Water flows from a two-dimensional open channel and is diverted by an inclined plate as illustrated in Fig. P5.78. When the velocity at section (1) is \(10 \mathrm{ft} / \mathrm{s}\), what horizontal force (per unit width) is required to hold the plate in position? At section (1) the pressure distribution is hydrostatic, and the fluid acts as a free jet at section (2). Neglect friction.

Figure P5.78

Section (1) 10 ft/s 4 ft 20 Plate Section (2) 1.0 ft