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**Unformatted text preview: **T r R =-from which . r V = The work-energy theorem then states , ) 10 7 ( 2 mv mgy = and combining, canceling the factors of m and g leads to , 2 ) )( 10 7 ( R r h r R-+ =-and solving for h gives . ) 10 17 ( ) 10 27 ( r R h-= b) In the absence of friction, , ) 2 1 ( 2 mv mgy = and substitution of the expressions for y and 2 v in terms of the other parameters gives , 2 ) )( 2 1 ( R r h r R--=-which is solved for . ) 2 3 ( ) 2 5 ( r R h-=...

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