Four identical pallets of bricks, each with a mass of 40 kg with a square cross-sectional area of 0.50 m2, are stacked on the floor. What is the change in height of the pallet at the bottom of the stack if the pallets are 5.0 m tall when not stacked

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Answer:

Explanation:

Modulus of elasticity of brick, Y = 28 x 10^9 Pa

mass of each, m = 40 kg

Area of each, A = 0.5 m²

number of bricks, n = 4

height, h = 5 m

Let the change in height is Δh.

Use the formula of Modulus of elasticity

E = stress/ strain

stress = n x m x g/A = 4 x 40 x 9.8 / 0.5 = 3136 Pa

So,

[tex]3136 = 28 \times 10^{9}\times \frac{\Delta h}{5}[/tex]

Δh = 5.6 x 10^-7 m

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