c asked in 社會與文化語言 · 1 decade ago

大一物理(測量)

Gold,which has a density of 19.32 g/cm3,is the most ductile metal and can be pressed into a thin leaf or drawn out into a long fiber.

黃金,擁有密度19.32 g/cm3,是最韌性金屬材料,可壓成薄葉或抽出到長纖維。

(a)if a sample of gold,with a mass of 27.63g, is pressed into a leaf of 1.000 thickness,what is the area of the leaf?

(a) 如果樣本的黃金,以大規模27.63克,被壓入的1.000葉厚度,什麼是該面積的葉?

(b)if,instead,the gold is drawn out into a cylindrical fiber of radius 2.500 micrometer,what is the length of the fiber?

(b)相反,如果黃金是抽出成一個圓柱形纖維的半徑2.500微米,什麼是纖維黃金的長度?

1 Answer

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  • 師兄
    Lv 6
    1 decade ago
    Favorite Answer

    (a)、∵黃金體積=1/19.32 g/cm3*27.63g=27.63/19.32=1.430㎝3

      ∴黃金面積=1.430/1.000=1.430㎝2

    (b)、∵2.500 micrometer=0.00025㎝

       圓柱體體積=3.14159*0.00025*0.00025*高=1.963(10的負7次方)*高

      ∴黃金纖維的長度=(1.430)㎝31.963(10的負7次方)㎝2

              =7.285(10的6次方)㎝=72850 M

    2009-10-11 19:02:34 補充:

    數學除號不見了?改為:

    ∴黃金纖維的長度=(1.430)㎝3/1.963×(10的負7次方)㎝2

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