Question #11327
1 Answer
Let the mass of the boat floating in the tank be
and it carries total
Hence total mass of boat + ball =
So by the condition of floatation we can say that initially the mass of displaced water will be
So initially the volume of water displaced will be
When
At this stage the volume of water displaced by the floating boat carrying
The volume water displaced by
Hence the total volume of water displaced in the 2nd case will be
Now subtracting [2] from [1] we get
Now density of steel
So
Hence from relation [3] an [4] we get
This Eq[5] reveals that the difference (decrease) in volume of displaced water continuously increases with the increase in number of steel balls
This means that the level of water in the tank will gradually fall with increase number of balls