The $($non$-$conservative$)$ force propelling a $2000-$kg car up a mountain road does $510^5$J of work on the car. The car starts from rest at sea level and has a speed of $30$ m$/$s at an altitude of $200$ m above sea level. What is the work done on the car by the non$-$conservative friction forces? $($Hint: the total non$-$conservative work $($i$.$e$.$ propulsion and friction$)$ equals the change in total mechanical energy.$)$m

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