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Chapter 10: Q23P (page 260)

(II) What fraction of iron will be submerged when it floats in mercury?

Short Answer

Expert verified

The fraction of iron in mercury is 0.57.

Step by step solution

01

Understanding the floatation of a solid

For equilibrium, during floatation, the weight of the substance will be equal to the buoyant force of the fluid.

02

Calculation the fraction of the iron

The buoyant force due to the Vin part of the iron inside mercury is,

FB = Vin蚁驳

Here, 蟻f = 13.6 x 103 kg/m3 is the density of the mercury, and g is the gravitational acceleration.

The weight of iron of volume V is,

W = V蟻sg

Here, 蟻s = 7.8 x 103 Kg/m3 is the density of the iron.

Equate these two forces for equilibrium and get,

Substitute the given values and get,

Hence, the submerged fraction of iron is 0.57.

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Most popular questions from this chapter

You hold a piece of wood in one hand and a piece of iron in the other. Both pieces have the same volume, and you hold them fully under water at the same depth. At the moment you let go of them, which one experiences the greater buoyancy force?

(a) The piece of wood.

(b) The piece of iron.

(c) They experience the same buoyancy force.

(d) More information is needed.

If you dangle two pieces of paper vertically, a few inches apart (Fig. 10鈥�44), and blow between them, how do you think the papers will move? Try it and see. Explain.

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\(\% {\rm{Body fat}} = \frac{{{\rm{495}}}}{X} - 450\).

(II)A\(\frac{5}{8}\;{\rm{in}}\). (inside) diameter garden hose is used to fill a round swimming pool 6.1 m in diameter. How long will it take to fill the pool to a depth of 1.4 m if water flows from the hose at a speed of 0.40 m/s?

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