#1
The volume of lead measures 100 cm^3
with a density of lead at 11.34 g/cm^3
. Thus, the mass of the lead block equals density multiplied by volume
Therefore, its weight in air is noted as
Next, the buoyant force acting on the lead is defined as
We know that
After solving, we find
V = 11.22 cm^3
(ii) This corresponding volume of water exerts the same weight as the buoyant force, resulting in 0.11 N
(iii) The buoyant force measures 0.11 N
(iv) The lead block sinks in water due to its density being greater than that of water.
#2
The buoyant force acting on the lead block counterbalances its weight
(ii) This volume of mercury corresponds to the buoyant force weight, confirming that the block floats within mercury, resulting in 11.11 N as its weight.
(iii) The buoyant force is recorded as 11.11 N
(iv) Given that lead's density is less than mercury's, the lead will float in the mercury medium.
#3
Indeed, an object that has lesser density than a liquid will float; otherwise, it will sink in the liquid.