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22 May, 02:50

A box rests on a horizontal, frictionless surface. a girl pushes on the box with a force of 17 n to the right and a boy pushes on the box with a force of 13 n to the left. the box moves 3.5 m to the right. find the work done by (a) the girl, (b) the boy, and (c) the net force.

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  1. 22 May, 03:57
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    Refer to the diagram shown below.

    The net force acting on the box is 17 - 13 = 4 N to the right.

    The box moves on a friction surface by 3.5 m to the right.

    By definition,

    Work = Force x Distance.

    (a) The work done by the girl is

    W₁ = (17 N) * (3.5 m) = 59.5 J

    (b) The work done by the boy is

    W₂ = (13 N) * (-3.5 m) = - 45.5 J

    (c) The work done by the net force is

    W₃ = (4 N) * (3.5 m) = 14 J

    Note that W₃ = W₁ + W₂

    Answers:

    (a) 59.5 J

    (b) - 45.5 J

    (c) 14 J
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