Question

Over what area should a force of $100\,N$ act to produce a pressure of $500\,pascal?$

Answer 1

Hint:In order to solve this question, we should know about force which is the agent which causes the change in inertia of a body from either rest to motion or brings a moving body in to rest and here, we will discuss the basic definition of pressure and then we will calculate the area which is required to produce a pressure of $500\,pascal$ from a force of $100\,N$.

Complete step by step answer:
According to the definition of pressure in physics, Pressure is defined as the force acting on an object per unit of area. For example, when we apply some force at some area of an object like a table, or wall then that force divided by the area of contact of the force is known as the pressure acting on the object.

According to the question, we have given that a force is applied with magnitude of $F = 100N$ and it produces a pressure of magnitude $P = 500Pascal$ and let suppose area required to produce such pressure be A then by pressure formula we have,
$P = \dfrac{F}{A}$
where $P, F, A$ are the pressure, Force, area quantities.
on putting the values we get,
$500 = \dfrac{{100}}{A}$
$\therefore A = 0.2\,{m^2}$

Hence, the area required to produce such pressure is $A = 0.2\,{m^2}$.

Note:It should be remembered that, one Pascal is defined as the force of one newton acting on the surface area of one metre square and written as $1\,Pascal = 1\,N{m^{ - 2}}$ The concept that pressure is inversely proportional to the surface area is widely used in daily life materials such as the area of the knife is made sharp and small which enables the knife to produce larger pressure to cut through materials.