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Kinetic energy of a particle on the surf...

Kinetic energy of a particle on the surface of earth is `E_(0)` and the potential energy is `- 2E_(0)`.
(a) Will the particle escape to infinity ?
(ii) What is the value of potential energy where speed of the particle becomes zero?

Text Solution

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The correct Answer is:
A, B
(a) Total mechanical energy `= E_(0) - 2E_(0) = - E_(0)`.
Since, it is nagative, it will not escape to infinity.
(b) `E_(i) = E_(f) rArr E_(0) - 2E_(0) = 0 + U rArr U = - E_(0)`
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