Physics

Problem 2- A 350 kg roller coaster starts from rest at point A and slides down the frictionless loop-the-loop shown in the figure.
a) How fast is the roller coaster moving at point B?
b) How hard does it press against the track at point B?

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  1. Use energy principles on A.
    b. force=mg+mv^2/r

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  2. A=mgh
    = 350 x 9.8 x 25
    = 85750 J
    B=MGH
    = 350 x 9.8 x 12
    = 41160 J

    1/2mv^2= A-B
    v=√(2(A-B)/m)
    =16 m/s

    F= (mv^2)/r - mg
    = 14933.3333 - 3430
    = 11503.333 N or simply 1.15 x 10^4 N

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