4. A 400 cm 3 block of aluminum of density 2.7 g/cm 3 is lowered carefully into

Question

4.     A 400 cm3 block of aluminum of density 2.7 g/cm3 is lowered carefully into a completely full beaker of water. What is the weight of the water, in newtons ( N), that spills out of the beaker? (5 points)

5.     A cubic meter of copper has a mass of 8730 kg. The block is lowered into a lake by a strong cable until the block is completely submerged. Draw a free-body diagram for the block showing and labeling all the forces that act on the block.

6.     You exert a pressure of 35 N on the head of a thumbtack. The head of the thumbtack has a radius of 10 mm. What is the pressure on your thumb? (Remember the units for pressure and convert accordingly.) (5 points)

7.     Legend says that Archimedes, in determining whether or not the king

Explanation / Answer

4. m/v=2.7 thus,when v=400 then m=1080g=1.08 kg thus weight=mg=1.08*9.8=10.58N 6. p=f/a=35/(3.14*10*10*10^-6)=1.11*10^5 N/m^2 7. volume to be displaced=600/19.3=31.08 cm3

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