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  • A solid sphere is rolling on a surface its speed is and mass <img alt="\mathrm{(M)}" src="htt

A solid sphere is rolling on a surface its speed is \mathrm{(V)} and mass \mathrm{(M)}. The its kinetic energy is
 

Option: 1

10 \mathrm{mV}^2
 


Option: 2

\mathrm{7 M v^2}
 


Option: 3

\mathrm{\frac{10}{7} m v^2}
 


Option: 4

\mathrm{\frac{7}{10} m v^2}


Answers (1)

best_answer

Angular speed of sphere

\mathrm{ \omega=\frac{v}{R} }

\mathrm{ K \cdot E \cdot= \frac{1}{2} I_c \omega^2+\frac{1}{2} m v_c^2 }

\mathrm{= \frac{1}{2} \times \frac{2}{5} m R^2 \times \frac{v^2}{R^2}+\frac{1}{2} m v^2 }

\mathrm{ = \frac{m v^2}{5}+\frac{1}{2} m v^2 }

\mathrm{K \cdot E \cdot= \frac{7}{10} m v^2 }

Hence option 4 is correct.






 

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