Answer: 0.439488 N
Explanation:The apparent weight of the metal is computed as
apparent weight = weight - weight of the displaced fluid
To compute the weight of the metal, we use the following formula:
where
Note that the volume is unknown but we can compute this because the metal is a cube with edge = 2 cm = 0.02 m. So, the volume of the metal is given by
Thus, the weight of the metal is computed as
Next, we compute the displaced weight or buoyancy, which has the following formula
where
Note that the displaced volume is equal to the volume of the submerged metal. Since the metal has a volume of
, the displaced volume is
.
Thus, the weight of the displaced fluid is calculated as
Therefore,
apparent weight of the metal
= weight of the metal - weight of the displaced fluid
= 0.517968 N - 0.07848 N
apparent weight of the metal = 0.439488 N