The densities of the cannonball and the unknown liquid are 3.54kg/m³ and 2.686 kg/m³.
When an object is fully or partially submerged in liquid, the vertical upward thrust is acting on the object, this force is called the buoyant force.
Salt Water exerts a buoyant force to the cannon ball = 124−89 = 35N, which equals the weight of water displaced.
The mass of water displaced is
W/g =35/10 =3.5 kg.
Since the density of salt water is 1kg/L, the volume displaced is 3.5L.
Therefore the density of the cannon ball is
=(124/10) /3.5 =3.54kg/L = 3.54kg/m³
The unknown liquid exerts a buoyant force of 124−30=94 N.
The density of this liquid is (94/10) /( 3.5 )=2.686 kg/liter = 2.686 kg/m³
Thus, the densities of the cannonball and the unknown liquid are 3.54kg/m³ and 2.686 kg/m³.
Learn more about buoyant force.
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