Problem $4$: $(6\%$ of Assignment Value$)$

A block of mass $m$ is initially at rest at the top of an inclined plane which has a height of $6\mathrm{.}07$ m and makes an angle of $=22\mathrm{.}3$ with respect to the horizontal. After being released, it is observed to be traveling at $v=6\mathrm{.}87\frac{m}{s}$ a distance $d$ after the end of the inclined plane, as shown. The coefficient of kinetic friction between the block and the plane is ${}_p=0\mathrm{.}10,$ and the coefficient of friction on the horizontal surface is ${}_r=0\mathrm{.}20.$

Part $($a$)$

What is the speed of the block, in meters per second, just after it leaves the inclined plane?

$v_{\text{b}\text{o}\text{t}\text{t}\text{o}\text{m}}=9\mathrm{.}490\frac{m}{s}$

$$ Correct!

Part $($b$)$

Find the distance, $d,$ in meters.

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