suppose there is a small pond near your home. a measuring stick is mounted at th
ID: 1520325 • Letter: S
Question
suppose there is a small pond near your home. a measuring stick is mounted at the end of a pier in order to measure the height of the water. suppose the height of the water is 100cm. you are carrying a large boulder as you step into a small boat tied to the pier. as you step into the boat the water's height rises to 105 cm. without making waves you paddle out to the middle of the pond. while floating there you decide to slowly drop the boulder into the water. initially there are some ripples on the surface of the water, but after a few minutes the water is calm. what is the height of the water now? a) unchanged b)greater than 105 cm c) less than 105 cm but greater than 100cm or d) less than 100cm. Show work and explain.
Explanation / Answer
Archimedes’ Principle states that the volume of the fluid dispalced is equal to volume of the object immresed. The weight of the object is balanced by buoyant force. Boulder is already in the boat before dropped into the pond, thus the volume of water displaced due to presence of it whether in the boat or directly dropped into the water.
Hence, the water level won’t change because the boulder’s weight is already a part of the boat’s total weight. Massis not added it is only moved.
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