Review Problem $13\mathrm{.}1-$ Enhanced $-$ with Hints and Feedback

The motor $\backslash ($ M $\backslash )$ pulls in its attached rope with an acceleration $\backslash ($ a$\_\{$p$\}=8\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}^\{2\}\backslash ).$ The coefficient of kinetic friction between the crate and the plane is $\backslash (\backslash$mu$\_\{$k$\}=0\mathrm{.}5\backslash ).$ Neglect the mass of the pulleys and rope. $($Figure $1)$

Part A

Determine the towing force exerted by $\backslash ($ M $\backslash )$ on the rope in order to move the $\backslash (70-\backslash$mathrm$\{$kg$\}\backslash )$ crate up the inclined plane.

Express your answer to three significant figures and include the appropriate units.

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