A proposed “space elevator” can lift a 1,000-kg payload to an orbit of 150 km above the Earth’s surface. The radius of the Earth is 6.4 × 106 m and the Earth’s mass is 6 × 1024 kg. What is the gravitational potential energy of the payload when it reaches orbit?

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A proposed “space elevator” can lift a 1,000-kg payload to an orbit of 150 km above the Earth’s surface. The radius of the Earth is 6.4 × 106 m and the Earth’s mass is 6 × 1024 kg. What is the gravitational potential energy of the payload when it reaches orbit?