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Grade upto college level General Physics

A particle is sliding down a frictionless hemispherical band. It passes the point A at t = 0. At this instant of time the horizontal component of its velocity is V. A bead Q of same mass as P is ejected from A at
t = 0 along the horizontal string AB with speed V. There is no friction between string and bead. Find out which of them takes more time to reach B.

Profile image of Deepak Patra
12 Years agoGrade upto college level
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1 Answer

Profile image of Kevin Nash
12 Years ago

Since Q moves with uniform velocity V along x direction and P has variable velocity component along x direction which is increasing gradually downwards. So if we take the whole path along AOB, then average velocity is more than V along x direction for the whole path.

1118_88603_Image~ 1.jpg

Hence the time taken for the path AOB is less than time taken in AB.

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