problem05_68

# University Physics with Modern Physics with Mastering Physics (11th Edition)

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5.68: (a) Choosing upslope as the positive direction: ma mg mg f mg F = ° - ° - = - ° - = 37 cos 37 sin 37 sin k k net μ and 2 2 s m 25 . 8 )) 799 . 0 )( 30 . 0 ( 602 . 0 ( ) s m 8 . 9 ( - = + - = a Since we know the length of the slope, we can use ) ( 2 0 2 0 2 x x a v v - + = with 0 0 = x and 0 = v at the top. s m 11 or s m 5 . 11 s m 132 s m 132 m) 0 . 8 )( s m 25 . 8 ( 2 2 2 2 0 2 2 2 2 0 = = = - - = - = v ax v (b) For the trip back down the slope, gravity and the friction force operate in opposite directions : 2 2 k net s m 55 . 3 )) 799 . 0 )( 30 . 0 ( ) 602 . 0 )((

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Unformatted text preview: 37 cos 30 . 37 sin ( 37 cos 37 sin-= +-= ° + °-= = ° + °-= g a ma mg μ mg F Now s m 7.5 or s m 54 . 7 s m 8 . 56 s m 8 . 56 m) . 8 )( s m 55 . 3 ( 2 ) ( 2 and , m, . 8 , 2 2 2 2 2 2 2 = = =--+ =-+ = =-= = v x x a v v x x v...
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