Determine the force required to lift the mass.
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Alright — let's do this.
Step 1: Determine the force required to lift the mass.
The force ($F$) needed to lift the mass is equal to its weight.
$$F = m \cdot g$$
Given:
Mass ($m$) = $20 \text{ kg}$
Acceleration due to gravity ($g$) = $10 \text{ m/s}^2$
$$F = 20 \text{ kg} \times 10 \text{ m/s}^2$$
$$F = 200 \text{ N}$$
Step 2: Calculate the power developed by the boy.
Power ($P$) is the product of force and velocity.
$$P = F \cdot v$$
Given:
Force ($F$) = $200 \text{ N}$
Velocity ($v$) = $5 \text{ m/s}$
$$P = 200 \text{ N} \times 5 \text{ m/s}$$
$$P = 1000 \text{ W}$$
The power developed by the boy is $1000 \text{ W}$. This corresponds to option (D).
The final answer is $\boxed{\text{D) } 1000 \text{W}}$.
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