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# How can displacement of a particle is independent of the path taken?

Updated: 9/24/2023

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Q: How can displacement of a particle is independent of the path taken?
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### Is displacement or distance independent of path?

Displacement and overall distance are but the distance travelled does depend on the path.

### Does displacement of a particle depend on the actual path along which the particle move between two points?

No. Displacement is just the final location minus the initial location, regardless of the path.

### Are distance and displacement the same?

distance travel led by a particle in a given interval of time is known as displacement. displacement=distance traveled by time taken.Displacement may be zero. it is path length which a particle travels.distance should not be zero.

### Does displacements of a particle depend on the actual path along which the particle moves between two points?

No. Displacement is just the final location minus the initial location, regardless of the path.

Zero.

### The shortest path from a starting point to an endpoint regardless of the path taken is called the .?

resultant displacement

### The shortest path from a starting point to an endpoint regardless of the path taken is called the?

resultant displacement

### What force is not path-dependent and does not change the overall mechanical energy of an object?

A conservative force is not path dependent. A conservative force is a force with the property that the work done in moving a particle between two points is independent of the taken path.

### What is the difference between the total path taken and the straight line connecting the sarting and last points of the path?

Total path is distance Where as the straight line is the displacement In case of a body going aroung a circle completing one full round, the distance is 2piR But the displacement is ZERO There by distance is a scalar and so it does not have direction But displacement is a vector. Because of vector addition we get displacement in this case as ZERO

### Is coulomb law conservative forces?

Yes, Coulomb's law is an example of a conservative force. A conservative force is one in which the energy required to move a particle (subject to this force) from one point in space to another is independent of the path taken.

Allways...

### Is the distance traveled a state function or path function?

Its a path function......but DISPLACEMENT is a state function.Distance depends on the path we followed from one state to another but displacement is a straight distance so it depends upon the states.