Question

calculate pressure when a force of 5N is applied on an area of 5cm

Answer 1

Pressure can be defined as force per unit area.Its SI Unit is Pascal or N/m square
Given,
Force. =. 5N
Area. = 5cm =5/100m=0.05m
Pressure = ?
Pressure = Force / Area
= (5/0.05)N/m
= 100 N/m
or
= 100 Pascal = 100 Pa


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Answer 2

Concept

Pressure

• The pressure is defined over an area over which the force acts.

• To define it, the normal force acting over a surface needs to be known and the area of the surface over which it acts.

• It is defined as the normal force acting per unit area of the surface.

Given

• The force applied on the surface is 5N. Assume it to be applied perpendicular to the surface.

• The area of the surface is 5cm².

Find

The pressure on the surface due to the applied force

Solution

Convert are in the unit m²

Convert the given area in m². The reason is to obtain the pressure in the standard unit. The SI unit of the pressure is pascal, which is N/m². We can see in the SI unit the force is newton(N), and the area is in m².

      5cm² = 5 × (1 cm)².

      1cm = (1/100)m. So, the above equation becomes

      5cm² = 5 × (1/100 m)² = (5/100)m²

⇒   5cm² = (1/20)m².

The pressure

pressure = normal force acting on the surface / the area of the surface.

Calculate the pressure

Put the value of force and are in the formula of the pressure

      pressure = 5N / (1/20 m²) = 5 × 20 N/m²

⇒   pressure = 100N/m².

The required pressure over the surface is 100N/m².

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