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Movers left a 20 kg box sitting on the 40 degrees angled ramp from the back of their truck to the ground.

Fortunately, the box doesn’t slide.
a)  Draw a free-body diagram for the box. Make sure to clearly label your vectors.
b)  What force of static friction is needed to keep the box from moving? (If no friction is needed, explain why.)
c)  The movers place a second box (10 kg) on top of the first, and they still don’t slide (aside: do you know why?). Draw free-body diagrams for both boxes together and for the bottom box by itself. Make sure to clearly label your vectors.
d) It then starts to rain, which lowers friction on the ramp enough for the boxes to begin sliding together. If it takes 1.5 seconds for the boxes to slide down the 4 m ramp, what is the force of kinetic friction acting on the boxes? ,.

 

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