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1 August, 05:29

A piece of wood with density of 824 kg/m^3 is tied to the bottom of a pool and the wood does not move. The volume of the wood is 1.2 m^3. What is the tension is in the rope?

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  1. 1 August, 05:31
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    2069.76 N

    Explanation:

    density of wood = 824 kg/m^3

    density of water = 1000 kg/m^3

    Volume of wood = 1.2 m^3

    True weight of wood = volume of wood x density of wood x gravity

    True weight of wood = 1.2 x 824 x 9.8 = 9690.24 N

    Buoyant force acting on wood = volume of wood x density of water x gravity

    Buoyant force acting on wood = 1.2 x 1000 x 9.8 = 11760 N

    Tension in the rope = Buoyant force - True weight

    tension in rope = 11760 - 9690.24 = 2069.76 N
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