A solid sphere rolls on a smooth horizontal surface at \( 10 \mathrm{~m} / \mathrm{s} \) and the...

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A solid sphere rolls on a smooth horizontal surface at \( 10 \mathrm{~m} / \mathrm{s} \) and then rolls up a smooth inclined plane of inclination \( 30^{\circ} \) with horizontal. The mass of the sphere is \( 2 \mathrm{~kg} \). Find the height attained by the sphere before it stops (in \( \mathrm{m} \) ).
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