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A rocket, launched from the Earth, shuts off its engines when its speed is 4.90 km/s....

A rocket, launched from the Earth, shuts off its engines when its speed is 4.90 km/s. It reaches a maximum altitude H of 2790 km before it falls back to Earth. At what altitude l did the rocket's engines shut off? The mass, radius, and escape speed of the Earth are 5.972 x 1024 kg, 6.371 x 106 m, and 11.18 km/s respectively (4 points)

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