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Answer: 8 × 106 m from the centre of the Earth
Velocity of the rocket, v = 5 km/s = 5 × 103 m/s
Mass of the Earth,
Radius of the Earth,
Height reached by rocket mass, m = h
At the surface of the Earth,
Total energy of the rocket = Kinetic energy + Potential energy
At highest point h,
Total energy of the rocket
From the law of conservation of energy, we have
Total energy of the rocket at the Earth’s surface = Total energy at height h
Height achieved by the rocket with respect to the centre of the Earth
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