Use Green's Theorem to Calculate the Work Done by the Force

question 10

Multiple Choice

Use Green's Theorem to calculate the work done by the force $\overrightarrow { \mathbf { F } } \text { on a particle that is }$ moving counterclockwise around the closed path C.
$\begin{array} { l } \overrightarrow { \mathbf { F } } ( x , y ) = 5 x y \hat { \mathbf { i } } + ( x + y ) \hat { \mathbf { j } } \\C : x ^ { 2 } + y ^ { 2 } = 16\end{array}$

• A) \(17 \pi\)
• B) 0
• C) \(16 \pi\)
• D) \(3 \pi\)
• E) \(15 \pi\)

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