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A boy lifts a 20 kg mass vertically at a constant speed of 5 m/s. If the acceleration due to gravity is 10 m/s², calculate the power developed by the boy.

Physics

ScanSolve AI Answer

Answer

D

1000W

Step-by-step solution

3 steps

Here's the solution for Question 33:

  1. Identify the given values.

    • Mass of the object, m=20 kgm = 20 \text{ kg}
    • Velocity, v=5 m/sv = 5 \text{ m/s}
    • Acceleration due to gravity, g=10 m/s2g = 10 \text{ m/s}^2
  2. Calculate the force required to lift the mass.

    In a single string pulley system, to lift a mass at a constant velocity, the force applied must be equal to the weight of the mass.

    F=Weight=m×gF = \text{Weight} = m \times g F=20 kg×10 m/s2F = 20 \text{ kg} \times 10 \text{ m/s}^2 F=200 NF = 200 \text{ N}
  3. Calculate the power developed by the boy.

    Power (PP) is the product of force (FF) and velocity (vv).

    P=F×vP = F \times v P=200 N×5 m/sP = 200 \text{ N} \times 5 \text{ m/s} P=1000 WP = 1000 \text{ W}

    The power developed by the boy is 1000 W1000 \text{ W}.

    The correct option is D) 1000W.

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