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Mice21 [21]
4 years ago
12

10 POINTS!!! Determine the pressure of your book in pascals (Pa). Show your work! (the pressure of the book in psi is 0.03 psi)

Also the weight of the book is 3 lbs
HInt: 1 Pa = 1 N/m^2 Weight (force) = ma 1 kg = 2.2 lbs 1 inch = 2.54 cm 1m = 100 cm
Physics
1 answer:
Musya8 [376]4 years ago
7 0

You've listed a lot of data here, in both metric and customary units,
and I'm not even sure it's all needed.  Let me try and boil it down:

Pressure on a surface =
               (total force on a surface)
divided by (area of the surface).

The answer to the question is the pressure expressed in pascals. 
There's actually enough information here to answer the question
in 2 different ways.  We could ...

-- simply convert (0.03 pound per inch²) to pascals, or
-- go through the whole calculation of force, area, and then their quotient. 

To me, converting 0.03 psi to Pa looks easier.

-- 1 pascal = 1 newton / 1 meter²

-- On Earth, 1 kilogram of mass weighs 9.8 Newtons and 2.2 pounds.
From this, we can calculate that

                    2.2 pounds of force = 9.8 newtons of force.

                     1 pound = 4.45 newtons

(0.03 pound/inch²) x (4.45 newton/pound) x (1inch/2.54cm)² x (100cm/1m)² =

 (0.03 x 4.45 x 1² x 100²) / (2.54² x 1²)    newton/meter²  =  206.9 Pa .

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