Q2
Person starts from rest, that is initial speed is zero
At a point where radius makes an angle with vertical let the speed be .
conserving energy of person
At this point forces on the person are gravitational force and Normal reaction .
net force towards the center is giving the centripetal acceleration
(a)
If the person is about to lose contact at this point Normal reaction is . That is
Hence
from earlier equation
Using the above equations
That is the person leaves the surface at an angle
(b)
Just after the person leaves contact his speed is
From this point his displacement to reach the water is
conserving energy again,
A person starts from rest at the top of a large frictionless spherical surface, and slides...
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