A beaker, filled to the very topwith water, weighs 15 N. A 300 g weight is...

A beaker, filled to the very topwith water, weighs 15 N. A 300 g weight is carefully dropped intothe beaker. The water that overflows is wiped away and the beakerreweighed. It weighs 16.9 N. What is the densityof the weight? [Use g=9.8m/s2.] Hint: The netforce on the bottom of the beaker after the weight is lowered tothe bottom is (the weight of the reduced volume of water) + (300 gweight).

Thebeaker is refilled to the top with water and a 100 g piece of woodof density 0.8 that of water is carefully floated on the water.What volume of water overflows?

NOTE: The claim is that melting of Arctic sea-ice, including largeicebergs, does NOT increase sea-level, but that melting ofGreenland or Antarctic glaciers does increasesea-level.

Why areboth claims made in the NOTE correct?

Solutions

Expert Solution

The initially filled beaker weighs 15N. The 300g weight by itself would weigh 0.3 X 9.8=2.94 N hence the combined weight of 15+2.94=17.94N

However the beaker now shows a weight of 16.9N which would mean that 1.04 N or equivalently 106 grams of water would have been displaced. Now we know that 1000 grams of water occupy 1000cc hence 106 grams would occupy 106cc of volume which was the volume of weight dropped in.

Since the mass is 300g, hence the density=mass/volume = 300/106=2.83g/cc

The 100g piece of wood that floats on water would displace an amount of water equal to its weight. Hence 100cc of water would be displaced.

The reason that Artic and Antartica regions do not contribute to rise in water levels is due to the Anomalous Expansion of Water. At temperatures below 4degrees celsius the density of ice is less than that of water and hence floats on top and thus the water levels do not rise.

In the Greenland regions however, the temprature of the ice is greater than 4 degrees with a higher density than water which causes it to sink and thus displace a quantity of water equal to its volume

genius_generous answered 2 months ago

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