Question

A student of weight 659 N rides a steadily rotating Ferris wheel (the student sits upright). At the highest point, the magnitude of the normal force F with arrowN on the student from the seat is 560 N. (a) Does the student feel "light" or "heavy" there? heavy light Correct: Your answer is correct. (b)What is the magnitude of F with arrowN at the lowest point? 758 Correct: Your answer is correct. N (c) If the wheel's speed is doubled, what is the magnitude of F with arrowN at the highest point? N (d) What is the magnitude of F with arrowN at the lowest point under the same conditions as in (c)?

Answer 1

Answer:

a) The student feel light

b) Nbottom = 758 N

c) N'top= 236 N

d) N'bottom= 1055 N

Explanation:

a) W= 659N , Ntop= 560N

W > Ntop ---> Student feel less weight

b)   Top:

∑F= W - Ntop = m.v²/R

m.v²/R = 659N - 560 N = 99 N

Bottom:

∑F= Nbottom- W = m.v²/R

Nbottom= W + m.v²/R = 659N + 99 N = 758N

c) W= 659 N , Ntop= 560 N , v'=2.v

N'top= ?

∑F= W - N'top = m.v'²/R

N'top= W - 4.m.v²/R

N'top = 659 N - 4. 99 N = 263 N

d)   N'bottom = ?

∑Fbottom= N'bottom- W = m.v'²/R

N'bottom = W + 4.m.v²/R = 659 N + 4. 99 N = 1055 N