NEET Exam  >  NEET Questions  >  Find the limiting force of 4kg cork lifebelt ... Start Learning for Free
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 .?
Verified Answer
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
This question is part of UPSC exam. View all NEET courses
Most Upvoted Answer
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:
  • 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.
Community Answer
Find the limiting force of 4kg cork lifebelt in sea water if densities...
Thanks ***
Attention NEET Students!
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.
Explore Courses for NEET exam

Top Courses for NEET

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 .?
Question Description
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 .?.
Solutions 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 .? in English & in Hindi are available as part of our courses for NEET. Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of 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 .? defined & explained in the simplest way possible. Besides giving the explanation of 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 .?, a detailed solution 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 .? has been provided alongside types of 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 .? theory, EduRev gives you an ample number of questions to practice 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 .? tests, examples and also practice NEET tests.
Explore Courses for NEET exam

Top Courses for NEET

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev