8 × 106 m from the centre of the Earth
Velocity of the rocket, v = 5 km/s = 5 × 103 m/s
![](https://www.sarthaks.com/?qa=blob&qa_blobid=16753168997194954320)
Height reached by rocket mass, m = h
At the surface of the Earth,
Total energy of the rocket = Kinetic energy + Potential energy
![](https://www.sarthaks.com/?qa=blob&qa_blobid=8194843151304839235)
From the law of conservation of energy, we have
Total energy of the rocket at the Earth’s surface = Total energy at height h
![](https://www.sarthaks.com/?qa=blob&qa_blobid=7622929413779074596)
![](https://www.sarthaks.com/?qa=blob&qa_blobid=13266642736493453836)
![](https://www.sarthaks.com/?qa=blob&qa_blobid=1621917925601198196)
Height achieved by the rocket with respect to the centre of the Earth
![](https://www.sarthaks.com/?qa=blob&qa_blobid=11617255828244591457)