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Chapter 10: Q7Q (page 260)

Why don鈥檛 ships made of the iron sink?

Short Answer

Expert verified

The overall density of the ship is less than the density of the water.

Step by step solution

01

Understanding the shape of a ship

The ship is in the form of V-shaped hulls. The ships generally displace more water in the ocean. The ship is made hollow inside it. The hollow space in the ship is filled with air. Due to this structure and composition, the ship's density becomes less compared to the water.

02

Explanation of the ships made of iron doesn’t sink

The ship's material composition is not pure iron. If iron ships are made up of pure iron, the ship will sink in the water. The area between the hull and the deck is open (vacant or hollow). Due to this, the water density is higher than the density of the ship.

The density relation can be expressed as,


Here, Miron is the mass of the iron, Vship is the volume of the ship, and is the 蟻 蟻water density of water.

Thus, the iron ships float in the water.

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Most popular questions from this chapter

An object that can float in both water and in oil (whose density is less than that ofwater) experiences a buoyant force that is

(a) Greater when it is floating in oil than when floating in water.

(b) Greater when it is floating in water than when floating in oil.

(c) The same when it is floating in water or in oil.

Question: A simple model (Fig. 10鈥�56) considers a continent as a block (density\( \approx {\bf{2800}}\;{\bf{kg/}}{{\bf{m}}^{\bf{3}}}\)) floating in the mantle rock around it (density\( \approx {\bf{3300}}\;{\bf{kg/}}{{\bf{m}}^{\bf{3}}}\)). Assuming the continent is 35 km thick (the average thickness of the Earth鈥檚 continental crust), estimate the height of the continent above the surrounding mantle rock.

Figure 10-56

Three containers are filled with water to the same height and have the same surface area at the base, but the total weight of water is different for each (Fig. 10鈥�46). In which container does the water exert the greatest force on the bottom of the container?

(a) Container A.

(b) Container B.

(c) Container C.

(d) All three are equal

A copper (Cu) weight is placed on top of a 0.40-kg block of wood (\({\bf{density = 0}}{\bf{.60 \times 1}}{{\bf{0}}^{\bf{3}}}\;{\bf{kg/}}{{\bf{m}}^{\bf{3}}}\) ) floating in water, as shown in Fig. 10鈥�58. What is the mass of the copper if the top of the wood block is exactly at the water鈥檚 surface?

Figure: 10-58

An ice cube floats in a glass of water filled to the brim. What can you say about the density of ice? As the ice melts, will the water overflow? Explain
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