Answer:
(a) F = 18.99 N
(b) F = 23.96 N
(c) F = 258.56 N
Step-by-step explanation:
First we need to find the volume of the block:
Volume of Block = V = (Length)(Width)(Height)
V = (10.5 cm)(12.3 cm)(15 cm)
V = (0.105 m)(0.123 m)(0.15 m)
V = 0.00194 m³
Now, the buoyant force i given by the formula:
F = (Density of Fluid)(V)(g)
(a)
F = (Density of Water)(V)(g)
F = (1000 kg/m³)(0.00194 m³)(9.8 m/s²)
F = 18.99 N
(b)
F = (Density of Glycerine)(V)(g)
F = (1260 kg/m³)(0.00194 m³)(9.8 m/s²)
F = 23.96 N
(c)
F = (Density of Mercury)(V)(g)
F = (13600 kg/m³)(0.00194 m³)(9.8 m/s²)
F = 258.56 N