**Unformatted text preview: **U K U K + = + = + Rolling without slipping means 2 5 1 2 2 1 2 5 2 so , . mv I mr I r v ω = ϖ = = m 23 ) m/s 10(9.80 m/s) 82 . 17 ( 7 10 7 2 2 2 10 7 = = = = g v h mv mgh b) , 2 5 1 2 2 1 mv I = Independent of r. c) All is the same, except there is no rotational kinetic energy term in 2 2 1 : mv K K = 2 2 1 mv mgh = 0.7 m, 16 2 2 = = g v h times smaller than the answer in part ( a)....

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