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20 June, 16:04

Examine the scenarios. Scenario W: A force of 75 N moves a box 15 m. Scenario X: A force of 100 N moves a box 12 m. Scenario Y: A force of 50 N moves a box 20 m. Scenario Z: A force of 25 N moves a box 45 m. In which scenarios is the same amount of work done on the box?

W and X

W and Z

X and Y

Y and Z

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  1. 20 June, 16:05
    0
    We are given pairs of force and displacement.

    If the force was applied in the same direction as the displacement, then the formula for work is

    W = F d

    where w is the work

    F is the force

    d is the displacement

    Scenario W

    W = 75 N (15m) = 1125 N-m

    Scenario X

    W = 100 N (12 m) = 1200 N-m

    Senario Y

    W = 50 N (20 m) = 1000 N-m

    Scenario Z

    W = 24 N (45 m) = 1125 N-m

    The answer is Scenario W and Z
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