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

A pump raises 600 kg of water per minute from a well 15 m deep and ejects it at 10 m/s (g = 10 m/s<sup>2</sup>). The power delivered by the pump is:

Answer: 2000 W.

  • A 1500 W
  • B 2500 W
  • C 1000 W
  • D 2000 W

Correct answer: D. 2000 W

Explanation: Mass rate = 10 kg/s. Power = mgh/t + (1/2)mv<sup>2</sup>/t = 10 &times; 10 &times; 15 + 0.5 &times; 10 &times; 100 = 1500 + 500 = 2000 W.

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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