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

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) $\frac { 7 } { 10 }$

Correct Answer:

Verified

Unlock this answer now
Get Access to more Verified Answers free of charge

Access For Free