A force of $300$ N, while actin on an area A, produces a pressure of $1500$ Pa. What is the magnitude of A in $c m^{2}$ ?

1000 c m^{2}

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3000 c m^{2}

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4000 c m^{2}

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2000 c m^{2}

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Solution

The correct option is D $2000 c m^{2}$
$P r e s s u r e = \frac{f o r c e}{a r e a}$
$T h e r e f o r e, a r e a = \frac{f o r c e}{p r e s s u r e}$
$a r e a = \frac{300 N}{1500} P a = 15 s q . m$
$N o w, 1 m = 100 c m .$
$T h e r e f o r e, 100 \times \frac{100}{5} = 2000 s q . c m$

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