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A Rocket's Kinetic Energy and Maximum Height

A 150.0-kg rocket moving radially outward from Earth has a speed of 3.70 km/s when its engine shuts off 200 km above Earth's surface. a) Assuming negligible air drag, find the rocket's kinetic energy when the rocket is 1000 km above Earth's surface. b) What maximum height above the surface is reached by the rocket?

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