Find the Work Done by the Force Field $\mathbf { F } ( x , y ) = - \frac { y } { x ^ { 2 } + y ^ { 2 } } \mathbf { i } + \frac { x } { x ^ { 2 } + y ^ { 2 } } \mathbf { j }$

question 144

Short Answer

Find the work done by the force field $\mathbf { F } ( x , y ) = - \frac { y } { x ^ { 2 } + y ^ { 2 } } \mathbf { i } + \frac { x } { x ^ { 2 } + y ^ { 2 } } \mathbf { j }$ on a particle that moves along the quarter-circle $C$ given in the figure below.

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Definitions:

Ego

In psychoanalytic theory, the part of the mind that mediates between the conscious and the unconscious, responsible for reality testing and a sense of personal identity.

Id's Desires

Refers to the component of Sigmund Freud's personality theory containing the primitive and instinctive behaviors and urges.

Defense Mechanism

Unconscious psychological mechanisms that reduce anxiety arising from unacceptable or potentially harmful stimuli.

Sublimation

Channeling socially unacceptable impulses and urges into socially acceptable behavior.