A remote-sensing satellite of negligible mass compared with the Earth is placed in a…

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

Problem

A remote-sensing satellite of negligible mass compared with the Earth is placed in a circular orbit 900 km900\,\text{km} above the Earth’s surface. Taking G=6.67×10−11 N m2kg−2G = 6.67\times10^{-11}\,\text{N m}^2\text{kg}^{-2}, M=6.0×1024 kgM = 6.0\times10^{24}\,\text{kg} and the Earth’s radius R ⁣E=6.4×106 mR_{\!E}=6.4\times10^{6}\,\text{m}, calculate the following per unit mass of the satellite. (i) The orbital speed. (ii) The kinetic energy. (iii) The potential energy with reference level at infinity. (iv) The total mechanical energy.

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