Question

How do you solve the work formula for displacement?

Answer 1

Hint: It is stated in the question to solve the work formula for displacement. We have to then find the work formula. Then by dividing it with the force variable we will find the way to find displacement from the work formula.

Complete step by step solution:
We have to find the displacement from the work formula.
Work in physics is defined as the measure of transfer of energy which takes place when an object is subjected to a force to move a distance from its initial position.
If the force is constant then the work is the product of the force that acts on it to the displacement of the particle.
When there is a variable force then work is the product of the cosine component of the force to the displacement covered.
In mathematical form work $W$ can be expressed as,
$W = F.d\cos \theta $
The variables are defined as,
$W = $ Work done by the particle or object or body
$F = $ Force that acts on the particle or object or body
$d = $ displacement of the particle or object or body
$\theta = $ angle to which the force acts on the particle or object or body
Work formula is generally defined as the product of force and displacement of a particle.
It is represented as,
$W = F \times d - - - - \left( 1 \right)$
Dividing equation $\left( 1 \right)$ by F we get,
$d = \dfrac{W}{F}$
Hence, this is the way to solve displacement from the work formula.

Note:
It must be noted that we have considered the whole process for scalar quantity. Since, we are given the question to solve the displacement. Work formula is defined as the product of force and displacement of a particle.