Question

A force of 300 N creates a pressure of 4 N/m2. over what area is the force acting?

Answer 1

Explanation:

304/M2is your answer

Hove you nice day

Answer 2

Given :

• Force acting = 300 N
• Pressure = 4 N/m²

To Find :

• The area over which the force is acting

Solution :

The relation between Force , Pressure and area is goven by ,

$\\ \star \: {\boxed{\purple{\sf{P = \dfrac{F}{A}}}}}$

We have ,

• P = 4 N/m²
• F = 4 N

Substituting the values ,

$\\ : \implies \sf \:4 \: Nm {}^{ - 2} = \frac{300 \: N }{A}$

$\\ : \implies \sf \:4 \: Nm {}^{ - 2} \times A = 300 \: N$

$\\ : \implies \sf \: A= \frac{300 \:N }{4 \: Nm {}^{ - 2} }$

$\\ : \implies{\boxed{\sf{\pink{A = 75 \: m {}^{2} }}}} \: \bigstar$

$\\ {\therefore{\underline{\sf{{Hence , \: The \: area \: over \: which \: the \: force \: is \: acting \: is \: \bold{ 75 m {}^{2} }}}}}}$