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How are work, force, and distance related?

Sagot :

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

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 [tex]\theta[/tex] is the angle between force and displacement.

Hence, the component of force along the direction of displacement is [tex]Fcos\theta.[/tex].

The work done by that body is calculated as -

                         Work done W = [tex]Fcos\theta \times S[/tex]

                                                 = [tex]FScos\theta[/tex]

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

Let [tex]\theta=\ 0^{0}[/tex].

Hence, work done W = FScos0

                                   = FS                   [ cos0 = 1]

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

                             Work = force . distance

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