]a wind turbine blade in the shape of an ellipse is attached to a pedestal at the ellipse’s center. the semi-major axis of the ellipse is required to be 100 meters. when the wind hits the blade the pressure exerted on the blade is given by p(x, y) = k 2 |x| n/m2 (k is a positive constant that depends on the wind speed and air density). to maintain the structural integrity of the turbine and pedestal system, it has been determined that the maximum total force on the blade cannot exceed 108 n. how large can the semi-minor axis of the blade be to prevent destruction of the turbine? (hint: pressure can be thought of as "force density" - note the units)