Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > A uniform body of size 4 m long * 2.5 m wide ...
Start Learning for Free
A uniform body of size 4 m long * 2.5 m wide * 1.5 m deep floats in water. What is the weight of the body if depth of immersion is 1.5 m ?
- a)147.1 kN
- b)294.3 kN
- c)73.5 kN
- d)588.6 kN
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A uniform body of size 4 m long * 2.5 m wide * 1.5 m deep floats in wa...
Explanation: Weight of Body = Weight of water displaced
= ρ*g*Volume of displaced water=9.81*1000*4*2.5*1.5=147.1kN.
= ρ*g*Volume of displaced water=9.81*1000*4*2.5*1.5=147.1kN.
Most Upvoted Answer
A uniform body of size 4 m long * 2.5 m wide * 1.5 m deep floats in wa...
The weight of a body floating in water can be determined using Archimedes' principle, which states that the buoyant force acting on a body is equal to the weight of the fluid displaced by the body.
In this case, the body is floating in water, so the buoyant force acting on it is equal to its weight. We can calculate the weight of the body using the formula:
Weight = Volume × Density × g
Where:
- Volume is the volume of the body (length × width × depth of immersion)
- Density is the density of water (1000 kg/m³)
- g is the acceleration due to gravity (9.81 m/s²)
Let's calculate the weight of the body step by step:
1. Calculate the volume of the body:
Volume = 4 m × 2.5 m × 1.5 m = 15 m³
2. Calculate the weight:
Weight = Volume × Density × g
= 15 m³ × 1000 kg/m³ × 9.81 m/s²
Converting units:
Weight = 15 m³ × 1000 kg/m³ × 9.81 m/s² / 1000 N/kN
= 147.15 kN
Therefore, the weight of the body is approximately 147.1 kN.
So, the correct answer is option A) 147.1 kN.
In this case, the body is floating in water, so the buoyant force acting on it is equal to its weight. We can calculate the weight of the body using the formula:
Weight = Volume × Density × g
Where:
- Volume is the volume of the body (length × width × depth of immersion)
- Density is the density of water (1000 kg/m³)
- g is the acceleration due to gravity (9.81 m/s²)
Let's calculate the weight of the body step by step:
1. Calculate the volume of the body:
Volume = 4 m × 2.5 m × 1.5 m = 15 m³
2. Calculate the weight:
Weight = Volume × Density × g
= 15 m³ × 1000 kg/m³ × 9.81 m/s²
Converting units:
Weight = 15 m³ × 1000 kg/m³ × 9.81 m/s² / 1000 N/kN
= 147.15 kN
Therefore, the weight of the body is approximately 147.1 kN.
So, the correct answer is option A) 147.1 kN.
Attention Civil Engineering (CE) Students!
To make sure you are not studying endlessly, EduRev has designed Civil Engineering (CE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Civil Engineering (CE).
|
Explore Courses for Civil Engineering (CE) exam
|
|
Similar Civil Engineering (CE) Doubts
Top Courses for Civil Engineering (CE)View all
A uniform body of size 4 m long * 2.5 m wide * 1.5 m deep floats in water. What is the weight of the body if depth of immersion is 1.5 m ?a)147.1 kNb)294.3 kNc)73.5 kNd)588.6 kNCorrect answer is option 'A'. Can you explain this answer?
Question Description
A uniform body of size 4 m long * 2.5 m wide * 1.5 m deep floats in water. What is the weight of the body if depth of immersion is 1.5 m ?a)147.1 kNb)294.3 kNc)73.5 kNd)588.6 kNCorrect answer is option 'A'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A uniform body of size 4 m long * 2.5 m wide * 1.5 m deep floats in water. What is the weight of the body if depth of immersion is 1.5 m ?a)147.1 kNb)294.3 kNc)73.5 kNd)588.6 kNCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A uniform body of size 4 m long * 2.5 m wide * 1.5 m deep floats in water. What is the weight of the body if depth of immersion is 1.5 m ?a)147.1 kNb)294.3 kNc)73.5 kNd)588.6 kNCorrect answer is option 'A'. Can you explain this answer?.
A uniform body of size 4 m long * 2.5 m wide * 1.5 m deep floats in water. What is the weight of the body if depth of immersion is 1.5 m ?a)147.1 kNb)294.3 kNc)73.5 kNd)588.6 kNCorrect answer is option 'A'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A uniform body of size 4 m long * 2.5 m wide * 1.5 m deep floats in water. What is the weight of the body if depth of immersion is 1.5 m ?a)147.1 kNb)294.3 kNc)73.5 kNd)588.6 kNCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A uniform body of size 4 m long * 2.5 m wide * 1.5 m deep floats in water. What is the weight of the body if depth of immersion is 1.5 m ?a)147.1 kNb)294.3 kNc)73.5 kNd)588.6 kNCorrect answer is option 'A'. Can you explain this answer?.
Solutions for A uniform body of size 4 m long * 2.5 m wide * 1.5 m deep floats in water. What is the weight of the body if depth of immersion is 1.5 m ?a)147.1 kNb)294.3 kNc)73.5 kNd)588.6 kNCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Civil Engineering (CE).
Download more important topics, notes, lectures and mock test series for Civil Engineering (CE) Exam by signing up for free.
Here you can find the meaning of A uniform body of size 4 m long * 2.5 m wide * 1.5 m deep floats in water. What is the weight of the body if depth of immersion is 1.5 m ?a)147.1 kNb)294.3 kNc)73.5 kNd)588.6 kNCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A uniform body of size 4 m long * 2.5 m wide * 1.5 m deep floats in water. What is the weight of the body if depth of immersion is 1.5 m ?a)147.1 kNb)294.3 kNc)73.5 kNd)588.6 kNCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for A uniform body of size 4 m long * 2.5 m wide * 1.5 m deep floats in water. What is the weight of the body if depth of immersion is 1.5 m ?a)147.1 kNb)294.3 kNc)73.5 kNd)588.6 kNCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of A uniform body of size 4 m long * 2.5 m wide * 1.5 m deep floats in water. What is the weight of the body if depth of immersion is 1.5 m ?a)147.1 kNb)294.3 kNc)73.5 kNd)588.6 kNCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A uniform body of size 4 m long * 2.5 m wide * 1.5 m deep floats in water. What is the weight of the body if depth of immersion is 1.5 m ?a)147.1 kNb)294.3 kNc)73.5 kNd)588.6 kNCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Civil Engineering (CE) tests.
|
|
Explore Courses for Civil Engineering (CE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup