A rocket coasts in deep space with no external forces acting on it

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

Problem

A 2000 kg2000\,\text{kg} rocket coasts in deep space with no external forces acting on it. It ejects 100 kg100\,\text{kg} of exhaust gas in 2.0 s2.0\,\text{s} at a speed of 500 m/s500\,\text{m/s} relative to the rocket. Immediately after the exhaust is expelled, what is the rocket’s average acceleration during the 2.0 s2.0\,\text{s} interval? (a) 25 m/s225\,\text{m/s}^2 (b) 12.5 m/s212.5\,\text{m/s}^2 (c) 0 m/s20\,\text{m/s}^2 (d) 13.2 m/s213.2\,\text{m/s}^2

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