The density of an animal is conveniently obtained by weighing it first in air and then immersed in a fluid. Let the weight in air and in the fluid be respectively W1 and W2. If the density of the fluid is p1, the average density p2 of the animal is W1 P2 =P1 W1 – W2 Derive this relationship.

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please solve problem 7.7 step by step and explain it to me. Thank you!

**7-7.** The density of an animal is conveniently obtained by weighing it first in air and then immersed in a fluid. Let the weight in air and in the fluid be respectively \(W_1\) and \(W_2\). If the density of the fluid is \(\rho_1\), the average density \(\rho_2\) of the animal is

\[
\rho_2 = \rho_1 \frac{W_1}{W_1 - W_2}
\]

Derive this relationship.
Transcribed Image Text:**7-7.** The density of an animal is conveniently obtained by weighing it first in air and then immersed in a fluid. Let the weight in air and in the fluid be respectively \(W_1\) and \(W_2\). If the density of the fluid is \(\rho_1\), the average density \(\rho_2\) of the animal is \[ \rho_2 = \rho_1 \frac{W_1}{W_1 - W_2} \] Derive this relationship.
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