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If i push an object on the floor and drag it say 2 m in a straight line with force y. then the work done is force times displacement.

that is 2y.

first doubt

which formula is correct one

work = force multiplied by displacement

or

work = force multiplied by distance.

since most websites say ... work = force multiplied by displacement

hence

in my given example both the displacement and distance is the same. so ill get the same answer.

but

now if i push my box in a circle track and bring it back to the starting point . the distance travelled might be say 20 meters

but the displacement will be 0 meters.

so what will be my work done.

according to the above formulas

it can be either

20 y joules

or

0 joules

which is correct .

is it work done or not