A ball enters a frictionless track spiraling upward with a speedvo. The radius of the track is half a meter and it has a pitch (ѳ)of 15°.
(a) If the initial speed of the ball is 12 m/s, how highvertically will it rise?
(b) Compare your answer to part (a) with the height the ballwould rise if it had been thrown vertically upward, into freefall,with the same initial speed. Explain your results.
(c) If you wish the ball to make exactly 5 revolutions beforemomentarily coming to rest, how fast must it initially be movingwhen entering the spiral track?
(d) What assumptions or simplifications did you make in part (c)about the total distance traveled that leaves your answer veryclose but not exact (friction is not the answer)? Use RelatedQuantities in conjunction with Order of Magnitude sense-making tojustify your assumptions/simplifications.
