(Solved): A cart with frictionless wheels carries a vertical plate. A jet of water with a velocity Vj hit ...

A cart with frictionless wheels carries a vertical plate. A jet of water with a velocity $$V_j$$ hits the plate and causes it to move with a velocity $$V_c.A_j$$ is the area on which the jet impinges and $${?}_j$$ is the density of water. Use the control volume shown by dotted lines in the figure below. a. (5 marks) Find $$V_c(t)$$ using the relevant form of conservation of momentum and mass. b. (3 marks) Find the time required for the cart to accelerate to $$90\%$$ of jet velocity. c. (2 marks) Can the cart reach the jet velocity? Please explain.