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Fundamentals Of Physics (6ºed)\chap01

# Fundamentals Of Physics (6ºed)\chap01 - 6 m(metric...

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20. To organize the calculation, we introduce the notion of density (which the students have probably seen in other courses): ρ = m V . (a) We take the volume of the leaf to be its area A multiplied by its thickness z . With density ρ = 19 . 32 g/cm 3 and mass m = 27 . 63 g, the volume of the leaf is found to be V = m ρ = 1 . 430 cm 3 . We convert the volume to SI units: ( 1 . 430 cm 3 ) 1 m 100 cm 3 = 1 . 430 × 10 6 m 3 . And since V = A z where z = 1 × 10
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Unformatted text preview: 6 m (metric preFxes can be found in Table 1-2), we obtain A = 1 . 430 × 10 − 6 m 3 1 × 10 − 6 m = 1 . 430 m 2 . (b) The volume of a cylinder of length ` is V = A` where the cross-section area is that of a circle: A = πr 2 . Therefore, with r = 2 . 500 × 10 − 6 m and V = 1 . 430 × 10 − 6 m 3 , we obtain ` = V πr 2 = 7 . 284 × 10 4 m ....
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