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The potential φ in Joule of a particle of mass 1 kg moving in x - y plane obey the law of φ = 3x + 4y. Here x and y are in meters. If the particle is at rest at (6m, 8m) at time t = 0, then the work done by conservative force on the particle from the initial position to the instant when it crosses the x - axis is
  • a)
    25 J
  • b)
    -25 J
  • c)
    50 J
  • d)
    -50 J
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The potential φin Joule of a particle of mass 1 kg moving in x - y...

OR, the direction of motion of the particle is along the origin. The particle will cross the X-axis at origin.
So, by the energy conservation at time t = 0, (6m, 8m) and at origin 
Ki+ Ui = Kf + Uf
0 + ( 6 x 3 + 4 x 8 ) = K f + ( 0 x 3 + 0 x 4 )
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The potential φin Joule of a particle of mass 1 kg moving in x - y plane obey the law of φ= 3x + 4y. Here x and y are in meters. If the particle is at rest at (6m, 8m) at time t = 0, then the work done by conservative force on the particle from the initial position to the instant when it crosses the x - axis isa)25 Jb)-25 Jc)50 Jd)-50 JCorrect answer is option 'C'. Can you explain this answer?
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The potential φin Joule of a particle of mass 1 kg moving in x - y plane obey the law of φ= 3x + 4y. Here x and y are in meters. If the particle is at rest at (6m, 8m) at time t = 0, then the work done by conservative force on the particle from the initial position to the instant when it crosses the x - axis isa)25 Jb)-25 Jc)50 Jd)-50 JCorrect answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The potential φin Joule of a particle of mass 1 kg moving in x - y plane obey the law of φ= 3x + 4y. Here x and y are in meters. If the particle is at rest at (6m, 8m) at time t = 0, then the work done by conservative force on the particle from the initial position to the instant when it crosses the x - axis isa)25 Jb)-25 Jc)50 Jd)-50 JCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The potential φin Joule of a particle of mass 1 kg moving in x - y plane obey the law of φ= 3x + 4y. Here x and y are in meters. If the particle is at rest at (6m, 8m) at time t = 0, then the work done by conservative force on the particle from the initial position to the instant when it crosses the x - axis isa)25 Jb)-25 Jc)50 Jd)-50 JCorrect answer is option 'C'. Can you explain this answer?.
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