A body of weight , experiences an upthrust in water. What will be the apparent weight of the body and the apparent density of the body when ?
Step 1. Given data:
Weight of the body =
Upward thrust =
Given condition, Weight of the body = upward thrust
Archimedes's principle:
Step 2. Formula used:
The apparent weight of the body on a fluid is given by,
…………
Where, =the weight of the body
- buoyancy force or upward thrust force,
Step 3. Calculations:
Here, weight of the body ,
Upthrust force,
Condition is
Substituting all the given values in ,
…………..
Now as per given condition, , Substituting the given condition in
Therefore, the value of the apparent weight of the body is zero.
If the apparent weight of the body becomes zero, the apparent density of the body automatically also becomes zero.
Hence the apparent weight of the body and the apparent density of the body in this condition is zero.