NEET Exam > NEET Questions > A particle of mass 2 kg Travels along a strai...
Start Learning for Free
A particle of mass 2 kg Travels along a straight line with velocity V = a(x) ^1/2 where 'a' is constant. the work done by the net force during the displacement of particle from x = 0 to x=4m is?
Most Upvoted Answer
A particle of mass 2 kg Travels along a straight line with velocity V ...
Given:
- Mass of the particle, m = 2 kg
- Velocity of the particle, V = a(x) ^1/2
- Constant, a is given
Work Done Calculation:
1. The work done by the net force is given by the equation:
W = ∫F.dx = ∫m.a(x) ^1/2.dx
2. Given that force, F = m.a(x) ^1/2
3. Substituting the force in the work done equation, we get:
W = ∫m.a(x) ^1/2.dx
4. W = ∫2.a(x) ^1/2.dx from x = 0 to x = 4
5. W = 2∫a(x) ^1/2.dx from 0 to 4
Integrating with respect to x:
1. W = 2(2/3)a(x) ^3/2 from 0 to 4
2. W = 4/3 * a(4) ^3/2 - 4/3 * a(0) ^3/2
3. W = 4/3 * a(8) - 4/3 * a(0)
4. W = 32/3 * a
Therefore, the work done by the net force during the displacement of the particle from x = 0 to x = 4m is 32/3 * a.
- Mass of the particle, m = 2 kg
- Velocity of the particle, V = a(x) ^1/2
- Constant, a is given
Work Done Calculation:
1. The work done by the net force is given by the equation:
W = ∫F.dx = ∫m.a(x) ^1/2.dx
2. Given that force, F = m.a(x) ^1/2
3. Substituting the force in the work done equation, we get:
W = ∫m.a(x) ^1/2.dx
4. W = ∫2.a(x) ^1/2.dx from x = 0 to x = 4
5. W = 2∫a(x) ^1/2.dx from 0 to 4
Integrating with respect to x:
1. W = 2(2/3)a(x) ^3/2 from 0 to 4
2. W = 4/3 * a(4) ^3/2 - 4/3 * a(0) ^3/2
3. W = 4/3 * a(8) - 4/3 * a(0)
4. W = 32/3 * a
Therefore, the work done by the net force during the displacement of the particle from x = 0 to x = 4m is 32/3 * a.
Community Answer
A particle of mass 2 kg Travels along a straight line with velocity V ...
Is the ans 4a^2
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
|
|
Similar NEET Doubts
Top Courses for NEETView all
A particle of mass 2 kg Travels along a straight line with velocity V = a(x) ^1/2 where 'a' is constant. the work done by the net force during the displacement of particle from x = 0 to x=4m is?
Question Description
A particle of mass 2 kg Travels along a straight line with velocity V = a(x) ^1/2 where 'a' is constant. the work done by the net force during the displacement of particle from x = 0 to x=4m is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A particle of mass 2 kg Travels along a straight line with velocity V = a(x) ^1/2 where 'a' is constant. the work done by the net force during the displacement of particle from x = 0 to x=4m is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle of mass 2 kg Travels along a straight line with velocity V = a(x) ^1/2 where 'a' is constant. the work done by the net force during the displacement of particle from x = 0 to x=4m is?.
A particle of mass 2 kg Travels along a straight line with velocity V = a(x) ^1/2 where 'a' is constant. the work done by the net force during the displacement of particle from x = 0 to x=4m is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A particle of mass 2 kg Travels along a straight line with velocity V = a(x) ^1/2 where 'a' is constant. the work done by the net force during the displacement of particle from x = 0 to x=4m is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle of mass 2 kg Travels along a straight line with velocity V = a(x) ^1/2 where 'a' is constant. the work done by the net force during the displacement of particle from x = 0 to x=4m is?.
Solutions for A particle of mass 2 kg Travels along a straight line with velocity V = a(x) ^1/2 where 'a' is constant. the work done by the net force during the displacement of particle from x = 0 to x=4m is? 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 A particle of mass 2 kg Travels along a straight line with velocity V = a(x) ^1/2 where 'a' is constant. the work done by the net force during the displacement of particle from x = 0 to x=4m is? defined & explained in the simplest way possible. Besides giving the explanation of
A particle of mass 2 kg Travels along a straight line with velocity V = a(x) ^1/2 where 'a' is constant. the work done by the net force during the displacement of particle from x = 0 to x=4m is?, a detailed solution for A particle of mass 2 kg Travels along a straight line with velocity V = a(x) ^1/2 where 'a' is constant. the work done by the net force during the displacement of particle from x = 0 to x=4m is? has been provided alongside types of A particle of mass 2 kg Travels along a straight line with velocity V = a(x) ^1/2 where 'a' is constant. the work done by the net force during the displacement of particle from x = 0 to x=4m is? theory, EduRev gives you an
ample number of questions to practice A particle of mass 2 kg Travels along a straight line with velocity V = a(x) ^1/2 where 'a' is constant. the work done by the net force during the displacement of particle from x = 0 to x=4m is? tests, examples and also practice NEET tests.
|
|
Explore Courses for NEET 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!
within 7 days!
Takes less than 10 seconds to signup