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What is the formula for combined work when two workers are involved?

Option 1: W = W1 + W2
Option 2: W = W1 * W2
Option 3: W = W1 - W2
Option 4: W = (W1 + W2) / 2

1 Answer

5 votes

Final answer:

The formula for combined work when two workers are represented as forces is the sum of their individual works, demonstrating that the total work done on a system is additive. The combined work would be calculated as W = W1 + W2, where W1 and W2 are the works done by each worker, respectively.

Step-by-step explanation:

The formula for combined work when two workers are involved does not simply involve adding or multiplying their individual works as in options 1 or 2, nor does it involve subtracting as in option 3, or averaging them as in option 4. The key is to understand that the total work done on a system, when considering multiple forces (workers), is the sum of the work done by all of the forces. If workers represent different forces, their combined work would be calculated as a sum. This concept aligns with the principle in physics that the total or net work is the sum of individual works done by each force.

For example, if Worker 1 did 10 Joules (W1) of work and Worker 2 did 15 Joules (W2) of work, the combined work (W) would be:

W = W1 + W2

In this scenario, W = 10 J + 15 J = 25 J. Therefore, the formula for combined work is most closely represented by the mathematical operation of addition, as is often used in physics to find the net work done by multiple forces.

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User Ymoreau
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