Answer :
In the air, an object weighs 80 N, and in water, 20 N. If po is the density of water, then (c) 4.00 po is the density of object p.
The density of an object is its mass per unit volume. The mass of an object is its weight divided by the acceleration due to gravity. The volume of an object is the amount of space it occupies.
The density of water is 1000 kg/m³. The weight of the object in air is 80 N. The weight of the object in water is 20 N. The acceleration due to gravity is 9.8 m/s².
The mass of the object is [tex]\begin{equation}\frac{80\text{ N}}{9.8\text{ m}/\text{s}^2} = 8.16\text{ kg}[/tex].
The volume of the object is [tex]\begin{equation}\frac{8.16\text{ kg}}{1000\text{ kg}/\text{m}^3} = 0.00816\text{ m}^3[/tex].
The density of the object is [tex]\begin{equation}\frac{8.16\text{ kg}}{0.00816\text{ m}^3} = 1000\text{ kg}/\text{m}^3[/tex]= 4.00 po. The correct answer is c) 4.00 po.
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