A jet of water issuing from a stationary nozzle at (10 mathrm{~m} / mathrm{s}left(A_{j}=0.1 mathrm{~m}^{2} ight)) strikes

A jet of water issuing from a stationary nozzle at \(10 \mathrm{~m} / \mathrm{s}\left(A_{j}=0.1 \mathrm{~m}^{2}\right)\) strikes a turning vane mounted on a cart as shown. The vane turns the jet through angle \(\theta=40^{\circ}\). Determine the value of \(M\) required to hold the cart stationary. If the vane angle \(\theta\) is adjustable, plot the mass, \(M\), needed to hold the cart stationary versus \(\theta\) for \(0 \leq \theta \leq 180^{\circ}\).

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V M P4.53