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
