A force of 200N acts on a surface of area 10cm 2 normally, Calculate the pressure exerted on the surface.
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Pressure is defined as Force exerted per unit area.
Here the SI unit of Force is Newton and SI unit for Area is m².
Given values:
- Force = 200 N
- Area = 10 cm²
Since Area is not expressed in the standard unit we must convert it to the standard unit.
We know that, 1 m² = 10⁴ cm². Then, 10 cm² equals ?
⇒ 1 m² : 10⁴ cm² :: x : 10 cm²
Product of Means = Product of extremes
⇒ 10 × 1 = 10⁴ × x
⇒ 10 = 10⁴ x
⇒ x = 10 / 10⁴ = 10⁻³ m²
Hence Area is 10⁻³ m².
Now calculating Pressure we get,
⇒ 200 N / 10⁻³ m²
⇒ 200 × 10³ N/m²
⇒ 2 × 10⁵ N/m² which is 2 × 10⁵ Pa
Hence the pressure exerted is 2 × 10⁵ N/m² or 2 × 10⁵ Pa.
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