Question
A duck is floating on water with 26% of its total volume submerged below the surface. If the duck has a mass of 2.6kg, what is the duck’s total volume? You must show all necessary work, the density of water is 1000kg/m3.
Answers
Elena
Let V be the volume of the duck.
Weight of displaced water = weight of the duck
0.26•V•ρ•g= mg
0.26•V•1000•g =mg
260 V = m
The density of the duck is
ρ= m/V= 260 V/V= 260 kg/m³
V= m/V=2.6/260=0.01 m³
Weight of displaced water = weight of the duck
0.26•V•ρ•g= mg
0.26•V•1000•g =mg
260 V = m
The density of the duck is
ρ= m/V= 260 V/V= 260 kg/m³
V= m/V=2.6/260=0.01 m³