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A 100 kg block is suspended from a string and immersed in water. The block has a

ID: 2217793 • Letter: A

Question

A 100 kg block is suspended from a string and immersed in water. The block has a volume of 0.02 m^3. The water density is 1000 kg/m^3. The top of the block has an area of .6 m^2 and is placed 5.0 cm below the surface of the water.

a) What is the pressure exerted by the water on the top and bottom of the block?

b) What is the force exerted by the water on the top and bottom of the block?

c) What is the buoyant force on the block?

d) What is the tension on the string?

I keep getting different answers from the study guide and Im not sure where Im going wrong. Please leave a detailed explanation. Thank you!

Explanation / Answer

a)top force = 1000*9.81*0.05 = 490.5 bottom force = 1000*9.81*(0.05+(1/30)) = 817.5 b)top force = 1000*9.81*0.05 = 490.5 bottom force = 1000*9.81*(0.05+(1/30)) = 817.5 c)buoyancy force = 1000*9.81*0.02 = 196.2 N d)Tension = 784.8 N

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