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A block of mass is placed on a surface with a vertical cross section given by `y=x^3/6`. If the coefficient of friction is 0.5, the maximum height above the ground at which the block can be placed without slipping is:

A

`(1)/(6)m`

B

`(2)/(3)m`

C

`(1)/(3)m`

D

`(1)/(2)m`

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