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# The 60-kg crate is sliding down the inclined plane. The coefficient of kinetic friction between the crate and the plane is 0.2, and the force P applied to the crate is constant. If the speed of the crate changes from 8 m/s to zero in 3 seconds, determine P.

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$\textbf{Information}\\$

In the exercise$,$ we are given a crate that is sliding down and we are tasked to calculate for the force $P$ with the next information$:\\$

$\hspace{0.25cm}\bullet$ $m=60\text{ kg},$ mass of the crate$,\\$

$\hspace{0.25cm}\bullet$ $\mu_k=0.2,$ coefficient of the kinetic friction$,\\$

$\hspace{0.25cm}\bullet$ $v_1=-8\tfrac{\text{ m}}{\text{ s}},$ initial velocity$,\\$

$\hspace{0.25cm}\bullet$ $v_2=0,$ final velocity$,\\$

$\hspace{0.25cm}\bullet$ $t_1=0,$ initial time$,\\$

$\hspace{0.25cm}\bullet$ $t_2=3\text{ s},$ final time$.$

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