On the work done on a frictionless surface

[aditya ver.2.0]

Work done = force applied * displacement

So if I exert N₁ force on a mass placed over a friction less floor, then the displacement = ∞.
Then won't the work done = ∞.
How is possible?

 

[Orodruin]

In which direction are you applying the force and for how long?

If you apply the force parallel to the floor, then you will accelerate the mass and the work you perform with that force will turn into kinetic energy of the mass. If you apply the force normal to the floor, the normal force of the floor will cancel the force and there will be no movement and hence no work done.

 

[A.T.]

Then won't the work done = ∞.

Only if you apply the force over an infinite distance.

How is possible?

It isn't.