Normal Force and Centripetal Force Ranking Task A roller-coaster track has six s

Question

Normal Force and Centripetal Force Ranking Task A roller-coaster track has six semicircular "dips" with different radil of curvature. The same roller-coaster cart rides through each dip at a difterent speed Part A For the different values given for the radius of curvature R and speed w, rank the magnitude of the force of the roller -coaster track on the cart at the bottom of each dp. Rank from largest to smallest. Te rank items as equivalent, overlap them -15 R 45 R-30 m 16m/s R -15m 16 m/s 12 m R30m smallest largest The correct ranking cannot be determined. n" My Answers Give up Review Part

Explanation / Answer

The centripetal force is given by
F = m v2 / R
mass is same in all situations ,so in all these cases what matters is the velocity and the radius
For the first case
R =30, v = 16
F = m (162 /30) = 8.53 x m
second case
R = 60 , v =16
F = m  (162 /60)
F = 4.26x m
Third case
R = 15 . v =8
F = m  (82 /15)
F = 4.26 x m
Forth case
R =15 , v =12
F = m  (122 /15)
F = 9.6 x m
Fifth case
R = 45 . v = 4
F = m  (42 /45)
F = 0.8 x m
Sixth case
R =30 , v =4
F = m  (42 /30)
F = 1.2 x m
Arranging in decreasing order
Fourth (9.6m) > First (8.53m) > second = third (4.26m) > sixth (1.2m) > fifth (0.8m)

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