Question

An object moving in the xy-plane is subjected to the force F = 2xy i +...

An object moving in the xy-plane is subjected to the force F = 2xy i + 3y j N, where x and y are in m.

a. The particle moves from the origin to the point with coordinates (a, b) by moving first along the x-axis to (a, 0), then parallel to the y-axis. How much work does the force do?

b. The particle moves from the origin to the point with coordinates (a, b) by moving first along the y-axis to (0, b), then parallel to the x-axis. How much work does the force do?

c. Is this a conservative force?

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Answer #1

c) As we have seen in the above answer that we need to perform a different amount of work to reach the same point along different paths.

If work done is path-dependent then the force associated with it is not conservative, hence the given force is not conservative.

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