KVPY SX SB Exam 2013 Question Paper

Question : 97 of 120

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A solid sphere rolls without slipping, first horizontally and then up to a point X at height h on an inclined plane before rolling down, as shown.

The initial horizontal speed of the sphere is

Solution:

\mgh=1/2\m\v^2+1/2 2/5 \mR^2 v^2/\R^2

\mgh=7/10\m\v^2

\v=√{{10\gh}/7}

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