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 161

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 circle C: $x = \cos t , y = \sin t , 0 \leq t \leq 2 \pi$ .

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Definitions:

Punishment

An unpleasant consequence given to reduce the occurrence of a particular behavior.

Stimulus Response Bond

The connection formed between a specific stimulus and a specific response through conditioning.

Matching Law

A principle in behavioral psychology stating that the proportion of responses directed toward an option matches the proportion of reinforcements obtained from that option.

Contend

To strive in opposition or against difficulties; to compete or argue.