Question

How are work, force, and distance related?

Answer 1

They are directly related because work is the amount of force x the distance so without any of this two u cnt get work

Answer 2

The correct answer of this question is: Work = Force . Distance

EXPLANATION:

The work is said to be done by a body if the force applied on the body has a component along the direction of displacement.

Let us consider a body of mass m.

The body is acted upon by a constant force F . Due to this force, the body undergoes a displacement of S .

Let $\theta$ is the angle between force and displacement.

Hence, the component of force along the direction of displacement is $Fcos\theta.$.

The work done by that body is calculated as -

                         Work done W = $Fcos\theta \times S$

                                                 = $FScos\theta$

                                                 = $\vec F.\vec S$    [ ∵ $\vec A.\vec B=\ ABcos\theta\ ]$

Let $\theta=\ 0^{0}$.

Hence, work done W = FScos0

                                   = FS                   [ cos0 = 1]

Hence, the relation between work, force and distance can be written as -

                             Work = force . distance