Question

The pressure between the tyres of a car (a four wheeler) and the road is $150000$ Newton/meter square. What is the area of contact between the tyre and the road if the car has a weight of $15000$ newton.

Answer 1

Hint:The physical force exerted on an item is known as pressure. The force applied per unit area is perpendicular to the surface of the objects. F/A is the basic formula for pressure (Force per unit area). Pascals is the unit of pressure (Pa). This is where the following concept is applied.

Formula used:
${\text{Pressure = }}\dfrac{{{\text{Force}}}}{{{\text{Area}}}}$

Complete step by step answer:
Pressure is defined as the amount of force (push) applied to a surface per unit area. It can alternatively be described as the force-to-area ratio (over which the force is acting). The quantity of pressure is a scalar quantity. It connects the normal force operating on the surface to the vector area element (a vector normal to the surface).

The scalar proportionality constant that connects the two normal vectors is called pressure. At every location, pressure is distributed to solid boundaries or to arbitrary portions of fluid that are parallel to these limits or sections. It is a basic thermodynamic parameter that is conjugate to volume.
${\text{Pressure = }}\dfrac{{{\text{Force}}}}{{{\text{Area}}}}$
Given, Pressure = \[150000{\text{ }}N{m^{ - 2}}\], F = 15000 N and Area = ?
${\text{Pressure = }}\dfrac{{{\text{Force}}}}{{{\text{Area}}}}$
\[\Rightarrow 150000{\text{ }} = {\text{ }}\dfrac{{15000}}{{\left( {area} \right)}}\]
\[\therefore Area{\text{ }} = {\text{ }}\dfrac{{15000}}{{150000}}\,m^2 \]

Hence, the area of contact between the tyre and the road if the car has a weight of $15000$ newton is \[ \dfrac{{15000}}{{150000}}\,m^2\].

Note:Simple substitution is enough to solve the problem. In physics, a force is any contact that, while unopposed, causes an object to change its velocity. An object with mass can change its velocity, or accelerate, as a result of a force. Intuitively, force may be characterised as a push or a pull. A force is a vector quantity since it has both magnitude and direction.