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Show that the velocity of an object rele...

Show that the velocity of an object released from rest at infinity reaches the earth with a velocity equal to the escape velocity .

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To show that the velocity of an object released from rest at infinity reaches the Earth with a velocity equal to the escape velocity, we can follow these steps: ### Step 1: Define the Escape Velocity The escape velocity \( v_e \) from the surface of the Earth is given by the formula: \[ v_e = \sqrt{\frac{2GM}{R}} \] where \( G \) is the universal gravitational constant, \( M \) is the mass of the Earth, and \( R \) is the radius of the Earth. ...
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