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Chapter 14: Q. 17 (page 384)

A 2.0cm脳2.0cm脳6.0cmblock floats in water with its long axis vertical. The length of the block above water is 2.0cm. What is the block鈥檚 mass density?

Short Answer

Expert verified

The block's mass density is蚁b=667kg/m3

Step by step solution

01

Mass density.

The mass density of a substance, material, or item could be a measure of what quantity mass (or what number particles) it's in regard to the number of space it takes up.

02

Derive the mass formula.

Because the block is afloat That's, the burden performing on it's capable to the buoyant force, and it's not moving, neither up nor down. That is,

mbg=蚁wgVw鈬�mb=蚁wVw

where bstands for block and wfor water.

03

Find the mass density.

We can calculate the mass of a body by multiplying its density by its mass, mb=蚁bVb.

蚁bVb=蚁wVw鈬�蚁b=蚁wVwVb=蚁wa脳b脳(2/3)ca脳b脳c=23蚁w

We can calculate the density of a block using the density of water.

蚁b=231000=667kg/m3

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FIGURE Q14.4 shows two rectangular tanks, A and B, full of water. They have equal depths and equal thicknesses (the dimension into the page) but different widths.

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