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A solid block in the shape of a cube of length 120 cm rests on a table - Leaving Cert Physics - Question b - 2008

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A solid block in the shape of a cube of length 120 cm rests on a table. The weight of the block is 25 N. Calculate the pressure it exerts on the table. $$ P = \frac{... show full transcript

Worked Solution & Example Answer:A solid block in the shape of a cube of length 120 cm rests on a table - Leaving Cert Physics - Question b - 2008

Step 1

Calculate the area of the cube's face

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Answer

To find the area of one face of the cube, we use the formula for the area of a square:

A=length2A = \text{length}^2

Given the length of the cube is 120 cm, we convert this to meters:

120 cm=1.2 m120 \text{ cm} = 1.2 \text{ m}

Now we can calculate the area:

A=(1.2m)2=1.44m2A = (1.2 \, \text{m})^2 = 1.44 \, \text{m}^2

Step 2

Calculate the pressure exerted by the block

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Answer

Using the formula for pressure, we substitute the known values:

P=FAP = \frac{F}{A}

Where:

  • F=25NF = 25 \, \text{N} (the weight of the block)
  • A=1.44m2A = 1.44 \, \text{m}^2 (the area calculated previously)

Now we can find the pressure:

P=25N1.44m217.36N/m2P = \frac{25 \, \text{N}}{1.44 \, \text{m}^2} \approx 17.36 \, \text{N/m}^2.

Thus, the pressure exerted by the block on the table is approximately 17.36 N/m².

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