A spacecraft with a frontal cross-section S = 50 m2 and a speed v = 10 km/sec falls into a cloud of micrometeors. There is one micrometeor in one cubic meter of space. The mass of each micrometeor is M = 0.02 g. How much must the engine thrust force F increase so that the speed of the ship does not change? The impact of micrometeors on the ship's skin is considered inelastic.
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