2 ptAn object weighs 71.7 N in air. When it is suspended from a force scale and

Question

2 ptAn object weighs 71.7 N in air. When it is suspended from a force scale and completely immersed in water the scale reads 18.6 N. Determine the density of the object. (in kg/m 3) 12. AO 1.35 × 103 BO 1.96 × 103 CO 2.84 × 103 DO 4.12 × 103 GO 1.25 × 104 EO 5.97 × 103 HO 1.82× 104 FO 8.65 × 10 2 pt When the object is immersed in oil, the force scale reads 37.0 N. Calculate the density of the oil. (in kg/m 3) 13, AO 3.14 × 102 BO 3.55 × 102 CO 4.01 × 102 DO 453 × 102 GO 6.53 × 102 EO 5.12 × 102 HO 738 × 102 FO 5.78 × 102

Explanation / Answer

12)

let the density of object is p

let the volume of object is V

as p * V * g = 71.7

V = 71.7/(p * g)

for the buyoant force

V * density of water * g = 71.7 - 18.6

71.7/(p) * 1000 = 53.1

solving for p

p = 1350 Kg/m^3

the density of object is 1350 Kg/m^3

13)

for the density of oil

71.7/1350 * poil = 71.7 - 37

poil = 653 Kg/m^3

the density of oil is 653 Kg/m^3

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