the object.
Parameters
- Mass of cork lifebelt (m): 4 kg
- Density of cork (ρ_cork): 0.2 × 10³ kg/m³
- Density of seawater (ρ_water): 1.03 × 10³ kg/m³
Calculating Volume of Cork
The volume (V) of the cork lifebelt can be calculated using the formula:
Substituting the known values:
Buoyant Force Calculation
The buoyant force (F_buoyant) can be determined using Archimedes’ principle:
Where g (acceleration due to gravity) is approximately 9.81 m/s². Thus:
Conclusion
The limiting force acting on the cork lifebelt when submerged in seawater is approximately 20.19 N. This buoyant force counteracts the weight of the cork lifebelt, allowing it to float.
To determine the limiting force acting on a 4 kg cork lifebelt submerged in seawater, we will apply the principle of buoyancy, which states that the upward buoyant force on an object submerged in a fluid is equal to the weight of the fluid displaced by the object.
Parameters
- Mass of cork lifebelt (m): 4 kg
- Density of cork (ρ_cork): 0.2 × 10³ kg/m³
- Density of seawater (ρ_water): 1.03 × 10³ kg/m³
Calculating Volume of Cork
The volume (V) of the cork lifebelt can be calculated using the formula:
- V = m / ρ_cork
Substituting the known values:
- V = 4 kg / (0.2 × 10³ kg/m³) = 0.02 m³
Buoyant Force Calculation
The buoyant force (F_buoyant) can be determined using Archimedes’ principle:
- F_buoyant = V × ρ_water × g
Where g (acceleration due to gravity) is approximately 9.81 m/s². Thus:
- F_buoyant = 0.02 m³ × (1.03 × 10³ kg/m³) × 9.81 m/s²
- F_buoyant ≈ 20.19 N
Conclusion
The limiting force acting on the cork lifebelt when submerged in seawater is approximately 20.19 N. This buoyant force counteracts the weight of the cork lifebelt, allowing it to float.
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Find the limiting force of 4kg cork lifebelt in sea water if densities...
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Find the limiting force of 4kg cork lifebelt in sea water if densities of cork and sea water are 0.2×10^3 & 1.03× 10^3 respectively .?
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Find the limiting force of 4kg cork lifebelt in sea water if densities of cork and sea water are 0.2×10^3 & 1.03× 10^3 respectively .? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Find the limiting force of 4kg cork lifebelt in sea water if densities of cork and sea water are 0.2×10^3 & 1.03× 10^3 respectively .? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the limiting force of 4kg cork lifebelt in sea water if densities of cork and sea water are 0.2×10^3 & 1.03× 10^3 respectively .?.
Find the limiting force of 4kg cork lifebelt in sea water if densities of cork and sea water are 0.2×10^3 & 1.03× 10^3 respectively .? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Find the limiting force of 4kg cork lifebelt in sea water if densities of cork and sea water are 0.2×10^3 & 1.03× 10^3 respectively .? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the limiting force of 4kg cork lifebelt in sea water if densities of cork and sea water are 0.2×10^3 & 1.03× 10^3 respectively .?.
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