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31 May, 03:52

A small ferryboat is 3.90 m wide and 6.30 m long. when a loaded truck pulls onto it, the boat sinks an additional 5.00 cm into the river. what is the weight of the truck?

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  1. 31 May, 04:47
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    When the truck's weight is added to the boat, the boat sinks 5 cm deeper,

    and displaces additional water whose weight is equal to the weight of the

    truck.

    The volume of the additional displaced water is

    (3.9 m) x (6.3 m) x (5.0 cm)

    = (3.9 m) x (6.3 m) x (0.05 m) = 1.2285 m³.

    The weight of that much water is the weight of the truck.

    Mass of 1 liter of water = 1 kilogram

    1.2285 m³ = 1,228.5 liters = 1,228.5 kg of water.

    Weight = (mass) x (gravity)

    = (1,228.5 kg) x (9.8 m/s²) = 12,039 Newtons.

    (about 2,708 pounds)
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