Mechanical and Materials Engineering Homework Solutions
Problem
#4750

Calculating the maximum velocity of a jet ski.

The ski boat's jet propulsive system draws water in at point A (at the middle of the bottom of the boat) and expels it at B (at back of boat) at 80ft/s relative to the boat.  Assume that the water drawn in enters with no horizontal velocity relative to the surrounding water.  The maximum mass flow rate of water through the engine is 2.5 slugs/s.  Hydrodynamics drag exerts a force on the boat of magnitude 1.5v lb, where v is the boat's velocity in feet per second.  Neglecting aerodynamic drag, what is the ski boat's maximum velocity?

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