A liquid jet of density r and area A strikes a block and splits into two jets, as shown in the figure All three jets have the same velocity V The upper jet exits at angle theta and area alpha A, the lower jet turns down at 90 deg and area (1 minus alpha )A (a) Derive a formula for the forces (Fx, Fy) required to support the block against momentum changes (b) Show that Fy 0 only if alpha ge 0 5 (c) Find the values of alpha and theta for which both Fx and Fy are zero V A (1 )A

Question: A liquid jet of density r and area A strikes a block and splits into two jets, as shown in the figure. All three jets

A liquid jet of density r and area A strikes a block and splits into two jets, as shown in the figure. All three jets have the same velocity V. The upper jet exits at angle θ and area αA, the lower jet turns down at 90° and area (1 − α)A. (a) Derive a formula for the forces (Fx, Fy) required to support the block against momentum changes. (b) Show that Fy = 0 only if α ≥ 0.5. (c) Find the values of α and θ for which both Fx and Fy are zero.

V. A (1- )A

V. A (1- )A

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