?Your cousin Freddy recently graduated from Podunk University with his Associate's Degree in Underwater Pottery Technology. He is very proud of the fact that, only two weeks out of school, he already has a job $?$ ?moving boxes for Acme Hardware Co$.,$ ?Inc. On one particularly fine sunny afternoon, Frederick finds himself having to move a box of fragile glass down a rather steep ramp. He is told to tie a rope to the box and then to lower it at a steady rate down the ramp, while pulling from above. $($See the the figure below. What must be the box$?$s acceleration?$)$ ? If the box has a mass of $50\mathrm{.}0$ ?kg$,$ ?and if Freddy pulls up at an angle of $20$oabove the angle of the ramp, and if the ramp is at an angle of $40$o above the horizontal, find the value of the force with which Freddy must pull to lower the box if the coefficient of friction between the incline and the box is $0\mathrm{.}10.($This one is a bit messier than the preceding problem!$)$

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