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The explosion in a cannon exerts an average force of 30,000 N for L meters, the length of the cannon. What length of the cannon would be necessary to shoot a 2.0 kg projectile from the surface of the Earth to a distance of 6.84 × 108 m from the center of the Earth (the same as the distance to the Moon) ? (G = 6.67 × 10−11 N·m2/kg2, ME = 5.97 × 1024 kg, and RE = 6.37 × 106 m.)
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