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) $\frac { 7 } { 10 }$

Question

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) $\frac { 7 } { 10 }$

Quizplus · Accepted Answer

The Answer of 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) $\frac { 7 } { 10 }$

Find the Work Done by the Force Field F(x,y)=∇(x2+y2)−1/2\mathbf { F } ( x , y ) = \nabla \left( x ^ { 2 } + y ^ { 2 } \right) ^ { - 1 / 2 }F(x,y)=∇(x2+y2)−1/2

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