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3. The doctor notices that Janet has long fingernails, and comments that fingernails grow at a rate (or
speed) of 2.50 cm / year. Convert this speed to kilometers / second. Show your work. (6 pts)

Respuesta :

dsdrajlin

Answer:

7.93 × 10⁻¹³ km/s

Explanation:

Step 1: Given data

Rate of growth of the fingernails (r): 2.50 cm/year

Step 2: Convert "r" from cm/year to km/year

We will use the following conversion factors.

  • 1 m = 100 cm
  • 1 km = 1000 m

[tex]\frac{2.50cm}{year} \times \frac{1m}{100cm} \times \frac{1km}{1000m} = 2.50 \times 10^{-5} km/year[/tex]

Step 3: Convert "r" from km/year to km/s

We will use the following conversion factors.

  • 1 year = 365 day
  • 1 day = 24 h
  • 1 h = 60 min
  • 1 min = 60 s

[tex]\frac{2.50 \times 10^{-5} km}{year} \times \frac{1year}{365day} \times \frac{1day}{24h} \times \frac{1h}{60min} \times \frac{1min}{60s} = 7.93 \times 10^{-13} km/s[/tex]

2.50 cm/year is equal to 7.93 × 10⁻¹³ kilometers/second.