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welcome to a video on vector applications involving force and work letamp;#39;s go and take a look at our first example if a 4 000 pound car comes to rest on a hill with a grade of 5 degrees how much force is needed to be applied so it doesnamp;#39;t roll back down the hill so the grade is 5 degrees so letamp;#39;s go ahead and label this and since the car weighs 4 000 pounds this red vector here would be our force vector where we could let the x component equal zero and the y component equal negative 4000. now in relation to the ramp this force vector has two components one component thatamp;#39;s parallel to the ramp another component that is perpendicular to the ramp so the amount of force needed to be applied so it doesnamp;#39;t roll back down the hill would have to be the force that counteracts this force here well if we take a look at this if we project the force vector onto the ramp that would give us the amount of force thatamp;#39;s pushing it down the ramp and therefor