How are work, force, and distance related?

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 is the angle between force and displacement.

Hence, the component of force along the direction of displacement is .

The work done by that body is calculated as -

                         Work done W =

                                                 =

                                                 =    [ ∵

Let .

Hence, work done W = FScos0

                                   = FS                   [ cos0 = 1]

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

                             Work = force . distance

would be false hope this out