An archer pulls her bowstring back $0\mathrm{.}380$ m by exerting a force that increases uniformly from zero to $285$ N $.$

$($a$)$ What is the equivalent spring constant of the bow?

Your response differs from the correct answer by more than $10\%.$ Double check your calculations. N$/$m

$($b$)$ How much work is done in pulling the bow?

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