Question

A box has a base area of 1.9 m2.
The box is placed on the ground and exerts a force of 4.7 kN.
What pressure is the force applied with?
Give your answer in kN/m2 and rounded to 2 dp.

Answer 1

Given

• Area of a box is 1.9 m²
• The box exerted a force of 4.7 kN

To Find

• The pressure applied by the force?

Solution

⨳ Pressure is equal to the quotient of force and area

⨳ SI UNIT of pressure is Pascal(Pa), 1 Pa = 1N/m².

⨳ Dimension : |M¹L⁻¹T⁻²|

⨳ There are three types of pressure, namely,

1. Atmospheric Pressure
2. Gauge Pressure
3. Absolute Pressure

Formula :-

›› Pressure = Force/Area

Substituting the values,

➝ Pressure = 4.7/1.9 kN/m²

➝ Pressure = {4.7×10}/{1.9×10}

➝ Pressure = 47/19

➝ Pressure = 2.48 kN/m²

∴ The Pressure is 2.48 kN/m² for the applied force

Let's try to understand

• So here we saw that the formula for Pressure is Force/Area this is because pressure is defined as the force with which it applies on an area that is say if you're keeping your hand on a table then the area that you hand covers will have a force applied on it which is the pressure
• More the area less will be the pressure and lesser the are more is the pressure lesser will be the pressure

━━━━━━━━━━━━━━━━