UPSC Exam  >  UPSC Questions  >  Four forces F = 3+4) N, F₂ = -34 N, F₁ = 2i N... Start Learning for Free
Four forces F = 3+4) N, F₂ = -34 N, F₁ = 2i N and F₁=j+4kN are acting simultaneously on a body to displace it from the position (3+2)-k)m to (Si+j+2k) m. The increase in the kinetic energy of the body is (neglect gravity)
(1) 0
(2) 8 J
(3) 6J
(4) 3 J?
Most Upvoted Answer
Four forces F = 3+4) N, F₂ = -34 N, F₁ = 2i N and F₁=j+4kN are acting ...
Understanding the Problem
The problem involves calculating the increase in kinetic energy of a body displaced by several forces. The initial and final positions of the body are provided, as well as the forces acting on it.
Forces Acting on the Body
- F₁ = 3i + 4j N
- F₂ = -3i + 4 N
- F₃ = 2i N
- F₄ = j + 4k N
Total Force Calculation
1. Sum of Forces:
- Total Force (F) = F₁ + F₂ + F₃ + F₄
- F = (3 - 3 + 2)i + (4 + 4 + 0 + 1)j + (0 + 0 + 0 + 4)k
- F = 2i + 9j + 4k N
Displacement Calculation
- Initial Position: (3 + 2 - k) m
- Final Position: (5 + j + 2k) m
- Displacement (d) = Final Position - Initial Position
- d = (5 - 3)i + (1 - 2)j + (2 + 1)k
- d = 2i - j + 3k m
Work Done Calculation
- Work (W) = F . d
- W = (2i + 9j + 4k) . (2i - j + 3k)
- W = (2 * 2) + (9 * -1) + (4 * 3)
- W = 4 - 9 + 12
- W = 7 J
Kinetic Energy Increase
According to the work-energy theorem, the work done on the body is equal to the increase in its kinetic energy.
- Therefore, the increase in kinetic energy = Work done = 7 J.
Conclusion
Since the options provided do not include 7 J, it seems there might be an error in the options or additional information might be needed. However, based on the calculations, the increase in kinetic energy is 7 J.
Explore Courses for UPSC exam

Top Courses for UPSC

Four forces F = 3+4) N, F₂ = -34 N, F₁ = 2i N and F₁=j+4kN are acting simultaneously on a body to displace it from the position (3+2)-k)m to (Si+j+2k) m. The increase in the kinetic energy of the body is (neglect gravity)(1) 0(2) 8 J(3) 6J(4) 3 J?
Question Description
Four forces F = 3+4) N, F₂ = -34 N, F₁ = 2i N and F₁=j+4kN are acting simultaneously on a body to displace it from the position (3+2)-k)m to (Si+j+2k) m. The increase in the kinetic energy of the body is (neglect gravity)(1) 0(2) 8 J(3) 6J(4) 3 J? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Four forces F = 3+4) N, F₂ = -34 N, F₁ = 2i N and F₁=j+4kN are acting simultaneously on a body to displace it from the position (3+2)-k)m to (Si+j+2k) m. The increase in the kinetic energy of the body is (neglect gravity)(1) 0(2) 8 J(3) 6J(4) 3 J? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Four forces F = 3+4) N, F₂ = -34 N, F₁ = 2i N and F₁=j+4kN are acting simultaneously on a body to displace it from the position (3+2)-k)m to (Si+j+2k) m. The increase in the kinetic energy of the body is (neglect gravity)(1) 0(2) 8 J(3) 6J(4) 3 J?.
Solutions for Four forces F = 3+4) N, F₂ = -34 N, F₁ = 2i N and F₁=j+4kN are acting simultaneously on a body to displace it from the position (3+2)-k)m to (Si+j+2k) m. The increase in the kinetic energy of the body is (neglect gravity)(1) 0(2) 8 J(3) 6J(4) 3 J? in English & in Hindi are available as part of our courses for UPSC. Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of Four forces F = 3+4) N, F₂ = -34 N, F₁ = 2i N and F₁=j+4kN are acting simultaneously on a body to displace it from the position (3+2)-k)m to (Si+j+2k) m. The increase in the kinetic energy of the body is (neglect gravity)(1) 0(2) 8 J(3) 6J(4) 3 J? defined & explained in the simplest way possible. Besides giving the explanation of Four forces F = 3+4) N, F₂ = -34 N, F₁ = 2i N and F₁=j+4kN are acting simultaneously on a body to displace it from the position (3+2)-k)m to (Si+j+2k) m. The increase in the kinetic energy of the body is (neglect gravity)(1) 0(2) 8 J(3) 6J(4) 3 J?, a detailed solution for Four forces F = 3+4) N, F₂ = -34 N, F₁ = 2i N and F₁=j+4kN are acting simultaneously on a body to displace it from the position (3+2)-k)m to (Si+j+2k) m. The increase in the kinetic energy of the body is (neglect gravity)(1) 0(2) 8 J(3) 6J(4) 3 J? has been provided alongside types of Four forces F = 3+4) N, F₂ = -34 N, F₁ = 2i N and F₁=j+4kN are acting simultaneously on a body to displace it from the position (3+2)-k)m to (Si+j+2k) m. The increase in the kinetic energy of the body is (neglect gravity)(1) 0(2) 8 J(3) 6J(4) 3 J? theory, EduRev gives you an ample number of questions to practice Four forces F = 3+4) N, F₂ = -34 N, F₁ = 2i N and F₁=j+4kN are acting simultaneously on a body to displace it from the position (3+2)-k)m to (Si+j+2k) m. The increase in the kinetic energy of the body is (neglect gravity)(1) 0(2) 8 J(3) 6J(4) 3 J? tests, examples and also practice UPSC tests.
Explore Courses for UPSC exam

Top Courses for UPSC

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