A tank, which has a mass of 50 kg when empty, is propelled to the left by a force P and scoops up fresh water from a stream flowing in the opposite direction with a velocity of 1.5 m/s. The entrance area of the scoop is 2000 mm2, and water enters the scoop at a rate equal to the velocity of the scoop relative to the stream. Determine the force P at a certain instant for which 80 kg of water have been ingested and the velocity and acceleration of the tank are 2 m/s and 0.4 m/s2, respectively. Neglect the small impact pressure at the scoop necessary to elevate the water in the tank.
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