A glass beaker, filled to the brim with water, is resting on a scale. A block is
ID: 2017624 • Letter: A
Question
A glass beaker, filled to the brim with water, is resting on a scale. A block is placed in the water, causing some of it to spill over. The water that spills is wiped away, and the beaker is still filled to the brim. How do the initial and final readings on the scale compare if the block is made from the following materials?(a) wood
-initial reading is greater than the final reading
-initial reading is lesser than the final reading
-initial reading is equal to the final reading
Explain your answer, using data from Table 11.1 and Archimedes' principle.
(b) iron
-initial reading is greater than the final reading
-initial reading is lesser than the final reading
-initial reading is equal to the final reading
Explain your answer, using data from Table 11.1 and Archimedes' principle.
Explanation / Answer
(a)
The density of the wood is less as compared to that of the water. As a result, the wooden block will float when placed in the water. When the wooden block is placed in the water, the buoyant force at the bottom force of the block will be equal to the weight of the water displaced by the block. The overall contents of the block in this case remains same as a result the scale readings remain unaltered.
Hence, The initial reading of the block will remain same as that of the final readings.
(b)
The density of iron is greater than that of the water, as a result it will sink to the bottom of the glass beaker. The volume of water that spills out will be same as the volume of water displaced by the block. The mass of the water that spills out is calculated as
m(water) = (density of water)*(volume)
The mass of the block, that occupies the volume is given as,
m(block) = (density of block)*(volume)
since, density of block is greater than the density of water, hence the mass of block will also be greater than that of water, which now occupies the volume earlier occupied by water.
Hence, the final reading will be higher than initial reading.
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