A toy rocket consists of a container of water and compressed air, as shown in Fig. 3.1. [Figure 3.1] Water is pushed vertically downwards through a nozzle by the compressed air. The rocket moves vertically upwards. The nozzle has a circular cross-section of radius 7.5mm. The density of the water is 1000 kg m⁻³. Assume that the water leaving the nozzle has the shape of a cylinder of radius 7.5 mm and has a constant speed of 13ms⁻¹ relative to the rocket. The container has a mass of 0.40kg. The initial mass of water before the rocket is launched is 0.70kg. The mass of the compressed air in the rocket is negligible. Assume that the resistive force on the rocket due to its motion is negligible.
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