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# (Solved): (2) [12 Points] Consider an experiment in which a toy car (mass $$300 \mathrm{~g}$$ ) rolls along ...

(2) [12 Points] Consider an experiment in which a toy car (mass $$300 \mathrm{~g}$$ ) rolls along the track shown in the diagram. The left-hand slope is not as steep as the right-hand slope. Points $$P$$ and $$R$$ are located $$0.8 \mathrm{~m}$$ above the bottom $$($$ point $$Q)$$. 2a)Suppose that the track were frictionless. 2b) Now suppose that the track were not frictionless, with the coefficient of kinetic friction $$\angle k$$ being the same on both the left-hand and right-hand slopes. i. [2 points] In order for the car to feel as small a frictional force as possible as it moves downhill, would you release it (a) at point $$P$$, (b) at point $$R$$, or (c) would it be the same in either case? Explain. ii.[4 points] If the toy car were pleased from rest at point $$P$$ and had a speed of $$v_{0}=\underline{3.2 \mathrm{~m} / \mathrm{s}}$$ at point $$Q$$, calculate the amount of work done on the car by friction between points $$P$$ and $$Q$$. Show all work.

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