Actual value of normal reaction

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SUMMARY

The discussion centers on the calculation of the normal reaction force acting on a 1 m³ cube block with a mass of 1 kg placed on the floor. The normal force, F, is calculated as F = mg + (Area of top surface x atmospheric pressure), resulting in F = 101009.81 N. The significant value arises from atmospheric pressure, which exerts a considerable force on the block. The concept of buoyancy, although not covered in the syllabus, is acknowledged as a factor that slightly alters the net force acting on the block.

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  • Understanding of Newton's laws of motion
  • Basic knowledge of atmospheric pressure and its effects
  • Familiarity with free body diagrams
  • Concept of buoyancy in fluid mechanics
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Wong Tak
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I am a high school student in Hong Kong studying Physics. I am having some problems about atmospheric pressure. Imagine there is a cube block with volume 1 m3 and top surface area 1 m2 . The cube block is being placed on the floor and it has mass of 1 kg. What is the normal reaction force F acting on the block by the floor?
Considering the free body diagram of the block, there are effectively three forces acting on it . They're the weight , F , and the force based on the atmospheric pressure on the top surface. ( Since the side surface's force canceled out each other , they're neglected) Since net force= 0 , F = mg + Area of top surface x atmospheric pressure= 1x9.81 + 1x101x1000 =101009.81 N. Is it really that large? Or my calculation is wrong? My teacher said that it includes a concept called buoyancy in this situation and it is out of our syllabus. Can anyone explain it to me ? Another alternative question I have is that what is the principle of the pressure balance ? Doesn't it measure the normal reaction force acting on it? I mean even if I didn't step on it , it should still have a large reading , right ? Or is it adjusted ? Thanks
 
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Yes, atmospheric pressure really does exert that great a force on the block. But it is not easy to make an 'air-tight' seal between block and surface, so usually that force is balanced (except for the small buoyant force).
 

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