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JEE Main 2023 (10 Apr, Shift 2) · Power

Power question from JEE Main 2023 (10 Apr, Shift 2)

Q20JEE Main 2023 · 10 APR · SHIFT 2Medium

Power

If the maximum load carried by an elevator is 1400 kg1400\text{ kg} ( 600 kg600\text{ kg} - Passengers + 800 kg\text{kg} - elevator), which is moving up with a uniform speed of 3 m s−13\text{ m s}^{-1} and the frictional force acting on it is 2000 N2000\text{ N}, then the maximum power used by the motor is __________ kW (g=10 m/s2)\text{kW}\ \left(g = 10\text{ m/s}^2\right)

Numerical answer type. Work it out, then open the answer.

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Answer: 48

  1. At uniform speed F=mg+f=1400×10+2000=16000 NF = mg + f = 1400 \times 10 + 2000 = 16000\text{ N}.
  2. P=Fv=16000×3=48000 WP = Fv = 16000 \times 3 = 48000\text{ W}
  3. So P=48 kWP = 48\text{ kW}.
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