Question

Work and work done by constant force.

Answer 1

Hint: In many respects, the scientific concept of work differs from its ordinary connotation. In physics, the definition of work demonstrates its link to energy: anytime work is accomplished, energy is transmitted. A force must always be exerted and displacement must occur in the direction of the applied force for work to be done in a scientific sense.

Complete answer:
The amount of work done is equal to the product of the degree of the displacement and the force component acting in that direction.

The aforementioned statement may be written mathematically as:
$W=(F\cos \theta )d=F.d$, where $W$is the total work done, $F$ is the applied force and $d$ is the displacement in the direction of the force.

Work has the same dimension as energy, and its formula is $\left[M~{L^2}~{T^{–2}}\right]$. The joule (J) is the SI unit of work, defined as the energy required to accelerate an object 1 meter in the direction of a force of 1 Newton. Work is affected by several parameters, including applied force, displacement, and the angle between the direction of force and displacement.

Work performed by a constant force:
Work is defined as the combination of force and distance covered in the direction of the applied force where the force is constant.
For example: Suppose a body is resting on a frictionless surface while a force of constant magnitude 10 N acts on it. Due to the action of forces, the body will cover a distance of 6 metres; thus, the work performed may be calculated as follows:
$W=Fd$
$\Rightarrow W=10\times 6$
$\Rightarrow W=60Joule$

Note: Work done is a fundamental term in physics. We must have a thorough comprehension of the concepts of work done, force, and displacement. As it is the result of product force and displacement in the direction of the applied force.