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Archimedes’ principle can be used not only to determine
Chapter 4, Problem 31P(choose chapter or problem)
(II) Archimedes' principle can be used not only to determine the specific gravity of a solid using a known liquid (Example 10-8); the reverse can be done as well.
(a) As an example, a \(3.40-\mathrm{kg}\) aluminum ball has an apparent mass of \(2.10 \mathrm{~kg}\) when submerged in a particular liquid: calculate the density of the liquid.
(b) Derive a formula for determining the density of a liquid using this procedure.
Questions & Answers
QUESTION:
(II) Archimedes' principle can be used not only to determine the specific gravity of a solid using a known liquid (Example 10-8); the reverse can be done as well.
(a) As an example, a \(3.40-\mathrm{kg}\) aluminum ball has an apparent mass of \(2.10 \mathrm{~kg}\) when submerged in a particular liquid: calculate the density of the liquid.
(b) Derive a formula for determining the density of a liquid using this procedure.
ANSWER:ANSWER:STEP 1:-The spring constant of the spring is, K = 250 N/m.The mass of the cart is 10 kg.The displacement of the spring is 60 cm = 0.6 m.We know that, every ideal spring obeys Hooke’s law and the potential energy of the springaccording to the law is, P.E = 1/2 Kx = 1/2 × 250 × 0.6 = 45jules.STEP 2:-Now let’s use the