Concept explainers
A circus elephant weighing 18,800 N is taken on board a barge of length 6.2 m and breadth 3.0 m, which floats in a river. Show that the barge sinks 10 cm when the elephant gets on board.
To show: Barge will sink at a depth of 10 cm when the elephant gets on board.
Explanation of Solution
Given:
Weight of elephant,
Barge length is 6.2 m and breadth is 3 m.
Formula Used:
The density is given as,
Where
Calculation:
To support the additional weight of elephant, the volume of water displaced is,
Taking
On substituting the values in above equation,
Now, this volume will be equal to the volume of the barge.
So,
Conclusion:
Hence, it is proved that the barge sinks 10 cm when the elephant gets on board.
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