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11 April, 22:19

A trough is 3 meters long, 2 meters wide, and 4 meters deep. The vertical cross-section of the trough parallel to an end is shaped like an isoceles triangle (with height 4 meters, and base, on top, of length 2 meters). The trough is full of water (density 1000 kg m 3 1000kgm3). Find the amount of work in joules required to empty the trough by pumping the water over the top. (Note: Use g = 9.8 m s 2 g=9.8ms2 as the acceleration due to gravity.)

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  1. 11 April, 22:30
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    work done is 470400 J

    Explanation:

    given data

    long = 3 m

    wide = 2 m

    deep = 4 m

    density = 1000 kg/m³

    to find out

    Find the amount of work in joules

    solution

    we know here volume = area * length

    so

    area = 0.5 * base*height

    area = 0.5 * 2*4

    area = 4 m²

    so volume = 4 * 3 = 12 m³

    and

    weight of water = volume * density*g

    weight = 12 * 1000 * 9.8

    weight = 117600 N

    so

    work done = weight * height

    work done = 117600 * 4

    work done = 470400 J
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