In an automobile braking system, the brake pedal pushes on one end of a column of liquid (the brake fluid) in a rigid tube. At the other end of the tube, the liquid presses on a piston attached to a brake shoe that pushes against the brake drum and slows the car's wheels by friction. In one such system, the diameter of the tube at which the brake pedal pushes is \(12.0 \mathrm{~mm}\), the diameter of the piston at the brake drum is \(44.0 \mathrm{~mm}\), and the mass density of the liquid is \(850 \mathrm{~kg} / \mathrm{m}^{3}\). The coefficient of static friction between the brake shoe and the brake drum is 0. 880 , the coefficient of kinetic friction between them is 0. 650 , and the piston and brake shoe push perpendicular to the brake drum. When you push on the brake pedal with a force of \(125 \mathrm{~N}\), what are (a) the magnitude of the normal contact force exerted by the brake shoe on the drum and \((b)\) the magnitude of the frictional contact force exerted by the brake shoe on the drum?