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
