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24 December, 06:45

P O R F A V O R

4. Expresa las siguientes magnitudes en unidades del Sistema

Internacional. (1 punto)

a. 45 m3

b. 1250 cm3

c. 63 días

d. 97 cm/min2

e. 927 g∙cm/min2

f. 97 km/h2

g. 2500 g/cm2

h. 36 km/h

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Answers (1)
  1. 24 December, 07:30
    0
    a. 45*10³ kg

    b. 1.25 kg

    c. 5443200 s

    d. 2.69*10⁻⁴ m/s²

    e. 2.57*10⁻⁶N

    f. 7.48*10⁻³ m / s²

    g. 2.45 Pa

    h. 10 m/s

    Explanation:

    The SI units are: kg, m, s, N, K, A, Pa, J and cd

    a. 1 g is the mass for 1 cm³. We convert the m³ to cm³

    45 m³. 1*10⁶ cm³ / 1 m³ = 45*10⁶ cm³

    By the way, 45*10⁶ cm³ = 45*10⁶ g

    We convert the g to kg → 45*10⁶ g. 1 kg / 1000 g = 45*10³ kg

    b. As 1 g = 1 cm³, we convert the cm³ to g and then, the g to kg

    1250 cm³ = 1250 g → 1250 g. 1kg / 1000 g = 1.25 kg

    c. 1 day has 24 hours; 1 hour has 60 minutes; 1 minute has 60 seconds

    1 hour has 3600 s. Then 24 h. 3600 s / 1 h = 86400 s

    86400 s/d. 63 d = 5443200 s

    d. 1 min² = 3600 s²

    97 cm / 3600 s² = 0.0269 cm/s² / 100 = 2.69*10⁻⁴ m/s²

    e. 927 g. cm / min² / 3600 s² = 0.2575 g. cm/s² → dyn

    We need to convert dyn to N

    1 dyn = 10⁻⁵N → 0.2575 dyn. 10⁻⁵N / 1dyn = 2.57*10⁻⁶N

    f. 1 m/s² = 12960 km/h²

    12960 km/h². 1 m/s² / 97 km/h² = 7.48*10⁻³ m / s²

    g. 2500 g/cm². 1kg / 1000 g = 2.5 kg/cm²

    1 Pa = 1.02kg/cm²

    2.5 kg/cm². 1 Pa / 1.02 kg/cm² = 2.45 Pa

    h. 1 h = 3600 s

    36 km / 3600 s = 0.01 km / s → 0.01 km. 1000 m / 1 km = 10

    = 10 m/s
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