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A Fossil evidence has revealed that prehistoric dragonflies could be as much as 10 times the size of the dragonflies existing today (the linear dimensions of the prehistoric draglonfly were 10 times that of existing dragonflies). The modern dragonfly Sympetrum sanguineum has a typical mass of 125 mg. What was the mass of the prehistoric dragonfly?

Respuesta :

AMB000

Answer:

125g

Explanation:

We know that if we increase the linear dimensions of an object by a factor [tex]N[/tex], its sufrace dimensions will increase by a factor [tex]N^2[/tex], and its volumetric dimensions will increase by a factor [tex]N^3[/tex], so if the modern dragonfly has a volume V, the prehistoric one has a volume [tex]N^3V[/tex]. We will assume that the density of both animals are the same, and since the mass is given by the formula [tex]m=\rho V[/tex] this means that the mass of the prehistoric dragonfly is also [tex]N^3[/tex] times bigger than the mass of the modern one, so our answer is 1000*125mg=125000mg=125g.

The mass of the prehistoric dragonfly is 1250 mg.

Mass of the prehistoric dragonfly

The mass of the prehistoric dragonfly can be obtained by using the relationship between the mass of the modern dragonfly and mass of prehistoric dragonfly.

Let the mass of the prehistoric dragonfly = M1

Let the mass of the modern dragonfly = M2

From the given statement, the relationship between M1  and M2 is written as;

M1 = 10 x M2

When M2 = 125 mg

M1 = 10 x 125 mg

M1 = 1250 mg

Thus, the mass of the prehistoric dragonfly is 1250 mg.

Learn more about linear relationship here: https://brainly.com/question/7040405