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A particle of mass m is projected upward...

A particle of mass m is projected upwards from the surface of the earth with a velocity equal to half the escape velocity. (R is radius of earth and M is mass of earth)Calculate the potential energy of the particle at its maximum. Write the kinetic energy of the particle when it was at half the maximum height.

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The correct Answer is:
(a) ` (-3GMm)/(4R)`
(b) `(3GMm)/(28R)`
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