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Q. As per given figure to complete the circular loop what should be its radius, if initial height is 5m?Physics Question Image

Rajasthan PETRajasthan PET 2001

Solution:

The velocity of body at bottom of inclined plane
$ v=\sqrt{2gh}=\sqrt{10g} $
Velocity at minimum point for revolves on circular path will be
$ \sqrt{5gR} $
$ \therefore $ $ \sqrt{5gR}=\sqrt{10g} $
$ \Rightarrow $ $ R=2\text{ }m $