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)

Explanation / Answer

weight=mg-rho*v*g

=400*2.7*10^-3*9.8-1000*9.8*0.4*10^-3

=6.664 N

5)upward tension and buyoant force

downwards: weight

6)pressure=F/A

=35/(pi*10*10*10^-6)

=1.11*10^5 Pa

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