Task id16361

A hydraulic machine of mass m = 2000 kg moves on wheels on a horizontal floor as a result of the ejection of a jet of water from it with a relative speed v = 12 m/s through a hole of diameter d = 4 cm. At some point in time, the speed of the machine is vm = 5 m/s. How much will the speed of the car increase after a period of time dt, if this interval is short enough? How to calculate the speed increment after 1s, 2s, etc.? Neglect friction and reduction in machine mass due to fluid leakage.