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Chapter 1: Q7DQ (page 395)

In describing the size of a large ship, one uses such expressions as 鈥渋t displaces 20,000 tons.鈥� What does this mean? Can the weight of the ship be obtained from this information?

Short Answer

Expert verified

The weight of the ship will be equal to the weight of the water displaced.

Step by step solution

01

Understanding the Archimedes principle

According to the Archimedes principle, the force applied in the upward direction by the water on an object submerged in it is equivalent to the amount of water displaced by the object.

02

Determining the weight of the ship

The statement 鈥渋t displaces 20,000 tons鈥� provides the weight of the water displaced by the ship. From the Archimedes principle, it is obtained that the weight of the water displaced is equivalent to the buoyant force. Therefore, the buoyant force will cancel out the weight of the ship and the obtained magnitude will be equal to the ship鈥檚 weight.

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