A solid sphere is in rolling motion. In rolling motion a body possesses translational kinetic energy ( K _ t ) as well as rotational kinetic energy ( K _ r ) simultaneously. The ratio K _ t : ( K _ t + K _ r ) for the

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Correct answer: B. 5 : 7

Transnational KE = (1)/(2) m v ^ 2 Translational KE + Rotational KE = (1)/(2) m v ^ 2 + (1)/(2) I ω ^ 2 = (1)/(2) m v ^ 2 + (1)/(2) ( (2)/(5) m r ^ 2 ) ω ^ 2 ∵ for rolling motion v = rω = (1)/(2) m v ^ 2 + (1)/(2) × (2)/(5) m r ^ 2 ( (v)/(r) ) ^ 2 = (7)/(10) m v ^ 2 So, K _ t K _ t + K _ r = (1)/(2) m v ^ 2 (7)/(10) m v ^ 2 = (5)/(7)

A solid sphere is in rolling motion. In rolling motion a body...

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