Find the Work Done by the Force Field $\mathbf { F } ( x , y ) = \nabla \left( x ^ { 2 } + y ^ { 2 } \right) ^ { - 1 / 2 }$

question 22

Multiple Choice

Find the work done by the force field $\mathbf { F } ( x , y ) = \nabla \left( x ^ { 2 } + y ^ { 2 } \right) ^ { - 1 / 2 }$ on a particle that moves from the point $( 3,4 )$ to the point $( 0,2 )$ .

• A) \(0\)
• B) \(\frac { 1 } { 10 }\)
• C) \(\frac { 1 } { 5 }\)
• D) \(\frac { 3 } { 10 }\)
• E) \(\frac { 2 } { 5 }\)
• F)\(\frac { 1 } { 2 }\)
• G) \(\frac { 3 } { 5 }\)
• H) \(\frac { 7 } { 10 }\)

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