A communication satellite is launched with an initial mass (including fuel) of

PHYSICS · Multi-part · CBSE · Physics · Gravitation · Gravitation

Problem

A communication satellite is launched with an initial mass (including fuel) of 2500 kg2500\,\text{kg}. After burning 500 kg500\,\text{kg} of fuel, it settles into a circular orbit 800 km800\,\text{km} above Earth’s surface. Take RE=6400 kmR_{\rm E}=6400\,\text{km} and g=9.8 m s−2g=9.8\,\text{m\,s}^{-2} on the surface. (i) Calculate the weight of the satellite in its final orbit. (ii) Find the percentage change in weight of the satellite relative to its initial weight on the launch pad, accounting for both altitude and mass change.

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