Interactive Solution 11.13 presents a model for solving this problem. A solid co

Question

Interactive Solution 11.13 presents a model for solving this problem. A solid concrete block weighs 110 N and is resting on the ground. Its dimensions are 0.400 m x 0.160 m x 0.130 m. A number of identical blocks are stacked on top of this one. What is the smallest number of whole bricks (including the one on the ground) that can be stacked so that their weight creates a pressure of at least two atmospheres on the ground beneath the first block? (Hint: First decide which face of the brick is in contact with the ground.)

Explanation / Answer

Here ,

for the smallest number of blocks

we should keep the smallest cross sectional area on the ground

area = 0.16 * 0.13 m^2

Now , let the number of blocks is N

pressure = force /area

2 *1.01 *10^5 = N * 110/(0.16 * 0.13)

solving for N

N = 38.2 = 39

the smallest number of the blocks that should be stacked is 39

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