Physics

14.08.2020 16:03

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A study finds that the metabolic rate of mammals is proportional to m^3/4 , where

A study finds that the metabolic rate of mammals is proportional to m^3/4 , where m is the total body mass. By what factor does the metabolic rate of a 70.0-kg human exceed that of a 4.91-kg cat?

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justiceisbae1

4,4(24 marks)

The mass of human is 2898 times of the mass of cat.

Explanation:

A study finds that the metabolic rate of mammals is proportional to m^3/4 i.e.

$M=\dfrac{km^3}{4}$

Where

k is constant

If m = 70 kg, the mass of human

$M=\dfrac{70^3}{4}\\\\=85750$

If m = 4.91 kg, the mass of cat

$M'=\dfrac{4.91^3}{4}\\\\=29.59$

So,

$\dfrac{M}{M'}=\dfrac{85750}{29.59}\\\\=2897.93\approx 2898$

So, the mass of human is 2898 times of the mass of cat.

364781

4,4(88 marks)

I believe this the answer
Una masa de 800 kg y otra de 500 kg se encuentran separadas por 3m, ¿Cuál es la fuerza de atracción

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