Water weighs 1,000kg per meter3. If a box that is 2 meter3 weighs 1,500kg, how much cargo can it hold before it starts to sink?
Question
Water weighs 1,000kg per meter3. If a box that is 2 meter3 weighs 1,500kg, how much cargo can it hold before it starts to sink?
Solution
To solve this problem, we need to understand the principle of buoyancy, which states that the buoyant force (the force that makes things float) is equal to the weight of the displaced fluid. In this case, the fluid is water.
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First, we need to find out how much water the box can displace when it's fully submerged. Since water weighs 1,000kg per cubic meter, a 2 cubic meter box can displace 2,000kg of water.
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The box itself weighs 1,500kg. So, to find out how much cargo it can hold before it starts to sink, we subtract the weight of the box from the weight of the displaced water.
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The calculation is 2,000kg (displaced water) - 1,500kg (box) = 500kg.
So, the box can hold up to 500kg of cargo before it starts to sink.
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