tbeck2327 tbeck2327
  • 08-10-2019
  • Physics
contestada

Hair grows at an average rate of 3 x 10.9 m/s. How long will it take to grow a 10 cm strand?

Respuesta :

mixter17
mixter17 mixter17
  • 13-10-2019

It will take 33,3333,333.33secondsto grow a 10cm (0.1m) strand.

Why?

It's a conversion problem, so, to solve it, we need to make the units consistent.

Let's convert from cm to meters, since the rate of grow is in m/s.

[tex]1m=100cm\\\\10cm*\frac{1m}{100cm}=0.1m[/tex]

Now, calculating we have:

[tex]Grow=rate*time\\\\0.1m=3x10^{-9}\frac{m}{s}*time\\\\time=\frac{0.1m}{3x10^{-9}\frac{m}{s}}=33,3333,333.33seconds[/tex]

Hence, It will take 33,3333,333.33seconds to grow a 10cm (0.1m) strand.

Have a nice day!

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