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When a particle moves along a closed curve once, what work is never equal to zero?
It is obviously wrong to write together!

Think about it. If a force pulls a box around the ground from the static state of the origin to the origin, and it is still in the static state, then the resultant work on the box must be equal to zero, because the work done by the resultant force is equal to the change of the mechanical energy of the box, and the mechanical energy of the box has not changed, so the resultant work is zero.

The answer should be non-conservative.

Non-conservative force Any force whose work is related to the path is called non-conservative force. The common friction and impact forces when objects collide with each other are non-conservative forces. The characteristic of non-conservative force is that the work done along any closed path is not equal to zero.

Conservative force is the opposite, and work has nothing to do with path.