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Field observations suggest that a migrating ruby-throated hummingbird can fly across the Gulf of Mexico on a nonstop flight traveling a distance of about 800 km . Assuming that the bird has an average speed of 40.0 km/hr and an average power consumption of 1.70 W , how many grams of fat fat does a ruby-throated hummingbird need to accomplish the nonstop flight across the Gulf of Mexico

Respuesta :

Answer:

3.25 g      

Explanation:

[tex]t =\frac{d}{v} \\t = \frac{800km}{40km/h} =20 h = 72000 s[/tex]

Energy consumption:

[tex]E=P\times t\\E= 1.70 W\times 72000 s =122400 J[/tex]

1 g of fat is roughly equal to 9 calories

1 cal = 4186 J

1 g of fat = 9 x 4186 J = 37674 J

Equating the two

122400 = m x 37674

m = 3.25 g

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