The plate, bounded by the parabola y = x² and y = 49, is submerged vertically in water (distance in meters). Water surface f(y) (vy.y) R y=x² Calculate the fluid force F on a side of the plate. The acceleration for the gravity is 9.8 m/s². The density of water is 1000 kg/m³. (Give an exact answer. Use symbolic notation and fractions where needed.)

The plate, bounded by the parabola y = x² and y = 49, is submerged vertically in water (distance in meters). Water surface f(y) (vy.y) R y=x² Calculate the fluid force F on a side of the plate. The acceleration for the gravity is 9.8 m/s². The density of water is 1000 kg/m³. (Give an exact answer. Use symbolic notation and fractions where needed.)