Physics

Physics

Problem

A satellite orbits Earth in an ellipse with apogee distance 1.20×107 m1.20\times10^{7}\,\text{m} and perigee distance 8.00×106 m8.00\times10^{6}\,\text{m} (both measured from Earth’s center). At apogee its speed is 5.20×103 m/s5.20\times10^{3}\,\text{m/s}. What is its speed at perigee? (Take Earth’s gravitational parameter to be GM=3.99×1014 m3 ⁣ ⁣/ ⁣s2GM=3.99\times10^{14}\,\text{m}^3\!\!/\!\text{s}^2.) a) 5.2×103 m/s5.2\times10^{3}\,\text{m/s} b) 1.0×104 m/s1.0\times10^{4}\,\text{m/s} c) 7.8×103 m/s7.8\times10^{3}\,\text{m/s} d) 3.5×103 m/s3.5\times10^{3}\,\text{m/s}

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