A rocket of mass 40 kg has 160 kg fuel

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A rocket of mass 40 kg has 160 kg fuel. The exhaust velocity of the fuel is 2 km s−12\,\text{km s}^{-1}. The rate of consumption of fuel is 4 kg s−14\,\text{kg s}^{-1}. Calculate the ultimate vertical speed gained by the rocket. (1) 2.82 km s−12.82\,\text{km s}^{-1} (2) 4.82 km s−14.82\,\text{km s}^{-1} (3) 3.61 km s−13.61\,\text{km s}^{-1} (4) 5.62 km s−15.62\,\text{km s}^{-1}

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