Question

the work that is done when twice the load is lifted twice the distance is ______.
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○ three times as much
○ twice as much
○ four times as much
○ the same

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Explanation:

Step1: Recall the work formula

The formula for work is \( W = F \times d \), where \( F \) is the force (load) and \( d \) is the distance.

Step2: Analyze the initial and new conditions

Let the initial load be \( F_1 = F \) and initial distance be \( d_1 = d \). So initial work \( W_1 = F \times d \).

Now, the new load \( F_2 = 2F \) (twice the load) and new distance \( d_2 = 2d \) (twice the distance).

Step3: Calculate the new work

New work \( W_2 = F_2 \times d_2 = (2F) \times (2d) = 4Fd \).

Step4: Compare \( W_2 \) with \( W_1 \)

Since \( W_1 = Fd \) and \( W_2 = 4Fd \), \( W_2 = 4W_1 \). So the work done is four times as much.

Answer:

four times as much