In Fig. P3.55 the jet strikes a vane that moves to the right at constant velocity Vc on a frictionless cart. The jet has density ρ, velocity Vj, area Aj, and deflection angle θ. Compute (a) the force Fx required to restrain the cart and (b) the power P delivered to the cart. Also find the cart velocity for which (c) the force Fx is a maximum and (d) the power P is a maximum.