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if velocity given to an object from the surface of the earth is n times the escapes velocity then what will be the residual velocity at inifinity.

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To solve the problem, we need to determine the residual velocity of an object at infinity when it is given an initial velocity that is \( n \) times the escape velocity from the surface of the Earth. ### Step-by-Step Solution: 1. **Understanding Escape Velocity**: The escape velocity (\( V_e \)) from the surface of the Earth is given by the formula: \[ V_e = \sqrt{\frac{2GM}{R}} ...
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