Find the centripetal force of a satellite of mass 1000kg orbiting the earth in a circular orbit close to it's surface. What will be the magnitude of the force if the orbit were not close to the surface of the earth but at a height above it equal to the earth's radius. Why does the centripetal force do not work?
Explanations & Calculations
"\\qquad\\qquad\n\\begin{aligned}\n\\small F&=\\small G\\frac{M_em_s}{r^2}\\\\\n&=\\small (6.67\\times10^{-11}Nkg^{-2}m^2)\\cdot\\frac{(5.97\\times10^{24}kg)\\cdot(10^3kg)}{(6371\\times10^3m)^2}\\\\\n&=\\small \\bold{9810.36\\,N}\n\\end{aligned}"
"\\qquad\\qquad\n\\begin{aligned}\n\\small F_1&=\\small G\\frac{M_em_s}{(2r)^2}\\\\\n&=\\small G\\frac{M_em_s}{r^2}\\cdot\\frac{1}{4}\\\\\n&=\\small \\frac{F}{4}\n\\end{aligned}"
"\\qquad\\qquad\n\\begin{aligned}\n\\small W&=\\small fs\\\\\n&=\\small F\\cos 90\\times2\\pi r\\\\\n&=\\small 0\\times 2\\pi r\\\\\n&=\\small 0\\,J\n\\end{aligned}"
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