Consider a spherical planet which is rotating about its axis such that the speed of a point on
its equator is v and the effective acceleration due to gravity on the equator is 
of its value at the poles. What is the escape velocity for a particle at the pole of this planet.
Text Solution
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Escape velocity of a particle from the surface of a planet is given by
where, g = acceleration due to gravity,
and 
radius of the planet
Given, acceleration due to gravity at equator,
Escape velocity of a particle at equator,
At poles,
Hence, 
is the escape velocity for a particle at the pole of this planet.
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