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  • A solid sphere of mass rolls without slipping on a plane surface. Its kinetic energy

A solid sphere of mass \mathrm{ 1 kg } rolls without slipping on a plane surface. Its kinetic energy is  \mathrm{7 \times 10^{-3} J}. The speed of the centre of mass of the sphere is _________ \mathrm{cms^{-1}}

Option: 1

10


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

Rolling Without Slipping

\mathrm{ K E=\frac{1}{2} M V^2+\frac{1}{2} I \omega^2 }
\mathrm{ K E=\frac{1}{2} M V^2+\frac{1}{2}\left(\frac{2}{5} M R^2\right)\left(\frac{v}{R}\right)^2 }
\mathrm{ K E=\frac{7}{10} M V^2=7 \times 10^{-3} }
\mathrm{V^2=10^{-2} }
\mathrm{ V=10^{-1} \mathrm{~m} / \mathrm{s} }
\mathrm{ V=10 \mathrm{~cm} / \mathrm{s}}
 

Posted by

Pankaj Sanodiya

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