Class 11 Exam > Class 11 Questions > A uniform force of (3i+j) N acts on a particl...
Start Learning for Free
A uniform force of (3 i + j) N acts on a particle of mass 2 kg. Hence the particle is displaced from position (2 i + k) m to position ( 4 i + 3 j - k) m. The work done by the force on the particle is,
- a)9 J
- b)6 J
- c)13 J
- d)15 J
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A uniform force of (3i+j) N acts on a particle of mass 2 kg. Hence the...
Uniform force acting = 3i + j N
Displacement done = (4-2)i + 3j + (-1-1)k
= 2i + 3j -2k
Thus total work done = F.s (dot product here)
We get W = 3 x 2 + 1 x 3 + 0 x -2
= 9J
Displacement done = (4-2)i + 3j + (-1-1)k
= 2i + 3j -2k
Thus total work done = F.s (dot product here)
We get W = 3 x 2 + 1 x 3 + 0 x -2
= 9J
Most Upvoted Answer
A uniform force of (3i+j) N acts on a particle of mass 2 kg. Hence the...
Given information:
Force, F = 3i + j N
Mass, m = 2 kg
Initial Position, r1 = 2i + k m
Final Position, r2 = 4i + 3j - k m
To find: Work done by the force on the particle
Formula used: Work done, W = Force x Displacement x cosθ
where,
Force = F
Displacement = r2 - r1
θ = angle between the force and displacement vectors
Calculation:
Displacement vector, d = r2 - r1
= (4i + 3j - k) - (2i + k)
= 2i + 3j - 2k
Force vector, F = 3i + j
θ = angle between F and d
cosθ = (F . d) / (|F| . |d|)
where,
|F| = magnitude of F
|d| = magnitude of d
|F| = √(3² + 1²) = √10
|d| = √(2² + 3² + (-2)²) = √17
F . d = (3i + j) . (2i + 3j - 2k)
= 6 + 3 - 0
= 9
cosθ = (9) / (√10 . √17)
= 9 / √170
Work done, W = F . d . cosθ
= (3i + j) . (2i + 3j - 2k) . (9 / √170)
= 5.29 J (approx)
Therefore, the correct option is (A) 9 J.
Force, F = 3i + j N
Mass, m = 2 kg
Initial Position, r1 = 2i + k m
Final Position, r2 = 4i + 3j - k m
To find: Work done by the force on the particle
Formula used: Work done, W = Force x Displacement x cosθ
where,
Force = F
Displacement = r2 - r1
θ = angle between the force and displacement vectors
Calculation:
Displacement vector, d = r2 - r1
= (4i + 3j - k) - (2i + k)
= 2i + 3j - 2k
Force vector, F = 3i + j
θ = angle between F and d
cosθ = (F . d) / (|F| . |d|)
where,
|F| = magnitude of F
|d| = magnitude of d
|F| = √(3² + 1²) = √10
|d| = √(2² + 3² + (-2)²) = √17
F . d = (3i + j) . (2i + 3j - 2k)
= 6 + 3 - 0
= 9
cosθ = (9) / (√10 . √17)
= 9 / √170
Work done, W = F . d . cosθ
= (3i + j) . (2i + 3j - 2k) . (9 / √170)
= 5.29 J (approx)
Therefore, the correct option is (A) 9 J.
|
Explore Courses for Class 11 exam
|
|
Top Courses for Class 11View all
Question Description
A uniform force of (3i+j) N acts on a particle of mass 2 kg. Hence the particle is displaced from position (2i+k) m to position ( 4i+ 3j-k) m. The work done by the force on the particle is,a)9 Jb)6 Jc)13 Jd)15 JCorrect answer is option 'A'. Can you explain this answer? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A uniform force of (3i+j) N acts on a particle of mass 2 kg. Hence the particle is displaced from position (2i+k) m to position ( 4i+ 3j-k) m. The work done by the force on the particle is,a)9 Jb)6 Jc)13 Jd)15 JCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A uniform force of (3i+j) N acts on a particle of mass 2 kg. Hence the particle is displaced from position (2i+k) m to position ( 4i+ 3j-k) m. The work done by the force on the particle is,a)9 Jb)6 Jc)13 Jd)15 JCorrect answer is option 'A'. Can you explain this answer?.
A uniform force of (3i+j) N acts on a particle of mass 2 kg. Hence the particle is displaced from position (2i+k) m to position ( 4i+ 3j-k) m. The work done by the force on the particle is,a)9 Jb)6 Jc)13 Jd)15 JCorrect answer is option 'A'. Can you explain this answer? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A uniform force of (3i+j) N acts on a particle of mass 2 kg. Hence the particle is displaced from position (2i+k) m to position ( 4i+ 3j-k) m. The work done by the force on the particle is,a)9 Jb)6 Jc)13 Jd)15 JCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A uniform force of (3i+j) N acts on a particle of mass 2 kg. Hence the particle is displaced from position (2i+k) m to position ( 4i+ 3j-k) m. The work done by the force on the particle is,a)9 Jb)6 Jc)13 Jd)15 JCorrect answer is option 'A'. Can you explain this answer?.
Solutions for A uniform force of (3i+j) N acts on a particle of mass 2 kg. Hence the particle is displaced from position (2i+k) m to position ( 4i+ 3j-k) m. The work done by the force on the particle is,a)9 Jb)6 Jc)13 Jd)15 JCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 11.
Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of A uniform force of (3i+j) N acts on a particle of mass 2 kg. Hence the particle is displaced from position (2i+k) m to position ( 4i+ 3j-k) m. The work done by the force on the particle is,a)9 Jb)6 Jc)13 Jd)15 JCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A uniform force of (3i+j) N acts on a particle of mass 2 kg. Hence the particle is displaced from position (2i+k) m to position ( 4i+ 3j-k) m. The work done by the force on the particle is,a)9 Jb)6 Jc)13 Jd)15 JCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for A uniform force of (3i+j) N acts on a particle of mass 2 kg. Hence the particle is displaced from position (2i+k) m to position ( 4i+ 3j-k) m. The work done by the force on the particle is,a)9 Jb)6 Jc)13 Jd)15 JCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of A uniform force of (3i+j) N acts on a particle of mass 2 kg. Hence the particle is displaced from position (2i+k) m to position ( 4i+ 3j-k) m. The work done by the force on the particle is,a)9 Jb)6 Jc)13 Jd)15 JCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A uniform force of (3i+j) N acts on a particle of mass 2 kg. Hence the particle is displaced from position (2i+k) m to position ( 4i+ 3j-k) m. The work done by the force on the particle is,a)9 Jb)6 Jc)13 Jd)15 JCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 11 tests.
|
|
Explore Courses for Class 11 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup