A 10 cm3 block of paraffin (a type of wax) weighs 0. 085 N. It is carefully submerged in a container of gasoline. One cm3 of gasoline weighs 0.0069 N.
a. What is the weight of the gasoline displaced by the paraffin?
b. Will the block of paraffin sink or float in the gasoline?

Respuesta :

a) 
Since the block of paraffin is 10 cm³, hence the volume of gasoline that would be displaced when it is submerged in it would still be 10 cm³.
 
Volume of gasoline displaced = 10 cm³

Weight of gasoline displaced :  = Weight of the 10 cm³ of gasoline.

1 cm³  of gasoline weighs 0.0069 N.

10 cm³ will weigh:          0.0069 * 10 = 0.069 N.


b) The condition for sinking is that the weight, W must be greater than the Upthrust, U.
           W > U

For floatation, the weight, W must be equal to the upthrust, U
             W = U
The weight of block = 0.085 N. Upthrust = weight of fluid = 0.069 N

  0.085 > 0.069

So it will sink and not float in the gasoline.