1. Rank the following in terms of increasing density: A. A100 g object with a vo

Question

1. Rank the following in terms of increasing density: A. A100 g object with a volume of 25 cubic centimeters B. A 200 g object with a volume of 100 cubic centimeters C. A 100 g object with a volume of 100 cubic centimeters D. A 400 g object with a volume of 50 cubic centimeters 2. Rank the following in terms of increasing pressure: A. A 10 kg object distributed on a square surface with dimensions 10 cm by 10 cm B. A 20 kg object distributed on a square surface with dimensions 10 cm by 10 cm C. A 30 kg object distributed on a square surface with dimensions 20 cm by 20 cm D. A 40 kg object distributed on a square surface with dimensions 30 cm by 30 cm

Explanation / Answer

Here ,

as the density is given as

density = mass/volume

pA = 100/25 = 4 gm/cm^3

pB = 200/100 = 2 gm/cm^3

pC = 100/100 = 1 gm/cm^3

pD = 400/50 = 8 gm/cm^3

Hence , the rank of densities is D > A > B > C

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2)

pressure if given as P = force /area

pA = 10/(10 *10) = 0.1 kg/cm^2

pB = 20/(10)^2 = .2 Kg/cm^2

pC = 30/(20)^2 = 0.15 Kg/cm^2

pD = 40/30^2 = 0.044 Kg/cm^2

hence , the rank of pressure is B > C > A > D

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