Find the Work Done by the Force Field $\overrightarrow { \mathbf { F } } \text { on a particle moving along the given path. }$

Multiple Choice

Find the work done by the force field $\overrightarrow { \mathbf { F } } \text { on a particle moving along the given path. }$ $\overrightarrow { \mathbf { F } } ( x , y ) = - y \hat { \mathbf { i } } - x \hat { \mathbf { j } } , \quad C : y = \sqrt { 25 - x ^ { 2 } }$ from $( 5,0 )$ to $( - 5,0 )$

A) 0
B) 25
C) $5 \sqrt { 26 }$
D) 5
E) $\sqrt { 26 }$