Question

A force of 250N,while acting on an area X produces a pressure of 1000 Pa.Calculate the magnitude of X in cm square. ​

Answer 1

Answer:2500cm^2

Explanation:force=250N

Pressure = 1000 Pa that is equals to 1000Nm-2

Area=Force/area

250/1000m^2

As we have to cover into centimetre so x 100 x 100

Now (2500 x 100 x 100)/1000cm^2

=2500cm^2

Answer 2

Given:

Force (F) = 250N

Pressure (P) = 1000 Pa

To Find:

Area (X) in cm.

Solution:

Pressure refers to the physical force that is applied perpendicularly on the surface of an object (per unit area).

This can be summarised by the formula :

$Pressure = \frac{force}{area}$

In this question, we are asked to find the area (in cm) of an object on which;

250 N of force is applied and the pressure experienced is 1000Pa.

1. Area (X) can be found by making Area the subject in the above equation
2. Inserting the given values of the remaining quantities.

• Firstly,

$Pressure = \frac{force}{area}$

$Pressure * area = force$

$area = \frac{force}{pressure}$

• Now insert the values into the new equation;

Given,

Force (F) = 250N

Pressure (P) = 1000 Pa

Area (a) = X

(every quantity is si unit, no need for conversion)

$X= \frac{250}{1000}$

$X = 0.25 m^{2}$

The area of the square is 0.25 m².

• However we desire the area to be in cm² for the final answer,

       thus use the conversion :

$1 m^{2}$ ⇔ $10000 cm^{2}$

$0.25m^{2}$ ⇔ X

X = $\frac{10000cm^{2} * 0.25m^{2} }{1m^{2} }$

X = 2500 cm²

Hence, the magnitude of X in cm² is 2500 cm²