Sputnik I was launched into orbit around Earth in 1957. It had a perigee (the closest approach to Earth, measured from Earth’s center) of 6.81 x 10^6 m and an apogee (the furthest point from Earth’s center) of 7.53 x 10^6 m. What was its speed when it was at its perigee? The mass of Earth is 5.97 x 10^24 kg and G = 6.67 x 10^-11 N • m2/kg2.
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