Calculating Pressure for Stacked Books on Glass Coffee Table

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SUMMARY

The discussion focuses on calculating the pressure exerted by a stack of books on a glass coffee table. Given the mass of the books at 11.20 kg, the dimensions of the stack (length: 27.94 cm, width: 20.32 cm, height: 30.12 cm), the pressure is determined using the formula Pressure = Force / Area. The force is derived from the weight of the books, calculated as mass multiplied by the acceleration due to gravity (9.81 m/s²). The area is calculated using the length and width of the stack, leading to the conclusion that the pressure the table must withstand can be accurately computed.

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  • Understanding of basic physics concepts, specifically pressure calculations.
  • Knowledge of the formula for calculating force (Weight = Mass x Gravity).
  • Ability to calculate area from dimensions (Area = Length x Width).
  • Familiarity with units of measurement, particularly in the metric system.
NEXT STEPS
  • Learn about the relationship between mass, weight, and gravitational force.
  • Study the concept of pressure in fluid mechanics and solid mechanics.
  • Explore real-world applications of pressure calculations in structural engineering.
  • Investigate safety factors in furniture design and material strength.
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Students in physics or engineering, furniture designers, and anyone interested in understanding the mechanics of pressure and weight distribution on surfaces.

SamTsui86
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1. [1pt]


A student has a glass coffee table in their dorm room that they want to stack some of their books on. However they are a little worried about how much pressure the table can withstand at anyone point.

If the pile of books has a mass of 11.20 kg, a length of 27.94 cm, a width of 20.32 cm, and
a height of 30.12 cm, how much pressure (N/m2) must the table be able to withstand at any place
where the books are placed ?


Enter a numerical answer only, do not enter units.

This question is confusing, I know that Pressure = force / area. I don't think a formula that can relate the variables above with formula. Plz help
 
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You are able to calculate area, and you know the mass. Since the force of the books will be the result of gravity, you have all the information needed to answer this question.
 
oh I see, i got the answer, thank you. I got confuse because i thought i have to use height too
 

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