The figure shows a $0\mathrm{.}428-kg$ block sliding from A to B along a frictionless surface. When the block reaches B $,$ it continues to slide along the horizontal surface $BC$ where the kinetic frictional force acts. As a result, the block slows down, coming to rest at $C.$ The kinetic energy of the block at $A$ is $37\mathrm{.}0$ J $,$ and the heights of A and $B$ are $10\mathrm{.}5$ and $7\mathrm{.}10$ m above the ground, respectively. $($a$)$ What is the value of the kinetic energy of the block when it reaches B$?($b$)$ How much work does the kinetic frictional force do during the BC segment of the trip?

$($a$)$ Number

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$($b$)$ Number

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