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10 January, 13:22

A man weighing 180 lbf pushes a block weighing 100 lbf along a horizontal plane. the dynamic coefficient of friction between the block and plane is 0.2. assuming that the block moves at a constant speed, how much work is required to move the block 100 ft considering the (a) the block and (b) the man as the system.

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  1. 10 January, 13:39
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    The first thing you should know is that the work is defined as:

    W = F * d

    Where

    F = force

    d = displacement

    We have then

    (a) the block

    F = (0.2) * (100) = 20

    d = 100

    W = (20) * (100) = 2000 ft. lbf

    (b) the man as the system.

    F = (0.2) * (100 + 180) = 56

    d = 100

    W = (56) * (100) = 5600 ft. lbf

    answer:

    (a) 2000 ft. lbf

    (b) 5600 ft. lbf
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