How Does Immersion Affect Spring Scale Readings?

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The discussion focuses on the forces acting on a submerged metal block and how they affect spring scale readings. The top of the block experiences a force of approximately 1.0181 kN, while the bottom experiences a force of about 1.0299 kN due to water pressure. The difference in these forces is crucial for determining the reading on the spring scale. The block displaces water equal to its volume, which is vital for calculating the buoyant force. The conversation emphasizes understanding the relationship between buoyancy and scale readings in fluid mechanics.
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A 10.5 kg block of metal measuring 12 cm 10 cm 10 cm is suspended from a scale and immersed in water. The 12.0 cm dimension is vertical and the top of the block is 5.25 cm below the surface of the water.
(a) What are the forces acting on the top and on the bottom of the block? (Use P0 = 1.0130 105 N/m2.)
(b) What is the reading of the spring scale?

ATTEMPT AT SOLUTION
(a) The forces acting on the top of the block is:
(0.1m)*(0.1m)*(P0+1000*9.8*0.0525 N/m^2)
= (1.0130e3+5.1)N = 1.0181e3 N
and on the bottom of the block is:
(0.1m)*(0.1m)*(P0+1000*9.8*0.1725 N/m^2)
= (1.0130e3+16.9)N = 1.0299e3 N

(b) I'm stuck on this one
 
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(b) The block displaces the mass of the water that would have taken that space. Start there.
 

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