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A force of [[1]] N is applied on a square of side $5 mm$ to produce a pressure of $1000000 pascal .$

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Detailed Solution

The force which should be applied on a square of side

5 mm

to produce a pressure of

1000000 Pa

is equal to

25 N

.
Pressure is defined as the force per unit area.
Given that, Surface area,

A = 25 mm ²

Pressure,

P = 1000000 Pa

The formula of pressure is,

Pressure = \frac{Force}{Area}

Converting the surface area into SI units,

\Rightarrow A = 25 m m^{2}

\Rightarrow A = 25 \times 10^{- 6} m^{2}

Calculating the force by substituting the values in the above equation,

\Rightarrow 1000000 = \frac{F}{25 \times 10^{- 6}}

\Rightarrow F = 10^{6} \times {25 \times 10}^{- 6} N

\Rightarrow F = 25 N

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