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Question

The velocity of a particle is just equal to its escape velocity. Under such situation the total mechanical energy of the particle is zero, Is this statement true or false?

A
True
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B
False
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Solution

The correct option is A True
Since at the escape velocity, the particle escapes to infinity, reaching where its velocity (and hence kinetic energy) becomes 0. Also, due to infinite distance, the potential energy also becomes 0 at infinity. Hence, by energy conservation, the total mechanical energy is 0 at any point. Hence, the statement is true.

Answer is true.

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