Consider a stack of six pancakes. Each pancake is made of 1/4 cup (approximately 60 mL) of batter, and the density of batter is 1 g/cm3. Consider the pancake at the bottom of the stack. What is the total weight of pancakes sitting on top of it? Express your answer in kilograms, but without entering the unit. This is not a lot of weight. Assuming that pancakes have an elastic modulus of 20 kPa, that the area of each pancake is identical (approximately 80 ), and that the stack of pancakes has a height of 55mm, compute how much the single pancake at the bottom of the stack is compressed by the weight of the pancakes on top of it. This is a very small compression, so instead you place a 4 kg weight on the pancakes. Now you see that the stack noticeably compresses. Consider the stack of pancakes as one aggregate unit with a surface area of approximately 80 cm2. What is the stress on the pancakes? Express your answer in Pascals, but without including the unit. Your observation of the normal pancakes shows that when the 4kg weight is placed on the pancakes, the height of the pancake stack decreases from its initial value of 55mm to a final value of 40mm. Use these measurements to calculate the elastic modulus of the pancakes. Express your answer in Pascals but without giving the units as part of your answer.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Consider a stack of six pancakes. Each pancake is made of 1/4 cup (approximately 60 mL) of batter, and the density of batter is 1 g/cm3. Consider the pancake at the bottom of the stack. What is the total weight of pancakes sitting on top of it? Express your answer in kilograms, but without entering the unit.

This is not a lot of weight. Assuming that pancakes have an elastic modulus of 20 kPa, that the area of each pancake is identical (approximately 80 ), and that the stack of pancakes has a height of 55mm, compute how much the single pancake at the bottom of the stack is compressed by the weight of the pancakes on top of it.

This is a very small compression, so instead you place a 4 kg weight on the pancakes. Now you see that the stack noticeably compresses. Consider the stack of pancakes as one aggregate unit with a surface area of approximately 80 cm2. What is the stress on the pancakes? Express your answer in Pascals, but without including the unit.

Your observation of the normal pancakes shows that when the 4kg weight is placed on the pancakes, the height of the pancake stack decreases from its initial value of 55mm to a final value of 40mm. Use these measurements to calculate the elastic modulus of the pancakes. Express your answer in Pascals but without giving the units as part of your answer.

Given your measurement of the elastic modulus, what is the distance between the bonds in the normal pancakes? Assume that the interaction energy between the glutenin molecules is 

a) Larger than 1 micron

b) between 100 nm and 1 micron

c) Between 10 nm and 100 nm

d) Between 1 nm and 10 nm

e) Smaller than 1 nm

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Your calculation and explanation are helpful.

Next, Calculate elastic modulus

Your observation of the gluten-free pancakes shows that they are much softer. For that reason you only use a 0.7 kg weight. Now the height of the pancake stack decreases from its initial value of 55 mm to a final value of 46 mm. Use these measurements to calculate the elastic modulus of the pancakes. Express your answer in Pascals but without including the unit.

Next, Calculating distance between bonds

Given your measurement of the elastic modulus, what is the distance between the bonds in the gluten-free pancakes? Assume that the interaction energy between the molecules in the gluten free pancake recipe is  Uint = kBT = 4*10-21J

The cross link distance is
a) larger than 1 micron
b) between 100 nm and 1 micron
c) between 10 nm and 100 nm
d) between 1 nm and 10 nm
e) smaller than 1 nm




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