A spacecraft of mass moves in a circular orbit above Earth’s surface ( , )

PHYSICS · Single correct · GCSE · Physics · Energy · Energy

Problem

A spacecraft of mass 2000 kg2000\,\text{kg} moves in a circular orbit 600 km600\,\text{km} above Earth’s surface (RE=6400 kmR_{\rm E}=6400\,\text{km}, g=9.8 m s−2g=9.8\,\text{m s}^{-2}). While in orbit it ejects 500 kg500\,\text{kg} of fuel but remains at the same altitude. After completing its mission it lands on Earth. What is the ratio of its weight on landing to its weight just before the fuel was ejected in orbit? (a) 0.750.75 (b) 0.900.90 (c) 1.201.20 (d) 0.820.82

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