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⚛️ Physics  ·  Work, Energy and Power  ·  NEET & JEE

A force F acts on a particle such that PE = (3x<sup>2</sup> + 2x) J. Force at x=2 m:

Answer: -14 N.

  • A -16 N
  • B -14 N
  • C 14 N
  • D 16 N

Correct answer: B. -14 N

Explanation: F = -dU/dx = -(6x + 2). At x=2: F = -(12+2) = -14 N.

Energy Conservation: KE ⇄ PE on a SwingA: PE maxKE = 0B: KE maxPE minC: PE maxKE = 0

As a pendulum swings, total mechanical energy (KE+PE) stays constant: at the highest points A and C, all energy is potential (zero speed); at the lowest point B, all of that energy has converted into kinetic energy (maximum speed).

Concept context

Work-energy theorem, potential energy, conservation of energy, collisions.

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