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{"ops":[{"insert":"Scientists are developing a new space cannon to shoot objects from the surface of the Earth directly into a low orbit around the Earth. For testing purposes, a projectile is fired with an initial velocity of 2.8 km\/s vertically into the sky. Calculate the height that the projectile reaches, ... (a) assuming a constant gravitational deceleration of 9.81 m\/s2 . (b) considering the change of the gravitational force with height. Note: Neglect the air resistance for this problem. Use 6.67\u00d710\u221211 m3kg\u22121 s \u22122 for the gravitational constant, 6371 km for the Earth\u2019s radius, and 5.97 \u00d7 1024 kg for the Earth\u2019s mass.\u00a0\n"}]}
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