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15 November, 05:57

Imagine that a tank is filled with water the hight of the liquid column is 7 meters and the area is 1.5 sq meters (m™). what's the force of gravity acting on the column of water.

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  1. 15 November, 07:24
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    Answer - 12,900 Newtons

    Explanation

    First, we find the volume of the water

    Volume = Area * Heinght

    = 1.5 m² x 7 m

    = 10.5 m³

    Covert the volume to liters

    1 m³ of water = 1000 liters

    10.5 m³ of water = 10.5 m³ * 1000 liters liter/m³

    = 10,500 liters

    Use the volume of water to calculate the mass

    1 liter of water weighs 1 kg

    10,500 liters of water = 10,500 * 1 kg/liter

    = 10,500 kg

    Now, we can calculate the force of gravity on the water

    Force of gravity on the water = Weight of the water

    Weight = Mass * Acceleration

    Mass = 10,500kg

    Acceleration (due to gravity) = 9.8 m/s²

    Force of gravity on the water

    = Weight of the water

    = Mass * Acceleration

    = 10,500 kg * 9.8 m/s²

    = 102,900 Newtons
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