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

Step-by-step 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 * 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